Partial differential equations

Organisational unit: Research group

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  1. 2019
  2. A variational approach to splitting schemes, with applications to domain decomposition integrators

    Eisenmann, M. & Eskil Hansen, 2019 Feb 27, (Submitted) In : Mathematics of Computation.

    Research output: Contribution to journalArticle

  3. Automatic detection of small areas of Gleason grade 5 in prostate tissue using CNN

    Tall, K., Ida Arvidsson, Niels Christian Overgaard, Karl Åström & Anders Heyden, 2019, Medical Imaging 2019: Digital Pathology. SPIE, Vol. 10956. 109560E

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  4. A variational principle for three-dimensional water waves over Beltrami flows

    Lokharu, E. & E. Wahlén, 2019, In : Nonlinear Analysis, Theory, Methods and Applications. 184, p. 193-209 17 p.

    Research output: Contribution to journalArticle

  5. Perfect partial reconstructions for multiple simultaneous sources

    Wittsten, J., Andersson, F., Robertsson, J. & Amundsen, L., 2019, In : Geophysical Prospecting.

    Research output: Contribution to journalArticle

  6. Steady three-dimensional rotational flows: An approach via two stream functions and Nash-Moser iteration

    Buffoni, B. & Erik Wahlén, 2019, In : Analysis and PDE. 12, 5, p. 1225-1258 34 p.

    Research output: Contribution to journalArticle

  7. The Distribution of Superconductivity Near a Magnetic Barrier

    Wafaa Assaad, Kachmar, A. & Mikael Persson-Sundqvist, 2019, In : Communications in Mathematical Physics. 366, 1, p. 269-332

    Research output: Contribution to journalArticle

  8. 2018
  9. Estimating the hindered-settling flux function from a batch test in a cone

    Bürger, R., Julio Careaga, Stefan Diehl, Merckel, R. & Zambrano, J., 2018 Dec 31, In : Chemical Engineering Science. 192, p. 244-253 10 p.

    Research output: Contribution to journalArticle

  10. Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations

    Eisenmann, M. & Eskil Hansen, 2018 Dec, In : Numerische Mathematik. 140, 4, p. 913-938

    Research output: Contribution to journalArticle

  11. Solitary Wave Solutions to a Class of Modified Green–Naghdi Systems

    Duchêne, V., Nilsson, D. & Erik Wahlén, 2018 Sep 1, In : Journal of Mathematical Fluid Mechanics. 20, 3, p. 1059-1091 33 p.

    Research output: Contribution to journalArticle

  12. Flux identification of scalar conservation laws from sedimentation in a cone

    Bürger, R., Julio Careaga & Stefan Diehl, 2018 May 4, In : IMA journal of Applied Mathematics. 83, p. 526-552

    Research output: Contribution to journalArticle

  13. Analysis of photobioreactors in series

    Stefan Diehl, Zambrano, J. & Carlsson, B., 2018, In : Mathematical Biosciences. 306, p. 107-118

    Research output: Contribution to journalArticle

  14. Convection-diffusion-reaction and transport-flow problems motivated by models of sedimentation: some recent advances

    Burger, R., Stefan Diehl, Julio Careaga, Mejías, C. & Ruiz Baier, R., 2018, Proceedings of the International Congress of Mathematicians 2018. Sirakov, B., de Souza, P. N. & Viana, M. (eds.). World Scientific, Vol. Vol. IV: Invited Lectures. p. 3489-3514

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  15. On steady waves in two-layer fluids and ferrofluids

    Nilsson, D., 2018, Lund: Lund University, Faculty of Science, Centre for Mathematical Sciences. 261 p.

    Research output: ThesisDoctoral Thesis (compilation)

  16. Solvability of subprincipal type operators

    Nils Dencker, 2018, Mathematical Analysis and Applications-Plenary Lectures - ISAAC 2017. Toft, J. & Rodino, L. G. (eds.). Springer, Vol. 262. p. 1-49 49 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  17. Spatial Dynamics Methods for Solitary Waves on a Ferrofluid Jet

    Groves, M. D. & Nilsson, D. V., 2018, In : Journal of Mathematical Fluid Mechanics. 20, 4, p. 1427-1458 32 p.

    Research output: Contribution to journalArticle

  18. 2017
  19. On Goal Oriented Time Adaptivity using Local Error Estimates

    Peter Meisrimel & Philipp Birken, 2017 Dec, PAMM: Proceedings in applied mathematics and mechanics. 1 ed. Weimar: Wiley Online Library, Vol. 17. p. 849-850 2 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  20. Internal gravity-capillary solitary waves in finite depth

    Nilsson, D. V., 2017 Mar 15, In : Mathematical Methods in the Applied Sciences. 40, 4, p. 1053-1080 28 p.

    Research output: Contribution to journalArticle

  21. On constitutive functions for hindered settling velocity in 1-D settler models: Selection of appropriate model structure

    Torfs, E., Balemans, S., Locatelli, F., Stefan Diehl, Bürger, R., Laurent, J., François, P. & Nopens, I., 2017 Mar 1, In : Water Research. 110, p. 38-47 10 p.

    Research output: Contribution to journalArticle

  22. Transverse instability of periodic and generalized solitary waves for a fifth-order KP model

    Haragus, M. & Erik Wahlén, 2017 Feb 15, In : Journal of Differential Equations. 262, 4, p. 3235-3249 15 p.

    Research output: Contribution to journalArticle

  23. Steady-state analyses of activated sludge processes with plug-flow reactor

    S. Diehl, Zambrano, J. & Carlsson, B., 2017 Feb 1, In : Journal of Environmental Chemical Engineering. 5, 1, p. 795–809 15 p.

    Research output: Contribution to journalArticle

  24. Perturbations of embedded eigenvalues for a magnetic Schrödinger operator on a cylinder

    Laptev, A. & Sara Maad Sasane, 2017 Jan 1, In : Journal of Mathematical Physics. 58, 1, 012105.

    Research output: Contribution to journalArticle

  25. Additive domain decomposition operator splittings – convergence analyses in a dissipative framework

    Eskil Hansen & Henningsson, E., 2017, In : IMA Journal of Numerical Analysis. 37, 3, p. 1496-1519 24 p.

    Research output: Contribution to journalArticle

  26. Experimental and Numerical Aspects of a Thermal Fluid-Structure Phenomenon

    Gleim, T., Philipp Birken, Weiland, M., Kuhl, D., Meister, A. & Wuensch, O., 2017, International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2016). American Institute of Physics Inc., 4 p. 410004. (AIP Conference Proceedings; vol. 1863).

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  27. Flawless diamond reconstruction for simultaneous source separation

    Andersson, F., Robertsson, J. O. A., Van Manen, D. J., Wittsten, J., Eggenberger, K. & Amundsen, L., 2017, 79th EAGE Conference and Exhibition 2017. European Association of Geoscientists and Engineers, EAGE

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  28. Numerical methods for unsteady thermal fluid structure interaction

    Philipp Birken & Monge, A., 2017, Fluid-Structure Interaction Modeling, Adaptive Discretisations and Solvers. Stefan, F., Holm, B., Richter, T., Wick, T. & Yang, H. (eds.). De Gruyter, p. 129-168 40 p.

    Research output: Chapter in Book/Report/Conference proceedingBook chapter

  29. Operators of subprincipal type

    Nils Dencker, 2017, In : Analysis & PDE. 10, 2, p. 323–350

    Research output: Contribution to journalArticle

  30. 2016
  31. An age structured cell cycle model with crowding

    Sara Maad Sasane, 2016 Dec 1, In : Journal of Mathematical Analysis and Applications. 444, 1, p. 768-803 36 p.

    Research output: Contribution to journalArticle

  32. A comparison of Rosenbrock and ESDIRK methods combined with iterative solvers for unsteady compressible flows

    Blom, D. S., Philipp Birken, Bijl, H., Kessels, F., Meister, A. & van Zuijlen, A. H., 2016 Dec, In : Advances in Computational Mathematics. 42, 6, p. 1401–1426 26 p.

    Research output: Contribution to journalArticle

  33. Variational existence theory for hydroelastic solitary waves: Une théorie variationnelle d'existence d'ondes solitaires hydroélastiques

    Groves, M. D., Hewer, B. & Erik Wahlén, 2016 Nov 1, In : Comptes Rendus Mathematique. 354, 11, p. 1078-1086 9 p.

    Research output: Contribution to journalArticle

  34. Efficient Time Integration of IMEX Type using Exponential Integrators for Compressible, Viscous Flow Simulation

    Veronika, S., Ortleb, S., Philipp Birken & Meister, A., 2016 Oct 25, In : PAMM - Proceedings in Applied Mathematics and Mechanics. 16, p. 867-868 2 p.

    Research output: Contribution to journalArticle

  35. Simulations of reactive settling of activated sludge with a reduced biokinetic model

    Bürger, R., Careaga, J., Stefan Diehl, Mejías, C., Nopens, I., Torfs, E. & Vanrolleghem, P. A., 2016 Sep 2, In : Computers and Chemical Engineering. 92, p. 216-229 14 p.

    Research output: Contribution to journalArticle

  36. Efficient simulations of tubulin-driven axonal growth

    Stefan Diehl, Henningsson, E. & Anders Heyden, 2016 Aug, In : Journal of Computational Neuroscience. 41, 1, p. 45-63 19 p.

    Research output: Contribution to journalArticle

  37. Clusters of eigenvalues for the magnetic Laplacian with Robin condition

    Goffeng, M., Kachmar, A. & Mikael Persson Sundqvist, 2016 Jun 1, In : Journal of Mathematical Physics. 57, 6, 063510.

    Research output: Contribution to journalArticle

  38. A Dimension-Breaking Phenomenon for Water Waves with Weak Surface Tension

    Groves, M. D., Sun, S. M. & E. Wahlén, 2016 May 1, In : Archive for Rational Mechanics and Analysis. 220, 2, p. 747-807 61 p.

    Research output: Contribution to journalArticle

  39. Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations

    Groves, M. D., Sun, S. M. & Erik Wahlén, 2016 May 1, In : Comptes Rendus Mathématique. 354, 5, p. 486-492 7 p.

    Research output: Contribution to journalArticle

  40. A Full Space-Time Convergence Order Analysis of Operator Splittings for Linear Dissipative Evolution Equations

    Eskil Hansen & Henningsson, E., 2016 May, In : Communications in Computational Physics. 19, 5, p. 1302-1316 15 p.

    Research output: Contribution to journalArticle

  41. A Note on Terminology in Multigrid Methods

    Philipp Birken, Bull, J. & Jameson, A., 2016, In : PAMM - Proceedings in Applied Mathematics and Mechanics. 16, p. 721-722 2 p.

    Research output: Contribution to journalArticle

  42. A simplified model of an activated sludge process with a plug-flow reactor

    Zambrano, J., Carlsson, B., Stefan Diehl & Nehrenheim, E., 2016, Proceedings of The 9th Eurosim Congress on Modelling and Simulation EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016. Linköping: Linköping University Electronic Press, p. 824-830 (Linköping electronic conference proceedings; vol. 142).

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  43. Concentration-driven models revisited: Towards a unified framework to model settling tanks in WWTPs

    Torfs, E., Locatelli, F., Balemans, S., Laurant, J., Vanrolleghem, P. A., Bürger, R., Stefan Diehl, François, P., Mosse, R. & Nopens, I., 2016, Proceedings 5th IWA/WEF Wastewater Treatment Modelling Seminar (WWTmod2016). International Water Association (IWA), p. 109-118

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  44. High-order splitting schemes for semilinear evolution equations

    Eskil Hansen & Ostermann, A., 2016, In : BIT Numerical Mathematics. 56, 4, p. 1303–1316 14 p.

    Research output: Contribution to journalArticle

  45. On time discretizations for the batch simulation of the settling-compression process in one dimension

    Bürger, R., Stefan Diehl & Mejías, C., 2016, In : Water Science and Technology. 73, 5, p. 1010-1017

    Research output: Contribution to journalArticle

  46. Steady-state analysis of activated sludge processes with a settler model including sludge compression

    Stefan Diehl, Zambrano, J. & Carlsson, B., 2016, In : Water Research. 88, 1, p. 104-116

    Research output: Contribution to journalArticle

  47. The spectral problem for the dispersionless camassa-holm equation

    C. Bennewitz, Brown, B. M. & Weikard, R., 2016, In : Operator Theory: Advances and Applications. 255, p. 67-90 24 p.

    Research output: Contribution to journalArticle

  48. 2015
  49. A Memory-Efficient Finite Volume Method for Advection-Diffusion-Reaction Systems with Non-Smooth Sources

    Schäfer, J., Huang, X., Philipp Birken, Gobbert, M. K. & Andreas, M., 2015, In : Numerical Methods for Partial Differential Equations. 31, 1, p. 143-167

    Research output: Contribution to journalArticle

  50. Analyses of activated sludge processes consisting of a plug-flow reactor and a non-ideal settler

    Carlsson, B., Stefan Diehl & Zambrano, J., 2015, 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex). 4 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  51. Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem

    Monge, A. & Philipp Birken, 2015, VI International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015), Proceedings of the. Schrefler, B. A., Oñate, E. & Papadrakakis, M. (eds.). CIMNE, p. 452-463 12 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  52. Critical analysis of constitutive functions for hindered settling velocity in 1-D settler models

    Torfs, E., Balemans, S., Locatelli, F., Laurant, J., Francois, P., Burger, R., Stefan Diehl & Nopens, I., 2015, 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex). 5 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  53. Extrapolation in Time in Thermal Fluid Structure Interaction

    Philipp Birken, Gleim, T., Kuhl, D. & Meister, A., 2015, Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering). Mehl, M., Bischoff, M. & Schäfer, M. (eds.). Springer, Vol. 105. p. 215-231 17 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  54. Fast Solvers for Unsteady Thermal Fluid Structure Interaction

    Philipp Birken, Gleim, T., Andreas, K. & Andreas, M., 2015, In : International Journal for Numerical Methods in Fluids. 79, 1, p. 16-29

    Research output: Contribution to journalArticle

  55. Impact of the flocculation state on hindered and compression settling: experimental evidence and overview of available modelling frameworks

    Torfs, E., Locatelli, F., Balemans, S., Stefan Diehl, Burger, R., Francois, P., Laurant, J. & Nopens, I., 2015, 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex). 5 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  56. Impact on sludge inventory and control strategies using the Benchmark Simulation Model No. 1 with the Bürger-Diehl settler model

    Torfs, E., Maere, T., Bürger, R., Stefan Diehl & Nopens, I., 2015, In : Water Science and Technology. 71, 10, p. 1524-1535

    Research output: Contribution to journalArticle

  57. L2Roe: A low-dissipation version of Roe's approximate Riemann solver for low Mach numbers

    Osswald, K., Siegmund, A., Philipp Birken, Hannemann, V. & Meister, A., 2015, In : International Journal for Numerical Methods in Fluids.

    Research output: Contribution to journalArticle

  58. Lack of Diamagnetism and the Little-Parks Effect

    Fournais, S. & Mikael Persson Sundqvist, 2015, In : Communications in Mathematical Physics. 337, 1, p. 191-224

    Research output: Contribution to journalArticle

  59. Nodal domains in the square – the Neumann case

    Helffer, B. & Mikael Persson Sundqvist, 2015, In : Moscow Mathematical Journal. 15, 3, p. 455-495

    Research output: Contribution to journalArticle

  60. On time discretizations for the simulation of the settling-compression process

    Burger, R. & Stefan Diehl, 2015, 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex). 4 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  61. Phase field modelling of stress corrosion

    Per Ståhle & Eskil Hansen, 2015, In : Engineering Failure Analysis. 47, p. 241-251 10 p.

    Research output: Contribution to journalArticle

  62. Steady-state analysis and design of activated sludge processes including compressive settling

    Stefan Diehl, Zambrano, J. & Carlsson, B., 2015, 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex). 4 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  63. The Bürger-Diehl model: The right integrator for the right model

    Garneau, C., Stefan Diehl, Torfs, E., Burger, R., Claeys, F. A. & Vanrolleghem, P. A., 2015, 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex). 3 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  64. Thermal Fluid-Structure-Interaction - Experimental and Numerical Analysis

    Gleim, T., Philipp Birken, Weiland, M., Kuhl, D., Meister, A. & Wuensch, O., 2015, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014). Amer. Inst. Physics, Vol. 1648.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  65. Trimodal Steady Water Waves

    Ehrnstrom, M. & Erik Wahlén, 2015, In : Archive for Rational Mechanics and Analysis. 216, 2, p. 449-471

    Research output: Contribution to journalArticle

  66. 2014
  67. Advanced methods of flux identification for clarifier–thickener simulation models

    Betancourt, F., Bürger, R., Stefan Diehl & Mejías, C., 2014, In : Minerals Engineering. 63, August 2014, p. 2-15

    Research output: Contribution to journalArticle

  68. A one-dimensional moving-boundary model for tubulin-driven axonal growth.

    Stefan Diehl, Henningsson, E., Anders Heyden & Perna, S., 2014, In : Journal of Theoretical Biology. 358, Online 21 June 2014, p. 194-207

    Research output: Contribution to journalArticle

  69. Modeling and controlling clarifier–thickeners fed by suspensions with time-dependent properties

    Betancourt, F., Bürger, R., Stefan Diehl & Farås, S., 2014, In : Minerals Engineering. 62, p. 91-101

    Research output: Contribution to journalArticle

  70. 2013
  71. Accuracy in a finite volume godunov type method

    Bauer, M., P. Birken, Hannemann, V. & Oßwald, K., 2013, New Results in Numerical and Experimental Fluid Mechanics VIII: Contributions to the 17th STAB/DGLR Symposium Berlin, Germany 2010. Heller, G., Kreplin, H. -P., Nitzsche, W. & Peltzer, I. (eds.). Springer, Vol. 121. p. 387-394

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  72. A consistent modelling methodology for secondary settling tanks: A reliable numerical method.

    Bürger, R., Stefan Diehl, Farås, S., Nopens, I. & Torfs, E., 2013, In : Water Science and Technology. 68, 1, p. 192-208

    Research output: Contribution to journalArticle

  73. A Convergence Analysis of the Peaceman-Rachford Scheme for Semilinear Evolution Equations

    Eskil Hansen & Henningsson, E., 2013, In : SIAM Journal on Numerical Analysis. 51, 4, p. 1900-1910

    Research output: Contribution to journalArticle

  74. Control of an ideal activated sludge process in wastewater treatment via an ODE–PDE model

    Stefan Diehl & Farås, S., 2013, In : Journal of Process Control. 23, 3, p. 359-381

    Research output: Contribution to journalArticle

  75. Convexity-preserving flux identification for scalar conservation laws modelling sedimentation

    Burger, R. & Stefan Diehl, 2013, In : Inverse Problems. 29, 4, 045008.

    Research output: Contribution to journalArticle

  76. Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves

    Buffoni, B., Groves, M. D., Sun, S. M. & Erik Wahlén, 2013, In : Journal of Differential Equations. 254, 3, p. 1006-1096

    Research output: Contribution to journalArticle

  77. Fast solvers for thermal fluid structure interaction

    P. Birken, Gleim, T., Kuhl, D. & Meister, A., 2013, Computational Methods in Marine Engineering V - Proceedings of the 5th International Conference on Computational Methods in Marine Engineering, MARINE 2013. Brinkmann, B. & Wriggers, P. (eds.). p. 202-212 11 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  78. On the essential spectrum of magnetic Schrödinger operators in exterior domains

    Kachmar, A. & Mikael Persson Sundqvist, 2013, In : Arabic Journal of Mathematical Sciences. 19, 2, p. 217-222

    Research output: Contribution to journalArticle

  79. On the Microlocal Properties of the Range of Systems of Principal Type

    Nils Dencker & Wittsten, J., 2013, In : Communications in Partial Differential Equations. 38, 3, p. 410-454

    Research output: Contribution to journalArticle

  80. Poisson integrals for standard weighted Laplacians in the unit disc

    Anders Olofsson & Wittsten, J., 2013, In : Journal of the Mathematical Society of Japan. 65, 2, p. 447-486

    Research output: Contribution to journalArticle

  81. Rosenbrock time integration for unsteady flow simulations

    Blom, D. S., Bijl, H., P. Birken, Meister, A. & van Zuijlen, A., 2013, V International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2013. Idelsohn, S., Papradakis, M. & Schrefler, B. (eds.). p. 1-12 12 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  82. Solving nonlinear systems inside implicit time integration schemes for unsteady viscous flows

    P. Birken, 2013, Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws: Lectures Presented at a Workshop at the Mathematical Research Institute Oberwolfach, Germany, Jan 15 – 21, 2012. Ansorge, R., Bijl, H., Meister, A. & Sonar, T. (eds.). Springer, Vol. 120. (Notes on Numerical Fluid Mechanics and Multidisciplinary Design).

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  83. Towards improved 1-D settler modelling: calibration of the Bürger model and case study

    Torfs, E., Vlasschaert, P., Amerlink, Y., Bürger, R., Stefan Diehl, Farås, S. & Nopens, I., 2013, Proceedings of 86th Annual Water Environment Federation Technical Exhibition and Conference (WEFTEC 2013). 17 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  84. Towards improved 1-D settler modelling: impact on control strategies using the Benchmark Simulation Model

    Torfs, E., Maere, T., Bürger, R., Stefan Diehl, Farås, S. & Nopens, I., 2013, [Host publication title missing]. International Water Association (IWA), 4 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  85. 2012
  86. A reliable numerical method for secondary settling modelling

    Torfs, E., Bürger, R., Stefan Diehl, Farås, S. & Nopens, I., 2012, In : Communications in agricultural and applied biological sciences. 77, 1, p. 151-156

    Research output: Contribution to journalArticle

  87. A second-order positivity preserving scheme for semilinear parabolic problems

    Eskil Hansen, Kramer, F. & Ostermann, A., 2012, In : Applied Numerical Mathematics. 62, 10, p. 1428-1435

    Research output: Contribution to journalArticle

  88. Efficient Time Integration for Discontinuous Galerkin Methods for the Unsteady 3D Navier-Stokes Equations

    P. Birken, Gassner, G., Haas, M. & Munz, C-D., 2012, European Congress on Computational Methods and Applied Sciences and Engineering (ECCOMAS 2012). Eberhardsteiner, J. (ed.).

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  89. Experimental investigations of thermal fluid- structure interaction

    Weiland, M., Berth, M., P. Birken, Carstens, S. & Meister, A., 2012, Proceedings of the 1st International Conference on Thermo-Mechanically Graded Materials. p. 127-133 7 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  90. Fundamental nonlinearities of the reactor-settler interaction in the activated sludge process

    Stefan Diehl & Farås, S., 2012, In : Water Science and Technology. 66, 1, p. 28-35

    Research output: Contribution to journalArticle

  91. Numerical Methods for the Unsteady Compressible Navier-Stokes Equations

    P. Birken, 2012, University of Kassel. (Habilitation Thesis)

    Research output: Book/ReportBook

  92. Numerical Simulation of Thermal Fluid Structure Interaction using the Nonlinear Heat Equation

    P. Birken, Gleim, T., Kuhl, D. & Meister, A., 2012, Proceedings of the 1st International Conference on Thermo-Mechanically Graded Materials. Vol. m. p. 103-108 6 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  93. On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment

    Bürger, R., Stefan Diehl, Farås, S. & Nopens, I., 2012, In : Computers & Chemical Engineering. 41, p. 93-105

    Research output: Contribution to journalArticle

  94. On some microlocal properties of the range of a pseudo-differential operator of principal type.

    Wittsten, J., 2012, In : Analysis & PDE. 5, 3, p. 423-474

    Research output: Contribution to journalArticle

  95. On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type

    Ehrnstrom, M., Groves, M. D. & Erik Wahlén, 2012, In : Nonlinearity. 25, 10, p. 2903-2936

    Research output: Contribution to journalArticle

  96. Optimizing Runge-Kutta smoothers for unsteady flow problems

    P. Birken, 2012, In : ETNA. 39, p. 298-312 15 p.

    Research output: Contribution to journalArticle

  97. Shock-wave behaviour of sedimentation in wastewater treatment: a rich problem

    Stefan Diehl, 2012, Springer Proceedings in Mathematics. Åström, K., Persson, L-E. & Silvestrov, S. (eds.). Springer, Vol. 6. p. 175-214 40 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  98. 2011
  99. A consistent modelling methodology for secondary settling tanks in wastewater treatment

    Bürger, R., Stefan Diehl & Nopens, I., 2011, In : Water Research. 45, 6, p. 2247-2260

    Research output: Contribution to journalArticle

  100. Asymptotic Integration Of Second-Order Nonlinear Difference Equations

    Ehrnstroem, M., Tisdell, C. C. & Erik Wahlén, 2011, In : Glasgow Mathematical Journal. 53, p. 223-243

    Research output: Contribution to journalArticle

  101. Designing optimal smoothers for multigrid methods for unsteady flow problems

    P. Birken, 2011, 20th AIAA Computational Fluid Dynamics Conference 2011.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  102. Fundamental nonlinearities of the reactor-settler interaction in the activated sludge process

    Stefan Diehl & Farås, S., 2011, Proceedings of the 8th IWA Symposium on Systems Analysis and Integrated Assessment (WATERMATEX 2011). International Water Association (IWA), p. 256-263 8 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  103. Simulation of the secondary settling process with reliable numerical methods

    Bürger, R., Stefan Diehl, Farås, S. & Nopens, I., 2011, Proceedings of the 8th IWA Symposium on Systems Analysis and Integrated Assessment (WATERMATEX 2011). International Water Association (IWA), p. 21-28 8 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  104. Steady water waves with multiple critical layers

    Ehrnstroem, M., Escher, J. & Erik Wahlén, 2011, In : SIAM Journal on Mathematical Analysis. 43, 3, p. 1436-1456

    Research output: Contribution to journalArticle

  105. Strong diamagnetism form the ball in three dimensions

    Fournais, S. & Mikael Persson Sundqvist, 2011, In : Asymptotic Analysis. 72, 1-2, p. 77-123

    Research output: Contribution to journalArticle

  106. Superconductivity between HC2 and HC3

    Helffer, B., Fournais, S. & Mikael Persson Sundqvist, 2011, In : Journal of Spectral Theory. 1, 3, p. 273-298

    Research output: Contribution to journalArticle

  107. 2010
  108. Choosing norms in adaptive FSI calculations

    P. Birken, Quint, K., Hartmann, S. & Meister, A., 2010 Dec 1, PAMM. Vol. 10. p. 555-556 2 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  109. A Time-Adaptive Fluid-Structure Interaction Method for Thermal Coupling

    P. Birken, Quint, K. J., Hartmann, S. & Meister, A., 2010, In : Comp. Vis. in Science. 13, 7, p. 331-340 10 p.

    Research output: Contribution to journalArticle

  110. Dimension splitting for quasilinear parabolic equations

    Eskil Hansen & Ostermann, A., 2010, In : IMA Journal of Numerical Analysis. 30, 3, p. 857-869

    Research output: Contribution to journalArticle

  111. On Nonlinear Preconditioners in Newton-Krylov-Methods for Unsteady Flows

    P. Birken & Jameson, A., 2010, In : Int. J. Num. Meth. Fluids. 62, p. 565-573 9 p.

    Research output: Contribution to journalArticle

  112. On some microlocal properties of the range of a pseudo-differential operator of principal type

    Wittsten, J., 2010

    Research output: ThesisDoctoral Thesis (monograph)

  113. On the existence and conditional energetic stability of solitary water waves with weak surface tension

    Groves, M. D. & Erik Wahlén, 2010, In : Comptes Rendus Mathématique. 348, 7-8, p. 397-402

    Research output: Contribution to journalArticle

  114. Unconditional convergence of DIRK schemes applied to dissipative evolution equations

    Eskil Hansen & Ostermann, A., 2010, In : Applied Numerical Mathematics. 60, 1-2, p. 55-63

    Research output: Contribution to journalArticle

  115. 2009
  116. Blending Dual Time Stepping and Newton-Krylov Methods for Unsteady Flows

    P. Birken & Jameson, A., 2009 Dec 1, In : PAMM. 9, 1, p. 597-598 2 p.

    Research output: Contribution to journalArticle

  117. Dimension splitting for time dependent operators

    Eskil Hansen & Ostermann, A., 2009, In : Discrete and Continuous Dynamical Systems. Series A. 2009 suppl., p. 322-332

    Research output: Contribution to journalArticle

  118. Exponential splitting for unbounded operators

    Eskil Hansen & Ostermann, A., 2009, In : Mathematics of Computation. 78, 267, p. 1485-1496

    Research output: Contribution to journalArticle

  119. High order splitting methods for analytic semigroups exist

    Eskil Hansen & Ostermann, A., 2009, In : BIT Numerical Mathematics. 49, 3, p. 527-542

    Research output: Contribution to journalArticle

  120. Nonlinear iterative solvers for unsteady Navier-Stokes equations

    P. Birken & Jameson, A., 2009, Proceedings of Hyp2008 - the twelfth International Conference on Hyperbolic Problems. AMS, p. 429-438 10 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  121. On Coupling Schemes for Heat Transfer in FSI Applications

    P. Birken, Quint, K. J., Hartmann, S. & Meister, A., 2009, Fluid-Structure Interaction. Theory, Numerics and Applications. Kassel University Press GmbH, p. 21-30 10 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  122. On higher order time integration for thermal coupling

    P. Birken, Hartmann, S., Meister, A. & Quint, K., 2009, Numerical Analysis and Applied Mathematics, International Conference on Numerical Analysis and Applied Mathematics 2009. Simos, T., Psihoyios, G. & Tsitouras, C. (eds.). AIP Conference Proceedings, Vol. 1168. p. 1184-1187 4 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  123. Steady water waves with a critical layer

    Erik Wahlén, 2009, In : Journal of Differential Equations. 246, 6, p. 2468-2483

    Research output: Contribution to journalArticle

  124. 2008
  125. A regulator for continuous sedimentation in ideal clarifier–thickener units

    Stefan Diehl, 2008, In : Journal of Engineering Mathematics. 60, 3-4, p. 265-291

    Research output: Contribution to journalArticle

  126. Dimension splitting for evolution equations

    Eskil Hansen & Ostermann, A., 2008, In : Numerische Mathematik. 108, 4, p. 557-570

    Research output: Contribution to journalArticle

  127. Finite element Runge-Kutta discretizations of porous medium type equations

    Eskil Hansen & Ostermann, A., 2008, In : SIAM Journal on Numerical Analysis. 46, 4, p. 1769-1779

    Research output: Contribution to journalArticle

  128. On the fluid motion in standing waves

    Ehrnström, M. & Erik Wahlén, 2008, In : Journal of Nonlinear Mathematical Physics. 15, suppl 2, p. 74-86

    Research output: Contribution to journalArticle

  129. On the Solvability of Systems of Pseudodifferential Operators

    Nils Dencker, 2008, (Unpublished) 38 p.

    Research output: Other contributionMiscellaneous

  130. Preconditioner Updates applied to CFD model problems

    P. Birken, Duintjer Tebbens, J., Meister, A. & Tuma, M., 2008, In : Appl. Num. Math.. 58, p. 1628-1641 14 p.

    Research output: Contribution to journalArticle

  131. Rotational effects in water waves

    Erik Wahlén, 2008, 105 p.

    Research output: ThesisDoctoral Thesis (compilation)

  132. Small-amplitude Stokes and solitary gravity water waves with an arbitrary distribution of vorticity

    Groves, M. D. & Erik Wahlén, 2008, In : Physica D: Nonlinear Phenomena. 237, 10-12, p. 1530-1538

    Research output: Contribution to journalArticle

  133. The Pseudospectrum of Systems of Semiclassical Operators

    Nils Dencker, 2008, In : Analysis & PDE. 1, 3, 51 p.

    Research output: Contribution to journalArticle

  134. The solids-flux theory - Confirmation and extension by using partial differential equations.

    Stefan Diehl, 2008, In : Water Research. 42, 20, p. 4976-4988

    Research output: Contribution to journalArticle

  135. 2007
  136. A Hamiltonian formulation of water waves with constant vorticity

    Erik Wahlén, 2007, In : Letters in Mathematical Physics. 79, 3, p. 303-315

    Research output: Contribution to journalArticle

  137. Symmetry of steady periodic gravity water waves with vorticity

    Constantin, A., Ehrnström, M. & Erik Wahlén, 2007, In : Duke Mathematical Journal. 140, 3, p. 591-603

    Research output: Contribution to journalArticle

  138. The Variational Origin of Motion by Gaussian Curvature

    Niels Christian Overgaard & Solem, J. E., 2007, Proc. First International Conference on Scale Space Methods and Variational Methods in Computer Vision (SSVM). Vol. 4485. p. 430-441

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  139. Updating preconditioners for permuted non-symmetric linear systems

    P. Birken, Duintjer Tebbens, J., Meister, A. & Tuma, M., 2007, In : PAMM. 7, 1, p. 1022101-1022102 2 p.

    Research output: Contribution to journalArticle

  140. 2006
  141. On the blow-up of solutions to a nonlinear dispersive rod equation

    Erik Wahlén, 2006, In : Journal of Mathematical Analysis and Applications. 323, 2, p. 1318-1324

    Research output: Contribution to journalArticle

  142. On the solvability of pseudodifferential operators

    Nils Dencker, 2006, Seminaire: Equations aux Dérivées Partielles. 2005--2006. École Polytechnique, Centre de Mathématiques, Palaiseau, France, Vol. 1. 29 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  143. Operating charts for continuous sedimentation III: control of step inputs

    Stefan Diehl, 2006, In : Journal of Engineering Mathematics. 54, 3, p. 225-259

    Research output: Contribution to journalArticle

  144. Runge-Kutta time discretizations of nonlinear dissipative evolution equations

    Eskil Hansen, 2006, In : Mathematics of Computation. 75, 254, p. 631-640

    Research output: Contribution to journalArticle

  145. Steady periodic capillary-gravity waves with vorticity

    Erik Wahlén, 2006, In : SIAM Journal on Mathematical Analysis. 38, 3, p. 921-943

    Research output: Contribution to journalArticle

  146. Steady periodic capillary waves with vorticity

    Erik Wahlén, 2006, In : Arkiv för matematik. 44, 2, p. 367-387

    Research output: Contribution to journalArticle

  147. The interaction of peakons and antipeakons

    Erik Wahlén, 2006, In : Dynamics of Continuous, Discrete and Impulsive Systems. 13, 3-4, p. 465-472

    Research output: Contribution to journalArticle

  148. The resolution of the Nirenberg-Treves conjecture

    Nils Dencker, 2006, In : Annals of Mathematics. 163, 2, p. 405-444

    Research output: Contribution to journalArticle

  149. 2005
  150. On Low Mach Number Preconditioning of Finite Volume Schemes

    P. Birken & Meister, A., 2005 Dec 1, PAMM. Vol. 5. p. 759-760 2 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  151. A blow-up result for the periodic Camassa-Hohn equation

    Erik Wahlén, 2005, In : Archiv der Mathematik. 84, 4, p. 334-340

    Research output: Contribution to journalArticle

  152. A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media

    Andersson, F. & Anders Holst, 2005, In : Journal of Fourier Analysis and Applications. 11, 4, p. 471-487

    Research output: Contribution to journalArticle

  153. A Geometric Formulation of Gradient Descent for Variational Problems with Moving Surfaces

    Solem, J. E. & Niels Christian Overgaard, 2005, Proc. 5th International Conference on Scale Space and PDE Methods in Computer Vision. p. 419-430

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  154. A Gradient Descent Procedure for Variational Dynamic Surface Problems with Constraints

    Solem, J. E. & Niels Christian Overgaard, 2005, Proc. IEEE Workshop on Variational, Geometric and Level Set Methods in Computer Vision. Vol. 3752. p. 332-343

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  155. An Analysis of Variational Alignment of Curves in Images

    Niels Christian Overgaard & Solem, J. E., 2005, Proc. 5th International Conference on Scale Space and PDE Methods in Computer Vision. p. 480-491

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  156. A note on steady gravity waves with vorticity

    Erik Wahlén, 2005, In : International Mathematics Research Notices. 2005, 7, p. 389-396

    Research output: Contribution to journalArticle

  157. Modeling of the heat distribution in the intervertebral disk.

    Persson, J. K., Eskil Hansen, Lars Lidgren & McCarthy, I., 2005, In : Ultrasound in Medicine and Biology. 31, 5, p. 709-717

    Research output: Contribution to journalArticle

  158. Numerical Simulation of Flows at Low Mach Numbers with Heat Sources

    P. Birken, 2005, Shaker Verlag.

    Research output: ThesisDoctoral Thesis (monograph)

  159. On some Nonlinear Aspects of Wave Motion

    Erik Wahlén, 2005, 65 p.

    Research output: ThesisLicentiate Thesis

  160. Operating charts for continuous sedimentation II: Step responses

    Stefan Diehl, 2005, In : Journal of Engineering Mathematics. 53, 2, p. 139-185

    Research output: Contribution to journalArticle

  161. Region-Based Variational Problems and Normal Alignment - Geometric Interpretation of Descent PDEs

    Solem, J. E. & Niels Christian Overgaard, 2005, Proc. International Conference on PDE-Based Image Processing and Related Inverse Problems.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  162. Stability of Preconditioned Finite Volume Schemes at Low Mach Numbers

    P. Birken & Meister, A., 2005, In : BIT. 45, 3, p. 463-480 18 p.

    Research output: Contribution to journalArticle

  163. 2004
  164. Intertwining operators in inverse scattering

    Anders Holst & Anders Melin, 2004, New Analytic and Geometric Methods in Inverse Problems: Lectures Given at the Ems Summer School and Conference Held in Edinburgh, Scotland 2000. Bingham, K., Kurylev, Y. V. & Somersalo, E. (eds.). Springer, p. 51-92 41 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  165. On steady gravity waves with vorticity

    Erik Wahlén, 2004, In : International Mathematics Research Notices. 54, p. 2881-2896

    Research output: Contribution to journalArticle

  166. Positive solutions of second-order differential equations

    Erik Wahlén, 2004, In : Nonlinear Analysis: Theory, Methods & Applications. 58, 3-4, p. 359-366

    Research output: Contribution to journalArticle

  167. Pseudospectra of semiclassical (pseudo-) differential operators

    Nils Dencker, Sjostrand, J. & Zworski, M., 2004, In : Communications on Pure and Applied Mathematics. 57, 3, p. 384-415

    Research output: Contribution to journalArticle

  168. The solvability of pseudo-differential operators

    Nils Dencker, 2004, [Host publication title missing]. Colombini, F. & Pernazza, L. (eds.). Pubbl. Cent. Ric. Mat. Ennio Giorgi, Vol. 1. p. 175-200 26 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  169. 2003
  170. The proof of the Nirenberg-Treves conjecture

    Nils Dencker, 2003, Journées "Équations aux Dérivées Partielles". Univ. Nantes, Nantes, France, 25 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  171. The question of solvability

    Nils Dencker, 2003, Graduate Series in Analysis. Colombini, F. & Nishitani, T. (eds.). International Press, Somerville, MA, USA, p. 159-184 26 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  172. 2002
  173. Heat transfer augmentation in an oscillating flow

    Anders Holst, Lundgren, E. & Marksten, U., 2002, American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD. American Society Of Mechanical Engineers (ASME), Vol. 372. p. 89-93

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  174. Properties of the Pushforward Map on Test Functions, Measures and Distributions

    Niels Christian Overgaard, 2002, Niels Chr. Overgaard, Centre of Mathematical Sciences, Dept. of Mathematics,. 115 p.

    Research output: ThesisDoctoral Thesis (monograph)

  175. 2001
  176. Operating charts for continuous sedimentation I: Control of steady states

    Stefan Diehl, 2001, In : J. Eng. Math.. 41, 2-3, p. 117-144

    Research output: Contribution to journalArticle

  177. 2000
  178. Edge resonance in an elastic semi-infinite cylinder

    Anders Holst & Vassiliev, D. G., 2000, Applicable Analysis, 74, 3-4, p. 479-495.

    Research output: Contribution to specialist publication or newspaperSpecialist publication article

  179. On bondary conditions and solutions for ideal clarifier-thickener units

    Stefan Diehl, 2000, In : Chem. Eng. J.. 80, 1-3, p. 119-133

    Research output: Contribution to journalArticle

  180. 1998
  181. A model of the settler coupled to the biological reactor

    Stefan Diehl & Ulf Jeppsson, 1998, In : Wat. Res.. 32, 2, p. 331-342

    Research output: Contribution to journalArticle

  182. 1997
  183. Continuous sedimentation of multi-component particles

    Stefan Diehl, 1997, In : Math. Methods Appl. Sci.. 20, 15, p. 1345-1364

    Research output: Contribution to journalArticle

  184. Dynamic and Steady-State Behavior of Continuous Sedimentation

    Stefan Diehl, 1997, In : SIAM Journal on Applied Mathematics. 57, 4, p. 991-1018

    Research output: Contribution to journalArticle

  185. 1996
  186. An evaluation of a dynamic model of the secondary clarifier

    Ulf Jeppsson & Stefan Diehl, 1996, In : Water Science and Technology. 34, 5, p. 19-26

    Research output: Contribution to journalArticle

  187. Appendix A. Spectral Problem on the Half-line

    Anders Holst, 1996, The Asymptotic Distribution of Eigenvalues of Partial Differential Operators. Safarov, Y. & Vassiliev, D. (eds.). Providence: American Mathematical Society (AMS), p. 251-296 46 p. (Translation of Mathematical Monographs; vol. 155).

    Research output: Chapter in Book/Report/Conference proceedingBook chapter

  188. Scalar conservation laws with discontinuous flux function: II. On the stability of the viscous profiles.

    Stefan Diehl & Wallin, N-O., 1996, In : Comm. Math. Phys.. 176, 1, p. 45-71

    Research output: Contribution to journalArticle

  189. 1995
  190. On scalar conservation laws with point source and discontinuous flux function

    Stefan Diehl, 1995, In : SIAM Journal on Mathematical Analysis. 26, 6, p. 1425-1451

    Research output: Contribution to journalArticle

  191. Validation of a robust dynamic model of continuous sedimentation

    Ulf Jeppsson & Stefan Diehl, 1995, Mededelingen - Faculteit landbouwkundige en toegepaste biologische wetenschappen. Gent Univ., Vol. 60. p. 2403-2414 12 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

  192. 1994
  193. Approximation of Schrödinger Operators and Scattering Data Using Multiresolution Analysis

    Anders Holst, 1994 May, 74 p.

    Research output: ThesisDoctoral Thesis (monograph)

  194. 1990
  195. Analytical and numerical description of the settling process in the activated sludge operation

    Stefan Diehl, Gunnar Sparr & Gustaf Olsson, 1990, Instrumentation, control, and automation of water and wastewater treatment and transport systems : proceedings of the 5th IAWPRC Workshop held in Yokohama and Kyoto, Japan, 26 July-3 August 1990. Briggs, R. (ed.). Pergamon, p. 471-478 8 p.

    Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding