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 Approach to Solitary Gravity–Capillary Interfacial Waves with Infinite Depth

    Breit, D. & E. Wahlén, 2019, In : Journal of Nonlinear Science. 29, 6, p. 2601-2655

    Research output: Contribution to journalArticle

  5. 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

  6. Perfect partial reconstructions for multiple simultaneous sources

    Wittsten, J., Andersson, F., Robertsson, J. & Amundsen, L., 2019, In : Geophysical Prospecting. 67, 3, p. 1486-1497

    Research output: Contribution to journalArticle

  7. 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

  8. 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

  9. 2018
  10. 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

  11. 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

  12. 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

  13. 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

  14. Analysis of photobioreactors in series

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

    Research output: Contribution to journalArticle

  15. 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

  16. 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)

  17. 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

  18. 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

  19. 2017
  20. 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

  21. 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

  22. 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

  23. 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

  24. 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

  25. 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

  26. 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

  27. 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

  28. 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

  29. 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

  30. Operators of subprincipal type

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

    Research output: Contribution to journalArticle

  31. 2016
  32. 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

  33. 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

  34. 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

  35. 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

  36. 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

  37. 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

  38. 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

  39. 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

  40. 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

  41. 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

  42. 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

  43. 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

  44. 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

  45. 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

  46. 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

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