Numerical Analysis

Organisational unit: Research group

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  1. 2020
  2. Quasi-Newton waveform iteration for partitioned surface-coupled multiphysics applications

    Benjamin Rüth, Benjamin Uekermann, Miriam Mehl, Philipp Birken, Azahar Monge & Hans Joachim Bungartz, 2020 Jun 2, In : International Journal for Numerical Methods in Engineering.

    Research output: Contribution to journalArticle

  3. Accurate solution-adaptive finite difference schemes for coarse and fine grids

    Viktor Linders, Mark H. Carpenter & Jan Nordström, 2020 Jun, In : Journal of Computational Physics. 410, 109393.

    Research output: Contribution to journalArticle

  4. A software platform for adaptive high order multistep methods

    Carmen Arévalo, Erik Jonsson-Glans, Josefine Olander, Monica Selva Soto & Gustaf Söderlind, 2020 Apr, In : ACM Transactions on Mathematical Software. 46, 1, 2.

    Research output: Contribution to journalArticle

  5. Flotation with sedimentation: Steady states and numerical simulation of transient operation

    Raimund Bürger, Stefan Diehl, María del Carmen Martí & Yolanda Vásquez, 2020, In : Minerals Engineering. 157, 106419.

    Research output: Contribution to journalArticle

  6. Local error estimation and step size control in adaptive linear multistep methods

    Carmen Arévalo, Gustaf Söderlind, Yiannis Hadjimichael & Imre Fekete, 2020, In : Numerical Algorithms.

    Research output: Contribution to journalArticle

  7. On the convergence rate of the dirichlet-neumann iteration for coupled poisson problems on unstructured grids

    Morgan Görtz & Philipp Birken, 2020, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, FVCA 2020. Klöfkorn, R., Keilegavlen, E., Radu, F. A. & Fuhrmann, J. (eds.). Springer Gabler, p. 355-363 9 p. (Springer Proceedings in Mathematics and Statistics; vol. 323).

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

  8. 2019
  9. A system of conservation laws with discontinuous flux modelling flotation with sedimentation

    Raimund Bürger, Stefan Diehl & María Del Carmen Martí, 2019 Oct 11, In : IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 84, 5, p. 930-973 44 p.

    Research output: Contribution to journalArticle

  10. A variational approach to splitting schemes, with applications to domain decomposition integrators

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

    Research output: Contribution to journalArticle

  11. A multirate Neumann-Neumann waveform relaxation method for heterogeneous coupled heat equations

    Azahar Monge & Philipp Birken, 2019, In : SIAM Journal on Scientific Computing. 41, 5, p. S86-S105

    Research output: Contribution to journalArticle

  12. A polynomial formulation of adaptive strong stability preserving multistep methods

    Fatemeh Mohammadi, Carmen Arevalo & Claus Fuhrer, 2019, In : SIAM Journal on Numerical Analysis. 57, 1, p. 27-43 17 p.

    Research output: Contribution to journalArticle

  13. Preconditioned Smoothers for the Full Approximation Scheme for the RANS Equations

    Philipp Birken, Jonathan Bull & Antony Jameson, 2019, In : Journal of Scientific Computing. 78, 2, p. 995-1022

    Research output: Contribution to journalArticle

  14. 2018
  15. Estimating the hindered-settling flux function from a batch test in a cone

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

    Research output: Contribution to journalArticle

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

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

    Research output: Contribution to journalArticle

  17. Construction of Adaptive Multistep Methods for Problems with Discontinuities, Invariants, and Constraints

    Fatemeh Mohammadi, 2018 Sep, Lund: Lund University, Faculty of Science, Centre for Mathematical Sciences. 162 p.

    Research output: ThesisDoctoral Thesis (compilation)

  18. Partitioned methods for time-dependent thermal fluid-structure interaction

    Azahar Monge, 2018 Sep, Lund: Lund University, Faculty of Science, Centre for Mathematical Sciences. 196 p.

    Research output: ThesisDoctoral Thesis (compilation)

  19. On stability and conservation properties of (S)epirk integrators in the context of discretized pdes

    Philipp Birken, Andreas Meister, Sigrun Ortleb & Veronika Straub, 2018 Jan 1, Theory, Numerics and Applications of Hyperbolic Problems II. Springer, Vol. 237. p. 617-629 13 p.

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

  20. A random sampling method for a family of Temple-class systems of conservation laws

    Fernando Betancourt, Raimund Bürger, Christophe Chalons, Stefan Diehl & Sebastian Farås, 2018 Jan, In : Numerische Mathematik. 138, 1, p. 37-73

    Research output: Contribution to journalArticle

  21. A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation

    Raimund Bürger, Stefan Diehl & Camilo Mejías, 2018, In : ESAIM: Mathematical Modelling and Numerical Analysis. 52, 2, p. 365-392 28 p.

    Research output: Contribution to journalArticle

  22. Analysis of photobioreactors in series

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

    Research output: Contribution to journalArticle

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

    Raimund Burger, Stefan Diehl, Julio Careaga, Camilo Mejías & Ricardo Ruiz Baier, 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

  24. On the convergence rate of the Dirichlet-Neumann iteration for unsteady thermal fluid structure interaction

    Azahar Monge & Philipp Birken, 2018, In : Computational Mechanics. 62, 3, p. 525-541

    Research output: Contribution to journalArticle

  25. On the zero-stability of multistep methods on smooth nonuniform grids

    Gustaf Söderlind, Imre Fekete & István Faragó, 2018, In : BIT Numerical Mathematics. 58, 4, p. 1125-1143

    Research output: Contribution to journalArticle

  26. 2017
  27. 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. (Proceedings in applied mathematics and mechanics).

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

  28. Runge-Kutta Restarters for Multistep Methods in Presence of Frequent Discontinuities

    Fatemeh Mohammadi, Carmen Arévalo & Claus Führer, 2017 May 15, In : Journal of Computational and Applied Mathematics. 316, p. 287-297

    Research output: Contribution to journalArticle

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

    Elena Torfs, Sophie Balemans, Florent Locatelli, Stefan Diehl, Raimund Bürger, Julien Laurent, Pierre François & Ingmar Nopens, 2017 Mar 1, In : Water Research. 110, p. 38-47 10 p.

    Research output: Contribution to journalArticle

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

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

    Research output: Contribution to journalArticle

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

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

    Research output: Contribution to journalArticle

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

    Tobias Gleim, Philipp Birken, Matthias Weiland, Detlef Kuhl, Andreas Meister & Olaf Wuensch, 2017, International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2016). American Institute of Physics (AIP), 4 p. 410004. (AIP Conference Proceedings; vol. 1863).

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

  33. GRID-INDEPENDENT CONSTRUCTION OF MULTISTEP METHODS

    Carmen Arévalo & Gustaf Söderlind, 2017, In : Journal of Computational Mathematics. 35, p. 672-692

    Research output: Contribution to journalArticle

  34. Numerical methods for unsteady thermal fluid structure interaction

    Philipp Birken & Azahar Monge, 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

  35. 2016
  36. A comparison of Rosenbrock and ESDIRK methods combined with iterative solvers for unsteady compressible flows

    David S. Blom, Philipp Birken, Hester Bijl, Fleur Kessels, Andreas Meister & Alexander H. van Zuijlen, 2016 Dec, In : Advances in Computational Mathematics. 42, 6, p. 1401–1426 26 p.

    Research output: Contribution to journalArticle

  37. Scientic Computing with Python 3

    Claus Führer, Olivier Verdier & Jan Erik Solem, 2016 Dec, Packt Publishing. 315 p.

    Research output: Book/ReportBook

  38. Convergence Analysis of the Dirichlet-Neumann Iteration for Finite Element Discretizations

    Azahar Monge & Philipp Birken, 2016 Oct 25, In : PAMM - Proceedings in Applied Mathematics and Mechanics. 16, p. 733-734 2 p.

    Research output: Contribution to journalArticle

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

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

    Research output: Contribution to journalArticle

  40. Structural topology optimization of multibody systems

    Toheed Ghandriz, Claus Führer & Hilding Elmqvist, 2016 Sep 23, In : Multibody System Dynamics. 39, 1, p. 135–148 14 p.

    Research output: Contribution to journalArticle

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

    Raimund Bürger, Julio Careaga, Stefan Diehl, Camilo Mejías, Ingmar Nopens, Elena Torfs & Peter A. Vanrolleghem, 2016 Sep 2, In : Computers and Chemical Engineering. 92, p. 216-229 14 p.

    Research output: Contribution to journalArticle

  42. Efficient simulations of tubulin-driven axonal growth

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

    Research output: Contribution to journalArticle

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

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

    Research output: Contribution to journalArticle

  44. A Note on Terminology in Multigrid Methods

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

    Research output: Contribution to journalArticle

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

    Jesús Zambrano, Bengt Carlsson, Stefan Diehl & Emma Nehrenheim, 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

  46. A STUDY of multigrid smoothers used in compressible CFD based on the convection diffusion equation

    Philipp Birken, Jonathan Bull & Antony Jameson, 2016, ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. National Technical University of Athens, Vol. 2. p. 2648-2663 16 p.

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

  47. Comparative Study of Teaching Computational Mathematics in Two Different Learning Environments

    Dara Maghdid, 2016, Lund University / Centre for Mathematical Sciences /LTH. 123 p.

    Research output: ThesisDoctoral Thesis (monograph)

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

    Elena Torfs, Florent Locatelli, Sophie Balemans, Julien Laurant, P.A. Vanrolleghem, Raimund Bürger, Stefan Diehl, Pierre François, Robert Mosse & Ingmar Nopens, 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

  49. Efficient Predictor for Co-Simulation with Multistep Sub-System Solvers

    Christian Andersson, Claus Führer & Johan Åkesson, 2016, Centre for Mathematical Sciences, Lund University. 13 p. (Technical Report in Mathematical Sciences; vol. 2016, no. 1)

    Research output: Book/ReportReport

  50. High-order splitting schemes for semilinear evolution equations

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

    Research output: Contribution to journalArticle

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

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

    Research output: Contribution to journalArticle

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