Axel Klar

Publication Activity (10 Years)

Years Active: 1995-2025
Publications (10 Years): 23

Top Topics

Dynamical Systems

Lagrangian Method

Top Venues

SIAM J. Appl. Math.

Multiscale Model. Simul.

J. Comput. Appl. Math.

Publications

Anna Daniel Fome, Wolfgang Bock, Axel Klar
Analysis of a competitive respiratory disease system with quarantine: Epidemic thresholds and cross-immunity effects. Appl. Math. Comput. 485 (2025)
Sudarshan Tiwari, Axel Klar
A mesh-free particle method for continuum modelling of granular flow. J. Comput. Appl. Math. 438 (2024)
Raul Borsche, Axel Klar
A Hierarchy of Kinetic Discrete-Velocity Models for Traffic Flow Derived from a Nonlocal Prigogine-Herman Model. SIAM J. Appl. Math. 84 (1) (2024)
Raul Borsche, Axel Klar
A hierarchy of kinetic discrete-velocity models for traffic flow derived from a non-local Prigogine-Herman model. CoRR (2023)
Sudarshan Tiwari, Axel Klar, Giovanni Russo
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries. J. Comput. Phys. 458 (2022)
Sudarshan Tiwari, Axel Klar
A mesh-free particle method for continuum modeling of granular flow. CoRR (2022)
Sudarshan Tiwari, Axel Klar, Giovanni Russo
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries. CoRR (2021)
Sudarshan Tiwari, Axel Klar, Giovanni Russo
Modeling and simulations of moving droplet in a Rarefied gas. CoRR (2021)
Markus Rein, Jan Mohring, Tobias Damm, Axel Klar
Model order reduction of hyperbolic systems focusing on district heating networks. J. Frankl. Inst. 358 (15) (2021)
Raul Borsche, Axel Klar
A kinetic traffic network model and its macroscopic limit: diverging lanes. CoRR (2020)
Gregor Corbin, Christian Engwer, Axel Klar, Juanjo Nieto, Juan Soler, Christina Surulescu, Michael Wenske
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis. CoRR (2020)
Raul Borsche, Axel Klar
A kinetic traffic network model and its macroscopic limit: merging lanes. CoRR (2020)
Axel Klar, Sudarshan Tiwari
A Multiscale Particle Method for Mean Field Equations: The General Case. Multiscale Model. Simul. 17 (1) (2019)
Laura Müller, Axel Klar, Florian Schneider
A numerical comparison of the method of moments for the population balance equation. Math. Comput. Simul. 165 (2019)
Raul Borsche, Axel Klar
A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow. SIAM J. Appl. Math. 78 (5) (2018)
Raul Borsche, Axel Klar
Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation. SIAM J. Sci. Comput. 40 (3) (2018)
Raul Borsche, Axel Klar, C. Nessler, A. Roth, Oliver Tse
A Retarded Mean-Field Approach for Interacting Fiber Structures. Multiscale Model. Simul. 15 (3) (2017)
Axel Klar, Lisa Kreusser, Oliver Tse
Trend to Equilibrium for a Delay Vlasov-Fokker-Planck Equation and Explicit Decay Estimates. SIAM J. Math. Anal. 49 (4) (2017)
Raul Borsche, Axel Klar, T. N. Ha Pham
Nonlinear flux-limited models for chemotaxis on networks. Networks Heterog. Media 12 (3) (2017)
Raul Borsche, Axel Klar, Anne Meurer, Oliver Tse
Mean field models for interacting ellipsoidal particles. Comput. Math. Appl. 72 (3) (2016)
Juliane Ritter, Axel Klar, Florian Schneider
Partial-moment minimum-entropy models for kinetic chemotaxis equations in one and two dimensions. J. Comput. Appl. Math. 306 (2016)
Sudarshan Tiwari, Axel Klar, Steffen Hardt
Numerical simulation of wetting phenomena by a meshfree particle method. J. Comput. Appl. Math. 292 (2016)
Samir Shrestha, Sudarshan Tiwari, Axel Klar, Steffen Hardt
Numerical simulation of a moving rigid body in a rarefied gas. J. Comput. Phys. 292 (2015)
Florian Schneider, Graham W. Alldredge, Martin Frank, Axel Klar
Higher Order Mixed-Moment Approximations for the Fokker-Planck Equation in One Space Dimension. SIAM J. Appl. Math. 74 (4) (2014)
Axel Klar, Sudarshan Tiwari
A Multiscale Meshfree Method for Macroscopic Approximations of Interacting Particle Systems. Multiscale Model. Simul. 12 (3) (2014)
Luis L. Bonilla, Axel Klar, Stephan Martin
Higher-Order Averaging of Fokker-Planck Equations for Nonlinear Fiber Lay-Down Processes. SIAM J. Appl. Math. 74 (2) (2014)
A. Roth, Axel Klar, Bernd Simeon, Evgeniy Zharovsky
A Semi-Lagrangian Method for 3-D Fokker Planck Equations for Stochastic Dynamical Systems on the Sphere. J. Sci. Comput. 61 (3) (2014)
Simone Göttlich, Axel Klar, Patrick Schindler
Discontinuous Conservation Laws for Production Networks with Finite Buffers. SIAM J. Appl. Math. 73 (3) (2013)
Raul Borsche, Mark Kimathi, Axel Klar
A class of multi-phase traffic theories for microscopic, kinetic and continuum traffic models. Comput. Math. Appl. 64 (9) (2012)
Anamika Pandey, Axel Klar, Sudarshan Tiwari
Meshfree method for fluctuating hydrodynamics. Math. Comput. Simul. 82 (11) (2012)
Luis L. Bonilla, Axel Klar, Stephan Martin
Higher Order Averaging of Linear Fokker-Planck Equations with Periodic Forcing. SIAM J. Appl. Math. 72 (4) (2012)
Axel Klar, Philip Reuterswärd, Mohammed Seaïd
A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics. J. Sci. Comput. 38 (3) (2009)
Sudarshan Tiwari, Axel Klar, Steffen Hardt
A particle-particle hybrid method for kinetic and continuum equations. J. Comput. Phys. 228 (18) (2009)
Guido Thömmes, Jürgen Becker, Michael Junk, A. K. Vaikuntam, Dirk Kehrwald, Axel Klar, K. Steiner, Andreas Wiegmann
A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method. J. Comput. Phys. 228 (4) (2009)
Martin Grothaus, Axel Klar
Ergodicity and Rate of Convergence for a Nonsectorial Fiber Lay-Down Process. SIAM J. Math. Anal. 40 (3) (2008)
Mapundi K. Banda, Axel Klar, Lorenzo Pareschi, Mohammed Seaïd
Lattice-Boltzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations. Math. Comput. 77 (262) (2008)
Armin Fügenschuh, Simone Göttlich, Michael Herty, Axel Klar, Alexander Martin
A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations. SIAM J. Sci. Comput. 30 (3) (2008)
Martin Frank, Axel Klar, Edward W. Larsen, Shugo Yasuda
approximation to the equations of radiative transfer. J. Comput. Phys. 226 (2) (2007)
Pierre Degond, Simone Göttlich, Michael Herty, Axel Klar
A Network Model for Supply Chains with Multiple Policies. Multiscale Model. Simul. 6 (3) (2007)
T. Götz, Axel Klar, Nicole Marheineke, Raimund Wegener
A Stochastic Model and Associated Fokker-Planck Equation for the Fiber Lay-Down Process in Nonwoven Production Processes. SIAM J. Appl. Math. 67 (6) (2007)
Mapundi K. Banda, Axel Klar, Mohammed Seaïd
A lattice-Boltzmann relaxation scheme for coupled convection-radiation systems. J. Comput. Phys. 226 (2) (2007)
Michael Herty, Axel Klar, A. K. Singh, Peter Spellucci
Smoothed penalty algorithms for optimization of nonlinear models. Comput. Optim. Appl. 37 (2) (2007)
Luis L. Bonilla, T. Götz, Axel Klar, Nicole Marheineke, Raimund Wegener
Hydrodynamic Limit of a Fokker--Planck Equation Describing Fiber Lay-Down Processes. SIAM J. Appl. Math. 68 (3) (2007)
Martin Frank, Hartmut Hensel, Axel Klar
Toward Fast and Accurate Deterministic Methods for Dose Calculation in Electron Radiotherapy. IMECS (2007)
Michael Herty, Axel Klar, Benedetto Piccoli
Existence of Solutions for Supply Chain Models Based on Partial Differential Equations. SIAM J. Math. Anal. 39 (1) (2007)
Martin Frank, Hartmut Hensel, Axel Klar
A Fast and Accurate Moment Method for the Fokker-Planck Equation and Applications to Electron Radiotherapy. SIAM J. Appl. Math. 67 (2) (2007)
Mapundi K. Banda, Michael Herty, Axel Klar
Coupling conditions for gas networks governed by the isothermal Euler equations. Networks Heterog. Media 1 (2) (2006)
Martin Frank, Bruno Dubroca, Axel Klar
Partial moment entropy approximation to radiative heat transfer. J. Comput. Phys. 218 (1) (2006)
Claus Kirchner, Michael Herty, Simone Göttlich, Axel Klar
Optimal control for continuous supply network models. Networks Heterog. Media 1 (4) (2006)
Armin Fügenschuh, Michael Herty, Axel Klar, Alexander Martin
Combinatorial and Continuous Models for the Optimization of Traffic Flows on Networks. SIAM J. Optim. 16 (4) (2006)
Mapundi K. Banda, W. A. Yong, Axel Klar
A Stability Notion for Lattice Boltzmann Equations. SIAM J. Sci. Comput. 27 (6) (2006)
Ioan Teleaga, Mohammed Seaïd, Ingenuin Gasser, Axel Klar, Jens Struckmeier
Radiation models for thermal flows at low Mach number. J. Comput. Phys. 215 (2) (2006)
Mapundi K. Banda, Michael Herty, Axel Klar
Gas flow in pipeline networks. Networks Heterog. Media 1 (1) (2006)
Axel Klar, Irene M. Gamba, N. Ben Abdallah
The Milne Problem for High Field Kinetic Equations. SIAM J. Appl. Math. 64 (5) (2004)
Axel Klar, Marco Günther, Raimund Wegener, Thorsten Materne
Multivalued Fundamental Diagrams and Stop and Go Waves for Continuum Traffic Flow Equations. SIAM J. Appl. Math. 64 (2) (2004)
Axel Klar, Edward W. Larsen, Guido Thömmes
New Frequency-Averaged Approximations to the Equations of Radiative Heat Transfer. SIAM J. Appl. Math. 64 (2) (2004)
Axel Klar, James M. Greenberg, Michel Rascle
Congestion on Multilane Highways. SIAM J. Appl. Math. 63 (3) (2003)
Axel Klar, Lorenzo Pareschi, Mohammed Seaïd
Uniformly accurate schemes for relaxation approximations to fluid dynamic equations. Appl. Math. Lett. 16 (7) (2003)
Michael Herty, Axel Klar
Modeling, Simulation, and Optimization of Traffic Flow Networks. SIAM J. Sci. Comput. 25 (3) (2003)
Pierre Degond, Axel Klar
A relaxation approximation for transport equations in the diffusive limit. Appl. Math. Lett. 15 (2) (2002)
A. Aw, Axel Klar, Michel Rascle, Thorsten Materne
Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models. SIAM J. Appl. Math. 63 (1) (2002)
Axel Klar, A. Unterreiter
Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes. SIAM J. Numer. Anal. 40 (3) (2002)
Michael Junk, Axel Klar
Discretizations for the Incompressible Navier-Stokes Equations Based on the Lattice Boltzmann Method. SIAM J. Sci. Comput. 22 (1) (2000)
Axel Klar, Raimund Wegener
Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic. SIAM J. Appl. Math. 60 (5) (2000)
Axel Klar
A Numerical Method for Kinetic Semiconductor Equations in the Drift-Diffusion Limit. SIAM J. Sci. Comput. 20 (5) (1999)
Axel Klar, Raimund Wegener
A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling. SIAM J. Appl. Math. 59 (3) (1998)
Axel Klar
Asymptotic-Induced Domain Decomposition Methods for Kinetic and Drift Diffusion Semiconductor Equations. SIAM J. Sci. Comput. 19 (6) (1998)
Axel Klar, Raimund Wegener
A Hierarchy of Models for Multilane Vehicular Traffic II: Numerical Investigations. SIAM J. Appl. Math. 59 (3) (1998)
Axel Klar
Computation of Nonlinear Functionals in Particle Methods. Computing 55 (3) (1995)