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ORCIDAxel Klar
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- affiliation: University of Kaiserslautern
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2020 – today
- 2025
[j61]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: 128968 (2025)- 2024
- [j60]Sudarshan Tiwari, Axel Klar:
A mesh-free particle method for continuum modelling of granular flow. J. Comput. Appl. Math. 438: 115529 (2024) - [j59]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): 139-164 (2024) - [i8]Panchatchram Mariappan, Klaas Willems, Gangadhara Boregowda, Sudarshan Tiwari, Axel Klar:
High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method. CoRR abs/2408.02350 (2024) - 2023
- [i7]Raul Borsche, Axel Klar:
A hierarchy of kinetic discrete-velocity models for traffic flow derived from a non-local Prigogine-Herman model. CoRR abs/2305.19433 (2023) - 2022
- [j58]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: 111088 (2022) - [i6]Sudarshan Tiwari, Axel Klar:
A mesh-free particle method for continuum modeling of granular flow. CoRR abs/2212.03552 (2022) - 2021
- [j57]Markus Rein, Jan Mohring, Tobias Damm, Axel Klar:
Model order reduction of hyperbolic systems focusing on district heating networks. J. Frankl. Inst. 358(15): 7674-7697 (2021) - [i5]Sudarshan Tiwari, Axel Klar, Giovanni Russo:
Modeling and simulations of moving droplet in a Rarefied gas. CoRR abs/2108.13895 (2021) - [i4]Sudarshan Tiwari, Axel Klar, Giovanni Russo:
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries. CoRR abs/2109.05822 (2021) - 2020
- [i3]Raul Borsche, Axel Klar:
A kinetic traffic network model and its macroscopic limit: merging lanes. CoRR abs/2002.05995 (2020) - [i2]Raul Borsche, Axel Klar:
A kinetic traffic network model and its macroscopic limit: diverging lanes. CoRR abs/2003.14254 (2020) - [i1]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 abs/2006.12322 (2020)
2010 – 2019
- 2019
- [j56]Laura Müller, Axel Klar, Florian Schneider:
A numerical comparison of the method of moments for the population balance equation. Math. Comput. Simul. 165: 26-55 (2019) - [j55]Axel Klar, Sudarshan Tiwari:
A Multiscale Particle Method for Mean Field Equations: The General Case. Multiscale Model. Simul. 17(1): 233-259 (2019) - 2018
- [j54]Raul Borsche, Axel Klar:
A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow. SIAM J. Appl. Math. 78(5): 2891-2917 (2018) - [j53]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) - 2017
- [j52]Raul Borsche, Axel Klar, Christian Nessler, Andreas Roth, Oliver Tse:
A Retarded Mean-Field Approach for Interacting Fiber Structures. Multiscale Model. Simul. 15(3): 1130-1154 (2017) - [j51]Raul Borsche, Axel Klar, T. N. Ha Pham:
Nonlinear flux-limited models for chemotaxis on networks. Networks Heterog. Media 12(3): 381-401 (2017) - [j50]Axel Klar, Lisa Maria Kreusser, Oliver Tse:
Trend to Equilibrium for a Delay Vlasov-Fokker-Planck Equation and Explicit Decay Estimates. SIAM J. Math. Anal. 49(4): 3277-3298 (2017) - 2016
- [j49]Raul Borsche, Axel Klar, Anne Meurer, Oliver Tse:
Mean field models for interacting ellipsoidal particles. Comput. Math. Appl. 72(3): 704-719 (2016) - [j48]Sudarshan Tiwari, Axel Klar, Steffen Hardt:
Numerical simulation of wetting phenomena by a meshfree particle method. J. Comput. Appl. Math. 292: 469-485 (2016) - [j47]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: 300-315 (2016) - 2015
- [j46]Samir Shrestha, Sudarshan Tiwari, Axel Klar, Steffen Hardt:
Numerical simulation of a moving rigid body in a rarefied gas. J. Comput. Phys. 292: 239-252 (2015) - 2014
- [j45]Andreas 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): 513-532 (2014) - [j44]Axel Klar, Sudarshan Tiwari:
A Multiscale Meshfree Method for Macroscopic Approximations of Interacting Particle Systems. Multiscale Model. Simul. 12(3): 1167-1192 (2014) - [j43]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): 366-391 (2014) - [j42]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): 1087-1114 (2014) - 2013
- [j41]Simone Göttlich, Axel Klar, Patrick Schindler:
Discontinuous Conservation Laws for Production Networks with Finite Buffers. SIAM J. Appl. Math. 73(3): 1117-1138 (2013) - 2012
- [j40]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): 2939-2953 (2012) - [j39]Anamika Pandey, Axel Klar, Sudarshan Tiwari:
Meshfree method for fluctuating hydrodynamics. Math. Comput. Simul. 82(11): 2157-2166 (2012) - [j38]Luis L. Bonilla, Axel Klar, Stephan Martin:
Higher Order Averaging of Linear Fokker-Planck Equations with Periodic Forcing. SIAM J. Appl. Math. 72(4): 1315-1342 (2012) - [p1]Martin Gugat, Michael Herty, Axel Klar, Günter Leugering, Veronika Schleper:
Well-posedness of Networked Hyperbolic Systems of Balance Laws. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 123-146
2000 – 2009
- 2009
- [j37]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): 1139-1156 (2009) - [j36]Sudarshan Tiwari, Axel Klar, Steffen Hardt:
A particle-particle hybrid method for kinetic and continuum equations. J. Comput. Phys. 228(18): 7109-7124 (2009) - [j35]Axel Klar, Philip Reuterswärd, Mohammed Seaïd:
A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics. J. Sci. Comput. 38(3): 349-367 (2009) - 2008
- [j34]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): 943-965 (2008) - [j33]Martin Grothaus, Axel Klar:
Ergodicity and Rate of Convergence for a Nonsectorial Fiber Lay-Down Process. SIAM J. Math. Anal. 40(3): 968-983 (2008) - [j32]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): 1490-1507 (2008) - 2007
- [j31]Michael Herty, Axel Klar, A. K. Singh, Peter Spellucci:
Smoothed penalty algorithms for optimization of nonlinear models. Comput. Optim. Appl. 37(2): 157-176 (2007) - [j30]Mapundi K. Banda, Axel Klar, Mohammed Seaïd:
A lattice-Boltzmann relaxation scheme for coupled convection-radiation systems. J. Comput. Phys. 226(2): 1408-1431 (2007) - [j29]Martin Frank, Axel Klar, Edward W. Larsen, Shugo Yasuda:
Time-dependent simplified PN approximation to the equations of radiative transfer. J. Comput. Phys. 226(2): 2289-2305 (2007) - [j28]Pierre Degond, Simone Göttlich, Michael Herty, Axel Klar:
A Network Model for Supply Chains with Multiple Policies. Multiscale Model. Simul. 6(3): 820-837 (2007) - [j27]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): 582-603 (2007) - [j26]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): 1704-1717 (2007) - [j25]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): 648-665 (2007) - [j24]Michael Herty, Axel Klar, Benedetto Piccoli:
Existence of Solutions for Supply Chain Models Based on Partial Differential Equations. SIAM J. Math. Anal. 39(1): 160-173 (2007) - [c1]Martin Frank, Hartmut Hensel, Axel Klar:
Toward Fast and Accurate Deterministic Methods for Dose Calculation in Electron Radiotherapy. IMECS 2007: 2361-2365 - 2006
- [j23]Ioan Teleaga, Mohammed Seaïd, Ingenuin Gasser, Axel Klar, Jens Struckmeier:
Radiation models for thermal flows at low Mach number. J. Comput. Phys. 215(2): 506-525 (2006) - [j22]Martin Frank, Bruno Dubroca, Axel Klar:
Partial moment entropy approximation to radiative heat transfer. J. Comput. Phys. 218(1): 1-18 (2006) - [j21]Mapundi K. Banda, Michael Herty, Axel Klar:
Gas flow in pipeline networks. Networks Heterog. Media 1(1): 41-56 (2006) - [j20]Mapundi K. Banda, Michael Herty, Axel Klar:
Coupling conditions for gas networks governed by the isothermal Euler equations. Networks Heterog. Media 1(2): 295-314 (2006) - [j19]Claus Kirchner, Michael Herty, Simone Göttlich, Axel Klar:
Optimal control for continuous supply network models. Networks Heterog. Media 1(4): 675-688 (2006) - [j18]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): 1155-1176 (2006) - [j17]Mapundi K. Banda, W. A. Yong, Axel Klar:
A Stability Notion for Lattice Boltzmann Equations. SIAM J. Sci. Comput. 27(6): 2098-2111 (2006) - 2004
- [j16]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): 468-483 (2004) - [j15]Axel Klar, Edward W. Larsen, Guido Thömmes:
New Frequency-Averaged Approximations to the Equations of Radiative Heat Transfer. SIAM J. Appl. Math. 64(2): 565-582 (2004) - [j14]Axel Klar, Irene M. Gamba, N. Ben Abdallah:
The Milne Problem for High Field Kinetic Equations. SIAM J. Appl. Math. 64(5): 1709-1736 (2004) - 2003
- [j13]Axel Klar, Lorenzo Pareschi, Mohammed Seaïd:
Uniformly accurate schemes for relaxation approximations to fluid dynamic equations. Appl. Math. Lett. 16(7): 1123-1127 (2003) - [j12]Axel Klar, James M. Greenberg, Michel Rascle:
Congestion on Multilane Highways. SIAM J. Appl. Math. 63(3): 818-833 (2003) - [j11]Michael Herty, Axel Klar:
Modeling, Simulation, and Optimization of Traffic Flow Networks. SIAM J. Sci. Comput. 25(3): 1066-1087 (2003) - 2002
- [j10]Pierre Degond, Axel Klar:
A relaxation approximation for transport equations in the diffusive limit. Appl. Math. Lett. 15(2): 131-135 (2002) - [j9]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): 259-278 (2002) - [j8]Axel Klar, A. Unterreiter:
Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes. SIAM J. Numer. Anal. 40(3): 891-913 (2002) - 2000
- [j7]Axel Klar, Raimund Wegener:
Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic. SIAM J. Appl. Math. 60(5): 1749-1766 (2000) - [j6]Michael Junk, Axel Klar:
Discretizations for the Incompressible Navier-Stokes Equations Based on the Lattice Boltzmann Method. SIAM J. Sci. Comput. 22(1): 1-19 (2000)
1990 – 1999
- 1999
- [j5]Axel Klar:
A Numerical Method for Kinetic Semiconductor Equations in the Drift-Diffusion Limit. SIAM J. Sci. Comput. 20(5): 1696-1712 (1999) - 1998
- [j4]Axel Klar, Raimund Wegener:
A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling. SIAM J. Appl. Math. 59(3): 983-1001 (1998) - [j3]Axel Klar, Raimund Wegener:
A Hierarchy of Models for Multilane Vehicular Traffic II: Numerical Investigations. SIAM J. Appl. Math. 59(3): 1002-1011 (1998) - [j2]Axel Klar:
Asymptotic-Induced Domain Decomposition Methods for Kinetic and Drift Diffusion Semiconductor Equations. SIAM J. Sci. Comput. 19(6): 2032-2050 (1998) - 1995
- [j1]Axel Klar:
Computation of Nonlinear Functionals in Particle Methods. Computing 55(3): 207-222 (1995)
Coauthor Index
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