Axel Klar

CoRR, 2020

A kinetic traffic network model and its macroscopic limit: merging lanes.

[BibT_eX]

[DOI]

CoRR, 2020

2019

A Multiscale Particle Method for Mean Field Equations: The General Case.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2019

A numerical comparison of the method of moments for the population balance equation.

[BibT_eX]

[DOI]

Laura Müller

Florian Schneider

Math. Comput. Simul., 2019

2018

Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2018

2017

Trend to Equilibrium for a Delay Vlasov-Fokker-Planck Equation and Explicit Decay Estimates.

[BibT_eX]

[DOI]

Lisa Kreusser

Oliver Tse

SIAM J. Math. Anal., 2017

Nonlinear flux-limited models for chemotaxis on networks.

[BibT_eX]

[DOI]

T. N. Ha Pham

Networks Heterog. Media, 2017

A Retarded Mean-Field Approach for Interacting Fiber Structures.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2017

2016

Numerical simulation of wetting phenomena by a meshfree particle method.

[BibT_eX]

[DOI]

Steffen Hardt

J. Comput. Appl. Math., 2016

Partial-moment minimum-entropy models for kinetic chemotaxis equations in one and two dimensions.

[BibT_eX]

[DOI]

Juliane Ritter

Florian Schneider

J. Comput. Appl. Math., 2016

Mean field models for interacting ellipsoidal particles.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2016

2015

Numerical simulation of a moving rigid body in a rarefied gas.

[BibT_eX]

[DOI]

J. Comput. Phys., 2015

2014

Higher Order Mixed-Moment Approximations for the Fokker-Planck Equation in One Space Dimension.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2014

Higher-Order Averaging of Fokker-Planck Equations for Nonlinear Fiber Lay-Down Processes.

[BibT_eX]

[DOI]

Luis L. Bonilla

Stephan Martin

SIAM J. Appl. Math., 2014

A Multiscale Meshfree Method for Macroscopic Approximations of Interacting Particle Systems.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2014

A Semi-Lagrangian Method for 3-D Fokker Planck Equations for Stochastic Dynamical Systems on the Sphere.

[BibT_eX]

[DOI]

J. Sci. Comput., 2014

2013

Discontinuous Conservation Laws for Production Networks with Finite Buffers.

[BibT_eX]

[DOI]

Simone Göttlich

Patrick Schindler

SIAM J. Appl. Math., 2013

2012

Higher Order Averaging of Linear Fokker-Planck Equations with Periodic Forcing.

[BibT_eX]

[DOI]

Luis L. Bonilla

Stephan Martin

SIAM J. Appl. Math., 2012

Meshfree method for fluctuating hydrodynamics.

[BibT_eX]

[DOI]

Anamika Pandey

Math. Comput. Simul., 2012

A class of multi-phase traffic theories for microscopic, kinetic and continuum traffic models.

[BibT_eX]

[DOI]

Mark Kimathi

Comput. Math. Appl., 2012

Well-posedness of Networked Hyperbolic Systems of Balance Laws.

[BibT_eX]

[DOI]

Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

2009

A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics.

[BibT_eX]

[DOI]

Philip Reuterswärd

Mohammed Seaïd

J. Sci. Comput., 2009

A particle-particle hybrid method for kinetic and continuum equations.

[BibT_eX]

[DOI]

Steffen Hardt

J. Comput. Phys., 2009

A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method.

[BibT_eX]

[DOI]

J. Comput. Phys., 2009

2008

A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2008

Ergodicity and Rate of Convergence for a Nonsectorial Fiber Lay-Down Process.

[BibT_eX]

[DOI]

Martin Grothaus

SIAM J. Math. Anal., 2008

Lattice-Boltzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations.

[BibT_eX]

[DOI]

Math. Comput., 2008

2007

Existence of Solutions for Supply Chain Models Based on Partial Differential Equations.

[BibT_eX]

[DOI]

Benedetto Piccoli

SIAM J. Math. Anal., 2007

A Stochastic Model and Associated Fokker-Planck Equation for the Fiber Lay-Down Process in Nonwoven Production Processes.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2007

A Fast and Accurate Moment Method for the Fokker-Planck Equation and Applications to Electron Radiotherapy.

[BibT_eX]

[DOI]

Martin Frank

Hartmut Hensel

SIAM J. Appl. Math., 2007

Hydrodynamic Limit of a Fokker--Planck Equation Describing Fiber Lay-Down Processes.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2007

A Network Model for Supply Chains with Multiple Policies.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2007

Time-dependent simplified P<sub>N</sub> approximation to the equations of radiative transfer.

[BibT_eX]

[DOI]

J. Comput. Phys., 2007

A lattice-Boltzmann relaxation scheme for coupled convection-radiation systems.

[BibT_eX]

[DOI]

Mohammed Seaïd

J. Comput. Phys., 2007

Smoothed penalty algorithms for optimization of nonlinear models.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2007

Toward Fast and Accurate Deterministic Methods for Dose Calculation in Electron Radiotherapy.

[BibT_eX]

Martin Frank

Hartmut Hensel

Proceedings of the International MultiConference of Engineers and Computer Scientists 2007, 2007

2006

A Stability Notion for Lattice Boltzmann Equations.

[BibT_eX]

[DOI]

W. A. Yong

SIAM J. Sci. Comput., 2006

Combinatorial and Continuous Models for the Optimization of Traffic Flows on Networks.

[BibT_eX]

[DOI]

SIAM J. Optim., 2006

Optimal control for continuous supply network models.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2006

Coupling conditions for gas networks governed by the isothermal Euler equations.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2006

Gas flow in pipeline networks.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2006

Radiation models for thermal flows at low Mach number.

[BibT_eX]

[DOI]

J. Comput. Phys., 2006

Partial moment entropy approximation to radiative heat transfer.

[BibT_eX]

[DOI]

Martin Frank

Bruno Dubroca

J. Comput. Phys., 2006

2004

New Frequency-Averaged Approximations to the Equations of Radiative Heat Transfer.

[BibT_eX]

[DOI]

Edward W. Larsen

Guido Thömmes

SIAM J. Appl. Math., 2004

Multivalued Fundamental Diagrams and Stop and Go Waves for Continuum Traffic Flow Equations.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2004

The Milne Problem for High Field Kinetic Equations.

[BibT_eX]

[DOI]

Irene M. Gamba

N. Ben Abdallah

SIAM J. Appl. Math., 2004

2003

Modeling, Simulation, and Optimization of Traffic Flow Networks.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2003

Congestion on Multilane Highways.

[BibT_eX]

[DOI]

James M. Greenberg

Michel Rascle

SIAM J. Appl. Math., 2003

Uniformly accurate schemes for relaxation approximations to fluid dynamic equations.

[BibT_eX]

[DOI]

Lorenzo Pareschi

Mohammed Seaïd

Appl. Math. Lett., 2003

2002

Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes.

[BibT_eX]

[DOI]

A. Unterreiter

SIAM J. Numer. Anal., 2002

Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2002

A relaxation approximation for transport equations in the diffusive limit.

[BibT_eX]

[DOI]

Pierre Degond

Appl. Math. Lett., 2002

2000

Discretizations for the Incompressible Navier-Stokes Equations Based on the Lattice Boltzmann Method.

[BibT_eX]

[DOI]

Michael Junk

SIAM J. Sci. Comput., 2000

Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic.

[BibT_eX]

[DOI]

Raimund Wegener

SIAM J. Appl. Math., 2000

1999

A Numerical Method for Kinetic Semiconductor Equations in the Drift-Diffusion Limit.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1999

1998

Asymptotic-Induced Domain Decomposition Methods for Kinetic and Drift Diffusion Semiconductor Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1998

A Hierarchy of Models for Multilane Vehicular Traffic II: Numerical Investigations.

[BibT_eX]

[DOI]

Raimund Wegener

SIAM J. Appl. Math., 1998

A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling.

[BibT_eX]

[DOI]

Raimund Wegener

SIAM J. Appl. Math., 1998

1995

Computation of Nonlinear Functionals in Particle Methods.

[BibT_eX]

[DOI]