Raul Borsche

According to our database, Raul Borsche authored at least 22 papers between 2012 and 2026.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2026

A spectral approach to interface layers on networks for the linearized BGK equation and its acoustic limit.

Raul Borsche, Tobias Damm, Axel Klar, Yizhou Zhou

CoRR, March, 2026

2025

Interface layers and coupling conditions for discrete kinetic models on networks: a spectral approac.

Raul Borsche, Tobias Damm, Axel Klar, Yizhou Zhou

CoRR, December, 2025

2024

Implicit Active Flux Methods for Linear Advection.

Wasilij Barsukow, Raul Borsche

J. Sci. Comput., March, 2024

A Hierarchy of Kinetic Discrete-Velocity Models for Traffic Flow Derived from a Nonlocal Prigogine-Herman Model.

Raul Borsche, Axel Klar

SIAM J. Appl. Math., February, 2024

2023

A hierarchy of kinetic discrete-velocity models for traffic flow derived from a non-local Prigogine-Herman model.

Raul Borsche, Axel Klar

CoRR, 2023

2022

Implicit finite volume method with a posteriori limiting for transport networks.

Matthias Eimer, Raul Borsche, Norbert Siedow

Adv. Comput. Math., 2022

2020

A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs.

Raul Borsche, D. Kocoglu, Stephan Trenn

Math. Control. Signals Syst., 2020

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

Raul Borsche, Axel Klar

CoRR, 2020

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

Raul Borsche, Axel Klar

CoRR, 2020

2019

Microscopic and macroscopic models for coupled car traffic and pedestrian flow.

Raul Borsche, Anne Meurer

J. Comput. Appl. Math., 2019

A local time stepping method for thermal energy transport in district heating networks.

Raul Borsche, Matthias Eimer, Norbert Siedow

Appl. Math. Comput., 2019

2018

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

Raul Borsche, Axel Klar

SIAM J. Sci. Comput., 2018

A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow.

Raul Borsche, Axel Klar

SIAM J. Appl. Math., 2018

2017

Nonlinear flux-limited models for chemotaxis on networks.

Raul Borsche, Axel Klar, T. N. Ha Pham

Networks Heterog. Media, 2017

A Retarded Mean-Field Approach for Interacting Fiber Structures.

Raul Borsche, Axel Klar, Christian Nessler, Andreas Roth, Oliver Tse

Multiscale Model. Simul., 2017

2016

Junction-Generalized Riemann Problem for stiff hyperbolic balance laws in networks: An implicit solver and ADER schemes.

Christian Contarino, Eleuterio F. Toro, Gino I. Montecinos, Raul Borsche, Jochen Kall

J. Comput. Phys., 2016

High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models.

Raul Borsche, Jochen Kall

J. Comput. Phys., 2016

Mean field models for interacting ellipsoidal particles.

Raul Borsche, Axel Klar, Anne Meurer, Oliver Tse

Comput. Math. Appl., 2016

2015

Differential Equations Modeling Crowd Interactions.

Raul Borsche, Rinaldo M. Colombo, Mauro Garavello, Anne Meurer

J. Nonlinear Sci., 2015

A well-balanced solver for the Saint Venant equations with variable cross-section.

Raul Borsche

J. Num. Math., 2015

2014

ADER schemes and high order coupling on networks of hyperbolic conservation laws.

Raul Borsche, Jochen Kall

J. Comput. Phys., 2014

2012

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

Raul Borsche, Mark Kimathi, Axel Klar

Comput. Math. Appl., 2012