A class of multi-phase traffic theories for microscopic, kinetic and continuum traffic models. - Raul Borsche; Mark Kimathi; Axel Klar (Comput. Math. Appl., 2012)

ADER schemes and high order coupling on networks of hyperbolic conservation laws. - Raul Borsche; Jochen Kall (J. Comput. Phys., 2014)

A well-balanced solver for the Saint Venant equations with variable cross-section. - Raul Borsche (J. Num. Math., 2015)

Differential Equations Modeling Crowd Interactions. - Raul Borsche; Rinaldo M. Colombo; Mauro Garavello; Anne Meurer (J. Nonlinear Sci., 2015)

Mean field models for interacting ellipsoidal particles. - Raul Borsche; Axel Klar; Anne Meurer; Oliver Tse (Comput. Math. Appl., 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)

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)

A Retarded Mean-Field Approach for Interacting Fiber Structures. - Raul Borsche; Axel Klar; Christian Nessler; Andreas Roth; Oliver Tse (Multiscale Model. Simul., 2017)

Nonlinear flux-limited models for chemotaxis on networks. - Raul Borsche; Axel Klar; T. N. Ha Pham (Networks Heterog. Media, 2017)

A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow. - Raul Borsche; Axel Klar (SIAM J. Appl. Math., 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 local time stepping method for thermal energy transport in district heating networks. - Raul Borsche; Matthias Eimer; Norbert Siedow (Appl. Math. Comput., 2019)

Microscopic and macroscopic models for coupled car traffic and pedestrian flow. - Raul Borsche; Anne Meurer (J. Comput. Appl. Math., 2019)

A kinetic traffic network model and its macroscopic limit: merging lanes. - Raul Borsche; Axel Klar (CoRR, 2020)

A kinetic traffic network model and its macroscopic limit: diverging lanes. - Raul Borsche; Axel Klar (CoRR, 2020)

A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs. - Raul Borsche; D. Kocoglu; Stephan Trenn (Math. Control. Signals Syst., 2020)

Implicit finite volume method with a posteriori limiting for transport networks. - Matthias Eimer; Raul Borsche; Norbert Siedow (Adv. Comput. Math., 2022)

A hierarchy of kinetic discrete-velocity models for traffic flow derived from a non-local Prigogine-Herman model. - Raul Borsche; Axel Klar (CoRR, 2023)

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., 2024)

Implicit Active Flux Methods for Linear Advection. - Wasilij Barsukow; Raul Borsche (J. Sci. Comput., 2024)