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Papers matching “hyperbolic equations” 99

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Many-Stage Optimal Stabilized Runge–Kutta Methods for Hyperbolic Partial Differential Equations
2024 Journal of Scientific Computing article Mathematics Numerical methods for differential equations Open access

Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon

7

citations
Numerical Schemes for Coupled Systems of Nonconservative Hyperbolic Equations
2024 SIAM Journal on Numerical Analysis article Engineering Computational Fluid Dynamics and Aerodynamics

Niklas Kolbe, Michaël Herty, Siegfried Müller

3

citations
Numerical schemes for coupled systems of nonconservative hyperbolic equations
2023 arXiv (Cornell University) preprint Engineering Computational Fluid Dynamics and Aerodynamics Open access

Niklas Kolbe, Michaël Herty, Siegfried Müller

0

citations
Numerical boundary control of multi-dimensional hyperbolic equations
2025 Mathematical Control and Related Fields article Engineering Stability and Controllability of Differential Equations Open access

Michaël Herty, Kai Hinzmann, Siegfried Müller, Ferdinand Thein

1

citations
Numerical Boundary Control of Multi-Dimensional Hyperbolic Equations
2024 arXiv (Cornell University) preprint Engineering Stability and Controllability of Differential Equations Open access

Michaël Herty, Kai Hinzmann, Siegfried Müller, Ferdinand Thein

0

citations
Stabilization and uncertainty quantification for systems of hyperbolic balance laws
2020 RWTH Publications (RWTH Aachen) dissertation Engineering Stability and Controllability of Differential Equations Open access

Stephan Gerster

2

citations
Model-order reduction for hyperbolic relaxation systems
2022 International Journal of Nonlinear Sciences and Numerical Simulation article Physics and Astronomy Model Reduction and Neural Networks Open access

Sara Grundel, Michaël Herty

2

citations
Model-Order Reduction For Hyperbolic Relaxation Systems
2021 arXiv (Cornell University) preprint Physics and Astronomy Model Reduction and Neural Networks Open access

Sara Grundel, Michaël Herty

0

citations
A Bayesian Approach to Feedback Control for Hyperbolic Balance Laws
2026 arXiv (Cornell University) preprint Engineering Stability and Controllability of Differential Equations Open access

Markus Bambach, Shaoshuai Chu, Michaël Herty, Yunong Lin

0

citations
Relaxation and asymptotic expansion of controlled stiff differential equations
2024 International Journal of Control article Mathematics Differential Equations and Numerical Methods

Michaël Herty, Hicham Kouhkouh

1

citations
Stabilization of a Multi-Dimensional System of Hyperbolic Balance Laws
2022 RWTH Publications (RWTH Aachen) article Engineering Stability and Controllability of Differential Equations Open access

Michaël Herty, Ferdinand Thein

1

citations
Stabilization of a Multi‐Dimensional System of Hyperbolic Balance Laws – A Case Study
2023 PAMM article Engineering Stability and Controllability of Differential Equations Open access

Ferdinand Thein

2

citations
Control Methods in Hyperbolic PDEs
2024 Oberwolfach Reports article Engineering Stability and Controllability of Differential Equations Open access

Fabio Ancona, Bani Anvari, Olivier Glass, Michaël Herty

0

citations
Turnpike properties of optimal boundary control problems with random linear hyperbolic systems
2023 ESAIM Control Optimisation and Calculus of Variations article Engineering Stability and Controllability of Differential Equations Open access

Martin Gugat, Michaël Herty

3

citations
A Comparative Study of Low‐Dissipation Numerical Schemes for Hyperbolic Conservation Laws
2026 Numerical Methods for Partial Differential Equations article Engineering Computational Fluid Dynamics and Aerodynamics Open access

Shaoshuai Chu, Michaël Herty

0

citations
Novel Adaptive Methods for Hyperbolic Conservation Laws Based on New Quasi-Linear Seventh- and Ninth-Order Schemes
2026 arXiv (Cornell University) preprint Engineering Computational Fluid Dynamics and Aerodynamics Open access

Shaoshuai Chu, Pingyao Feng, Vadim A. Kolotilov, Alexander Kurganov, Владимир Викторович Остапенко

0

citations
Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations
2020 Communications in Computational Physics article Engineering Computational Fluid Dynamics and Aerodynamics Open access

Stephan Gerster, Michaël Herty

32

citations
Numerical Analysis of Stabilization for Random Hyperbolic Systems of Balance Laws
2025 arXiv (Cornell University) preprint Engineering Stability and Controllability of Differential Equations Open access

Shaoshuai Chu, Michaël Herty, Alexander Kurganov

0

citations
New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties
2024 Communications on Applied Mathematics and Computation article Engineering Computational Fluid Dynamics and Aerodynamics Open access

Alina E. Chertock, Michaël Herty, Arsen S. Iskhakov, Safa Janajra, Alexander Kurganov, Mária Lukáčová-Medviďová

2

citations
A spectral approach to interface layers on networks for the linearized kinetic BGK equation with hyperbolic scaling
2026 Kinetic and Related Models article Mathematics Gas Dynamics and Kinetic Theory Open access

Raul Borsche, Tobias Damm, Axel Klar, Yizhou Zhou

0

citations
Solving Random Hyperbolic Conservation Laws Using Linear Programming
2026 SIAM Journal on Scientific Computing article Engineering Computational Fluid Dynamics and Aerodynamics Open access

Shaoshuai Chu, Michaël Herty, Mária Lukáčová-Medviďová, Yizhou Zhou

0

citations
On the temporal stability of least-squares methods for linear hyperbolic problems
2024 Computers & Mathematics with Applications article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Douglas R. Q. Pacheco

2

citations
Algorithmic differentiation of hyperbolic flow problems
2021 Journal of Computational Physics article Engineering Computational Fluid Dynamics and Aerodynamics Open access

Michaël Herty, Jonathan Hüser, Uwe Naumann, Thomas Schilden, Wolfgang Schröder

1

citations
Preface: Special Issue on Control Methods in Hyperbolic PDEs
2026 Journal of Hyperbolic Differential Equations editorial Engineering Stability and Controllability of Differential Equations

Fabio Ancona, Olivier Glass, Michael Herty

0

citations
Well Posedness and Characterization of Solutions to Non Conservative Products in Non Homogeneous Fluid Dynamics Equations
2023 Journal of Dynamics and Differential Equations article Engineering Computational Fluid Dynamics and Aerodynamics Open access

Rinaldo M. Colombo, Graziano Guerra, Yannick Holle

2

citations