Hendrik Ranocha

Orcid: 0000-0002-3456-2277

According to our database1, Hendrik Ranocha authored at least 57 papers between 2016 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2025
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws.
J. Comput. Phys., 2025

2024
Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form.
CoRR, 2024

Pseudo-Energy-Preserving Explicit Runge-Kutta Methods.
CoRR, 2024

Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods.
CoRR, 2024

Structure-Preserving Numerical Methods for Fokker-Planck Equations.
CoRR, 2024

Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations.
CoRR, 2024

2023
Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws.
ACM Trans. Math. Softw., December, 2023

A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators.
J. Comput. Phys., October, 2023

Computing with B-series.
ACM Trans. Math. Softw., June, 2023

Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar-Runge-Kutta Methods.
CoRR, 2023

Step size control for explicit relaxation Runge-Kutta methods preserving invariants.
CoRR, 2023

High-order upwind summation-by-parts methods for nonlinear conservation laws.
CoRR, 2023

Multiderivative time integration methods preserving nonlinear functionals via relaxation.
CoRR, 2023

Functional-preserving predictor-corrector multiderivative schemes.
CoRR, 2023

Stability of step size control based on a posteriori error estimates.
CoRR, 2023

Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biology and numerical methods for ODEs.
CoRR, 2023

Resolving Entropy Growth from Iterative Methods.
CoRR, 2023

2022
A note on numerical fluxes conserving a member of Harten's one-parameter family of entropies for the compressible Euler equations.
J. Comput. Phys., 2022

Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization.
J. Comput. Phys., 2022

Bridging HPC Communities through the Julia Programming Language.
CoRR, 2022

On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics.
CoRR, 2022

On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows.
CoRR, 2022

A Note on Numerical Fluxes Conserving Harten's Entropies for the Compressible Euler Equations.
CoRR, 2022

2021
A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations.
SIAM J. Sci. Comput., 2021

A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions.
J. Sci. Comput., 2021

Kinetic Functions for Nonclassical Shocks, Entropy Stability, and Discrete Summation by Parts.
J. Sci. Comput., 2021

SummationByPartsOperators.jl: A Julia library of provably stable discretization techniques with mimetic properties.
J. Open Source Softw., 2021

A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics.
J. Comput. Phys., 2021

On the robustness and performance of entropy stable collocated discontinuous Galerkin methods.
J. Comput. Phys., 2021

A New Stability Approach for Positivity-Preserving Patankar-type Schemes.
CoRR, 2021

Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.
CoRR, 2021

Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics.
CoRR, 2021

On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations.
CoRR, 2021

2020
Relaxation Runge-Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations.
SIAM J. Sci. Comput., 2020

Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems.
SIAM J. Numer. Anal., 2020

General relaxation methods for initial-value problems with application to multistep schemes.
Numerische Mathematik, 2020

Relaxation Runge-Kutta Methods for Hamiltonian Problems.
J. Sci. Comput., 2020

NodePy: A package for the analysis of numerical ODE solvers.
J. Open Source Softw., 2020

RK-Opt: A package for the design of numerical ODE solvers.
J. Open Source Softw., 2020

Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes.
CoRR, 2020

A conservative fully-discrete numerical method for the regularised shallow water wave equations.
CoRR, 2020

A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations.
CoRR, 2020

Positivity-Preserving Adaptive Runge-Kutta Methods.
CoRR, 2020

A Class of A Stable Summation by Parts Time Integration Schemes.
CoRR, 2020

Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL.
CoRR, 2020

Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier-Stokes equations.
Comput. Math. Appl., 2020

2019
Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients.
J. Sci. Comput., 2019

On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navie-Stokes equations.
CoRR, 2019

Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems.
CoRR, 2019

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators.
CoRR, 2019

Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes.
CoRR, 2019

2018
L<sub>2</sub> Stability of Explicit Runge-Kutta Schemes.
J. Sci. Comput., 2018

Comparison of Some Entropy Conservative Numerical Fluxes for the Euler Equations.
J. Sci. Comput., 2018

Generalised summation-by-parts operators and variable coefficients.
J. Comput. Phys., 2018

Advantages and pitfalls of OpenCL in computational physics.
Proceedings of the International Workshop on OpenCL, 2018

2017
Extended skew-symmetric form for summation-by-parts operators and varying Jacobians.
J. Comput. Phys., 2017

2016
Summation-by-parts operators for correction procedure via reconstruction.
J. Comput. Phys., 2016


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