Hendrik Ranocha

发表

Dynamical features and spatial structures of the plasma interaction region of 67P/Churyumov–Gerasimenko and the solar wind

K. Glassmeier, I. Richter, U. Motschmann, 2015 .

Summation-by-Parts and Correction Procedure via Reconstruction

T. Sonar, Hendrik Ranocha, Philipp Öffner, 2017 .

A conservative fully-discrete numerical method for the regularised shallow water wave equations pdf

Endre Süli, Hendrik Ranocha, David I. Ketcheson, 2020, SIAM J. Sci. Comput..

General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes pdf

Hendrik Ranocha, David I. Ketcheson, Lajos L'oczi, 2020, Numerische Mathematik.

Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers' equation using a polynomial chaos approach

Hendrik Ranocha, Philipp Offner, Jan Glaubitz, 2017, ESAIM: Mathematical Modelling and Numerical Analysis.

Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives

Hendrik Ranocha, 2018, BIT Numerical Mathematics.

Steepening of magnetosonic waves in the inner coma of comet 67P/Churyumov-Gerasimenko

K. Glassmeier, I. Richter, P. Heinisch, 2019, Annales Geophysicae.

On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics

A. R. Winters, Lisandro Dalcin, G. Gassner, 2022, 2209.07037.

Enhancing stability of correction procedure via reconstruction using summation-by-parts operators II: Modal filtering

T. Sonar, Hendrik Ranocha, Philipp Offner, 2016, 1606.01056.

Bridging HPC Communities through the Julia Programming Language

William F. Godoy, A. Edelman, J. Vetter, 2022, ArXiv.

A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions

J. Nordström, Hendrik Ranocha, 2021, Journal of Scientific Computing.

L 2 Stability of Explicit Runge–Kutta Schemes

Hendrik Ranocha, Philipp Öffner, P. Öffner, 2017 .

Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators

Hendrik Ranocha, 2020, Lecture Notes in Computational Science and Engineering.

Computing with B-series

D. Ketcheson, Hendrik Ranocha, 2021, ACM Transactions on Mathematical Software.

Relaxation Runge–Kutta Methods for Hamiltonian Problems

D. Ketcheson, Hendrik Ranocha, 2020, Journal of Scientific Computing.

Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives

Hendrik Ranocha, 2018, BIT Numerical Mathematics.

Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients

Hendrik Ranocha, P. Öffner, 2019, Journal of Scientific Computing.

Numerical Methods for the Magnetic Induction Equation with Hall Effect and Projections onto Divergence-Free Vector Fields

P. Heinisch, Hendrik Ranocha, K. Ostaszewski, 2018, 1810.01397.

A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

D. Ketcheson, Hendrik Ranocha, D. Mitsotakis, 2020, Communications in Computational Physics.

Positivity-Preserving Adaptive Runge-Kutta Methods

D. Ketcheson, Hendrik Ranocha, Stephan Nüßlein, 2020, Communications in Applied Mathematics and Computational Science.

Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations pdf

Lisandro Dalcin, Hendrik Ranocha, Matteo Parsani, 2020, Comput. Math. Appl..

Relaxation Runge–Kutta Methods for Hamiltonian Problems

D. Ketcheson, Hendrik Ranocha, 2020, Journal of Scientific Computing.

Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems

D. Ketcheson, Hendrik Ranocha, 2019, SIAM J. Numer. Anal..

Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL

Hendrik Ranocha, Philip Heinisch, Katharina Ostaszewski, 2020, ArXiv.

Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients

Philipp Öffner, Hendrik Ranocha, Hendrik Ranocha, 2018, J. Sci. Comput..

Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws pdf

Hendrik Ranocha, Andrew R. Winters, Jesse Chan, 2021, ArXiv.

Preventing Pressure Oscillations Does Not Fix Local Linear Stability Issues of Entropy-Based Split-Form High-Order Schemes

G. Gassner, Hendrik Ranocha, 2020, Communications on Applied Mathematics and Computation.

A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics

Hendrik Ranocha, Andrew R. Winters, Gregor J. Gassner, 2020, J. Comput. Phys..

Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods

Hendrik Ranocha, 2016, GEM - International Journal on Geomathematics.

Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods

Hendrik Ranocha, Hendrik Ranocha, 2016, GEM - International Journal on Geomathematics.

On the robustness and performance of entropy stable collocated discontinuous Galerkin methods

David E. Keyes, Lisandro Dalcin, Matteo Parsani, 2020, J. Comput. Phys..

On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navie-Stokes equations pdf

David E. Keyes, Lisandro Dalcin, Matteo Parsani, 2019, ArXiv.

On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics

A. R. Winters, Lisandro Dalcin, G. Gassner, 2022, Communications on Applied Mathematics and Computation.

Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics pdf

Lisandro Dalcin, Matteo Parsani, Hendrik Ranocha, 2021, Communications on Applied Mathematics and Computation.

Relaxation Runge-Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations

Lisandro Dalcin, Matteo Parsani, Hendrik Ranocha, 2019, SIAM J. Sci. Comput..

Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations

Lisandro Dalcin, Matteo Parsani, Hendrik Ranocha, 2019, 1905.09129.

Summation-by-parts operators for correction procedure via reconstruction

Philipp Öffner, Hendrik Ranocha, Thomas Sonar, 2015, J. Comput. Phys..

Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators

Philipp Öffner, Hendrik Ranocha, Thomas Sonar, 2018, Applied Numerical Mathematics.

Resolving entropy growth from iterative methods

P. Birken, Hendrik Ranocha, V. Linders, 2023, BIT Numerical Mathematics.

On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations pdf

Hendrik Ranocha, Manuel Quezada de Luna, David I. Ketcheson, 2021, Partial Differential Equations and Applications.

General relaxation methods for initial-value problems with application to multistep schemes

D. Ketcheson, Hendrik Ranocha, Lajos L'oczi, 2020, Numerische Mathematik.

On strong stability of explicit Runge–Kutta methods for nonlinear semibounded operators

Hendrik Ranocha, Hendrik Ranocha, 2018, IMA Journal of Numerical Analysis.

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

Hendrik Ranocha, C. Reisch, 2023, ArXiv.

Some notes on summation by parts time integration methods

Hendrik Ranocha, Hendrik Ranocha, 2019, Results in Applied Mathematics.

On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows

Andrés M. Rueda-Ramírez, T. Warburton, G. Gassner, 2022, Frontiers in Physics.

Comparison of Some Entropy Conservative Numerical Fluxes for the Euler Equations

Hendrik Ranocha, Hendrik Ranocha, 2017, J. Sci. Comput..

Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes pdf

Rémi Abgrall, Philipp Öffner, Hendrik Ranocha, 2019, J. Comput. Phys..

L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_2$$\end{document} Stability of Explicit Runge–Kutta Schemes

Philipp Öffner, Hendrik Ranocha, Hendrik Ranocha, 2017, Journal of Scientific Computing.

Artificial Viscosity for Correction Procedure via Reconstruction Using Summation-by-Parts Operators

Philipp Öffner, Hendrik Ranocha, Thomas Sonar, 2016 .

Analysis of artificial dissipation of explicit and implicit time-integration methods

Hendrik Ranocha, Jan Glaubitz, Philipp Offner, 2020 .

Generalised summation-by-parts operators and variable coefficients

Hendrik Ranocha, Hendrik Ranocha, 2017, J. Comput. Phys..

Time discretisation and $L_2$ stability of polynomial summation-by-parts schemes with Runge-Kutta methods

T. Sonar, Hendrik Ranocha, Philipp Offner, 2016, 1609.02393.

Correction Procedure via Reconstruction Using Summation-by-Parts Operators

Philipp Öffner, Hendrik Ranocha, Thomas Sonar, 2016 .

Issues with positivity-preserving Patankar-type schemes

Hendrik Ranocha, Philipp Offner, Davide Torlo, 2021, Applied Numerical Mathematics.

A New Stability Approach for Positivity-Preserving Patankar-type Schemes pdf

Philipp Öffner, Hendrik Ranocha, Davide Torlo, 2021, ArXiv.

Enhancing stability of correction procedure via reconstruction using summation-by-parts operators I: Artificial dissipation

T. Sonar, Hendrik Ranocha, Philipp Offner, 2016, 1606.00995.

NodePy: A package for the analysis of numerical ODE solvers

Matteo Parsani, Hendrik Ranocha, David I. Ketcheson, 2020, J. Open Source Softw..

Stability of step size control based on a posteriori error estimates

J. Giesselmann, Hendrik Ranocha, 2023, ArXiv.

A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions

J. Nordström, Hendrik Ranocha, 2021, J. Sci. Comput..

A Class of A Stable Summation by Parts Time Integration Schemes pdf

Hendrik Ranocha, Jan Nordström, J. Nordström, 2020, ArXiv.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators pdf

Hendrik Ranocha, Philip Heinisch, Katharina Ostaszewski, 2019, Communications on Applied Mathematics and Computation.

Error Boundedness of Flux Reconstruction with Variable Coefficients

Hendrik Ranocha, P. Öffner, 2018 .

RK-Opt: A package for the design of numerical ODE solvers

Matteo Parsani, Hendrik Ranocha, Zachary Grant, 2020, J. Open Source Softw..

Comparison of Some Entropy Conservative Numerical Fluxes for the Euler Equations

Hendrik Ranocha, 2017, Journal of Scientific Computing.

Functional‐preserving predictor‐corrector multiderivative schemes

J. Schütz, Hendrik Ranocha, Eleni Theodosiou, 2023, PAMM.

Multiderivative time integration methods preserving nonlinear functionals via relaxation

Hendrik Ranocha, Jochen Schütz, 2023, Communications in Applied Mathematics and Computational Science.