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Hendrik Ranocha
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2020 – today
- 2024
- [i37]Joshua Lampert, Hendrik Ranocha:
Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations. CoRR abs/2402.16669 (2024) - [i36]Hanna Bartel, Joshua Lampert, Hendrik Ranocha:
Structure-Preserving Numerical Methods for Fokker-Planck Equations. CoRR abs/2404.07641 (2024) - [i35]Jan Glaubitz, Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Gregor Gassner:
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods. CoRR abs/2406.14557 (2024) - 2023
- [j24]Hendrik Ranocha
:
A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators. J. Comput. Phys. 491: 112367 (2023) - [j23]David I. Ketcheson
, Hendrik Ranocha
:
Computing with B-series. ACM Trans. Math. Softw. 49(2): 13:1-13:23 (2023) - [j22]Hendrik Ranocha
, Michael Schlottke-Lakemper
, Jesse Chan
, Andrés M. Rueda-Ramírez
, Andrew R. Winters
, Florian Hindenlang
, Gregor J. Gassner
:
Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws. ACM Trans. Math. Softw. 49(4): 37:1-37:30 (2023) - [i34]Hendrik Ranocha:
A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators. CoRR abs/2302.12488 (2023) - [i33]Viktor Linders, Hendrik Ranocha, Philipp Birken:
Resolving Entropy Growth from Iterative Methods. CoRR abs/2302.13579 (2023) - [i32]Cordula Reisch
, Hendrik Ranocha:
Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biology and numerical methods for ODEs. CoRR abs/2304.02365 (2023) - [i31]Hendrik Ranocha, Jan Giesselmann
:
Stability of step size control based on a posteriori error estimates. CoRR abs/2307.12677 (2023) - [i30]Hendrik Ranocha, Jochen Schütz, Eleni Theodosiou:
Functional-preserving predictor-corrector multiderivative schemes. CoRR abs/2308.04876 (2023) - [i29]Hendrik Ranocha, Jochen Schütz:
Multiderivative time integration methods preserving nonlinear functionals via relaxation. CoRR abs/2311.03883 (2023) - [i28]Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner:
High-order upwind summation-by-parts methods for nonlinear conservation laws. CoRR abs/2311.13888 (2023) - [i27]Sebastian Bleecke, Hendrik Ranocha:
Step size control for explicit relaxation Runge-Kutta methods preserving invariants. CoRR abs/2311.14050 (2023) - [i26]Thomas Izgin, Hendrik Ranocha:
Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar-Runge-Kutta Methods. CoRR abs/2312.01796 (2023) - 2022
- [j21]Rémi Abgrall
, Philipp Öffner
, Hendrik Ranocha
:
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization. J. Comput. Phys. 453: 110955 (2022) - [j20]Hendrik Ranocha
:
A note on numerical fluxes conserving a member of Harten's one-parameter family of entropies for the compressible Euler equations. J. Comput. Phys. 462: 111236 (2022) - [i25]Hendrik Ranocha:
A Note on Numerical Fluxes Conserving Harten's Entropies for the Compressible Euler Equations. CoRR abs/2201.03946 (2022) - [i24]Jesse Chan, Hendrik Ranocha, Andrés M. Rueda-Ramírez
, Gregor Gassner, Tim Warburton:
On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows. CoRR abs/2203.10238 (2022) - [i23]Hendrik Ranocha, Andrew R. Winters, Hugo Guillermo Castro, Lisandro Dalcín, Michael Schlottke-Lakemper, Gregor J. Gassner, Matteo Parsani:
On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics. CoRR abs/2209.07037 (2022) - [i22]Valentin Churavy, William F. Godoy, Carsten Bauer, Hendrik Ranocha, Michael Schlottke-Lakemper, Ludovic Räss, Johannes P. Blaschke
, Mosè Giordano, Erik Schnetter, Samuel Omlin, Jeffrey S. Vetter, Alan Edelman:
Bridging HPC Communities through the Julia Programming Language. CoRR abs/2211.02740 (2022) - 2021
- [j19]Diego Rojas
, Radouan Boukharfane
, Lisandro Dalcín
, David C. Del Rey Fernández
, Hendrik Ranocha
, David E. Keyes
, Matteo Parsani
:
On the robustness and performance of entropy stable collocated discontinuous Galerkin methods. J. Comput. Phys. 426: 109891 (2021) - [j18]Michael Schlottke-Lakemper
, Andrew R. Winters
, Hendrik Ranocha
, Gregor J. Gassner:
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. J. Comput. Phys. 442: 110467 (2021) - [j17]Hendrik Ranocha
:
SummationByPartsOperators.jl: A Julia library of provably stable discretization techniques with mimetic properties. J. Open Source Softw. 6(64): 3454 (2021) - [j16]Hendrik Ranocha
, Jan Nordström
:
A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions. J. Sci. Comput. 87(1): 33 (2021) - [j15]Philippe G. LeFloch, Hendrik Ranocha
:
Kinetic Functions for Nonclassical Shocks, Entropy Stability, and Discrete Summation by Parts. J. Sci. Comput. 87(2): 55 (2021) - [j14]Dimitrios Mitsotakis
, Hendrik Ranocha
, David I. Ketcheson
, Endre Süli:
A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations. SIAM J. Sci. Comput. 43(2): B508-B537 (2021) - [i21]Hendrik Ranocha, Manuel Quezada de Luna, David I. Ketcheson
:
On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations. CoRR abs/2102.07376 (2021) - [i20]Hendrik Ranocha, Lisandro Dalcín, Matteo Parsani
, David I. Ketcheson
:
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics. CoRR abs/2104.06836 (2021) - [i19]Hendrik Ranocha, Michael Schlottke-Lakemper
, Andrew R. Winters, Erik Faulhaber, Jesse Chan, Gregor J. Gassner:
Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing. CoRR abs/2108.06476 (2021) - [i18]Davide Torlo, Philipp Öffner
, Hendrik Ranocha:
A New Stability Approach for Positivity-Preserving Patankar-type Schemes. CoRR abs/2108.07347 (2021) - [i17]David I. Ketcheson
, Hendrik Ranocha:
Computing with B-series. CoRR abs/2111.11680 (2021) - [i16]Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R. Winters, Florian Hindenlang, Gregor J. Gassner:
Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws. CoRR abs/2112.10517 (2021) - 2020
- [j13]Hendrik Ranocha
, Lisandro Dalcín
, Matteo Parsani
:
Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier-Stokes equations. Comput. Math. Appl. 80(5): 1343-1359 (2020) - [j12]David I. Ketcheson
, Matteo Parsani
, Zachary Grant
, Aron J. Ahmadia
, Hendrik Ranocha
:
RK-Opt: A package for the design of numerical ODE solvers. J. Open Source Softw. 5(54): 2514 (2020) - [j11]David I. Ketcheson
, Hendrik Ranocha
, Matteo Parsani
, Umair bin Waheed
, Yiannis Hadjimichael
:
NodePy: A package for the analysis of numerical ODE solvers. J. Open Source Softw. 5(55): 2515 (2020) - [j10]Hendrik Ranocha
, David I. Ketcheson
:
Relaxation Runge-Kutta Methods for Hamiltonian Problems. J. Sci. Comput. 84(1): 17 (2020) - [j9]Hendrik Ranocha
, Lajos Lóczi
, David I. Ketcheson
:
General relaxation methods for initial-value problems with application to multistep schemes. Numerische Mathematik 146(4): 875-906 (2020) - [j8]Hendrik Ranocha
, David I. Ketcheson
:
Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems. SIAM J. Numer. Anal. 58(6): 3382-3405 (2020) - [j7]Hendrik Ranocha
, Mohammed Sayyari
, Lisandro Dalcín
, Matteo Parsani
, David I. Ketcheson
:
Relaxation Runge-Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations. SIAM J. Sci. Comput. 42(2): A612-A638 (2020) - [i15]Hendrik Ranocha, David I. Ketcheson
:
Relaxation Runge-Kutta Methods for Hamiltonian Problems. CoRR abs/2001.04826 (2020) - [i14]Hendrik Ranocha, Lajos Lóczi
, David I. Ketcheson
:
General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes. CoRR abs/2003.03012 (2020) - [i13]Philip Heinisch
, Katharina Ostaszewski, Hendrik Ranocha:
Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL. CoRR abs/2003.03794 (2020) - [i12]Hendrik Ranocha, Jan Nordström:
A Class of A Stable Summation by Parts Time Integration Schemes. CoRR abs/2003.03889 (2020) - [i11]Hendrik Ranocha, Lisandro Dalcín, Matteo Parsani
:
Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations. CoRR abs/2003.08831 (2020) - [i10]Stephan Nüßlein, Hendrik Ranocha, David I. Ketcheson
:
Positivity-Preserving Adaptive Runge-Kutta Methods. CoRR abs/2005.06268 (2020) - [i9]Hendrik Ranocha, Dimitrios Mitsotakis
, David I. Ketcheson
:
A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations. CoRR abs/2006.14802 (2020) - [i8]Philippe G. LeFloch, Hendrik Ranocha:
Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts. CoRR abs/2007.08780 (2020) - [i7]Michael Schlottke-Lakemper, Andrew R. Winters, Hendrik Ranocha, Gregor J. Gassner:
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. CoRR abs/2008.10593 (2020) - [i6]Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson
, Endre Süli:
A conservative fully-discrete numerical method for the regularised shallow water wave equations. CoRR abs/2009.09641 (2020) - [i5]Hendrik Ranocha, Gregor J. Gassner:
Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes. CoRR abs/2009.13139 (2020)
2010 – 2019
- 2019
- [j6]Philipp Öffner
, Hendrik Ranocha
:
Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients. J. Sci. Comput. 79(3): 1572-1607 (2019) - [i4]Rémi Abgrall, Philipp Öffner
, Hendrik Ranocha:
Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes. CoRR abs/1908.04556 (2019) - [i3]Hendrik Ranocha, Katharina Ostaszewski, Philip Heinisch:
Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators. CoRR abs/1908.08732 (2019) - [i2]Hendrik Ranocha, David I. Ketcheson
:
Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems. CoRR abs/1909.13215 (2019) - [i1]Diego Rojas, Radouan Boukharfane, Lisandro Dalcín, David C. Del Rey Fernández, Hendrik Ranocha, David E. Keyes
, Matteo Parsani
:
On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navie-Stokes equations. CoRR abs/1911.10966 (2019) - 2018
- [j5]Hendrik Ranocha
:
Generalised summation-by-parts operators and variable coefficients. J. Comput. Phys. 362: 20-48 (2018) - [j4]Hendrik Ranocha
, Philipp Öffner
:
L2 Stability of Explicit Runge-Kutta Schemes. J. Sci. Comput. 75(2): 1040-1056 (2018) - [j3]Hendrik Ranocha
:
Comparison of Some Entropy Conservative Numerical Fluxes for the Euler Equations. J. Sci. Comput. 76(1): 216-242 (2018) - [c1]Katharina Ostaszewski, Philip Heinisch, Hendrik Ranocha
:
Advantages and pitfalls of OpenCL in computational physics. IWOCL 2018: 10:1 - 2017
- [j2]Hendrik Ranocha
, Philipp Öffner
, Thomas Sonar
:
Extended skew-symmetric form for summation-by-parts operators and varying Jacobians. J. Comput. Phys. 342: 13-28 (2017) - 2016
- [j1]Hendrik Ranocha
, Philipp Öffner
, Thomas Sonar
:
Summation-by-parts operators for correction procedure via reconstruction. J. Comput. Phys. 311: 299-328 (2016)
Coauthor Index
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