Summation-by-parts operators for correction procedure via reconstruction H Ranocha, P Öffner, T Sonar Journal of Computational Physics 311, 299-328, 2016 | 136 | 2016 |
Relaxation Runge--Kutta methods: Fully discrete explicit entropy-stable schemes for the compressible Euler and Navier--Stokes equations H Ranocha, M Sayyari, L Dalcin, M Parsani, DI Ketcheson SIAM Journal on Scientific Computing 42 (2), A612-A638, 2020 | 126* | 2020 |
Dynamical features and spatial structures of the plasma interaction region of 67P/Churyumov–Gerasimenko and the solar wind C Koenders, KH Glassmeier, I Richter, H Ranocha, U Motschmann Planetary and Space Science 105, 101-116, 2015 | 100 | 2015 |
Comparison of some entropy conservative numerical fluxes for the Euler equations H Ranocha Journal of Scientific Computing 76 (1), 216-242, 2018 | 72 | 2018 |
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization R Abgrall, P Öffner, H Ranocha Journal of Computational Physics 453, 110955, 2022 | 54 | 2022 |
Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators H Ranocha, J Glaubitz, P Öffner, T Sonar Applied Numerical Mathematics 128, 1-23, 2018 | 49 | 2018 |
Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods H Ranocha GEM-International Journal on Geomathematics 8 (1), 85-133, 2017 | 49 | 2017 |
Generalised summation-by-parts operators and entropy stability of numerical methods for hyperbolic balance laws H Ranocha Cuvillier Verlag, 2018 | 43 | 2018 |
Adaptive numerical simulations with Trixi. jl: A case study of Julia for scientific computing H Ranocha, M Schlottke-Lakemper, AR Winters, E Faulhaber, J Chan, ... arXiv preprint arXiv:2108.06476, 2021 | 42 | 2021 |
Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes H Ranocha, GJ Gassner Communications on Applied Mathematics and Computation, 1-24, 2021 | 42 | 2021 |
Extended skew-symmetric form for summation-by-parts operators and varying Jacobians H Ranocha, P Öffner, T Sonar Journal of Computational Physics 342, 13-28, 2017 | 41 | 2017 |
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics M Schlottke-Lakemper, AR Winters, H Ranocha, GJ Gassner Journal of Computational Physics 442, 110467, 2021 | 37 | 2021 |
On the robustness and performance of entropy stable collocated discontinuous Galerkin methods D Rojas, R Boukharfane, L Dalcin, DCDR Fernández, H Ranocha, ... Journal of Computational Physics 426, 109891, 2021 | 35* | 2021 |
Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers' equation using a polynomial chaos approach P Öffner, J Glaubitz, H Ranocha ESAIM: Mathematical Modelling and Numerical Analysis 52 (6), 2215-2245, 2018 | 35 | 2018 |
General relaxation methods for initial-value problems with application to multistep schemes H Ranocha, L Lóczi, DI Ketcheson Numerische Mathematik 146 (4), 875-906, 2020 | 34 | 2020 |
Stability of Explicit Runge–Kutta Schemes H Ranocha, P Öffner Journal of Scientific Computing 75 (2), 1040-1056, 2018 | 34 | 2018 |
On strong stability of explicit Runge–Kutta methods for nonlinear semibounded operators H Ranocha IMA Journal of Numerical Analysis 41 (1), 654-682, 2021 | 32 | 2021 |
Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier–Stokes equations H Ranocha, L Dalcin, M Parsani Computers & Mathematics with Applications 80 (5), 1343-1359, 2020 | 32 | 2020 |
Relaxation runge–kutta methods for hamiltonian problems H Ranocha, DI Ketcheson Journal of Scientific Computing 84 (1), 17, 2020 | 32* | 2020 |
Generalised summation-by-parts operators and variable coefficients H Ranocha Journal of Computational Physics 362, 20-48, 2018 | 31 | 2018 |