| 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 | 143 | 2020 |
| Summation-by-parts operators for correction procedure via reconstruction H Ranocha, P Öffner, T Sonar Journal of Computational Physics 311, 299-328, 2016 | 140 | 2016 |
| 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 | 105 | 2015 |
| Comparison of some entropy conservative numerical fluxes for the Euler equations H Ranocha Journal of Scientific Computing 76 (1), 216-242, 2018 | 85 | 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 | 64 | 2022 |
| 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 | 56 | 2021 |
| 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 | 51 | 2017 |
| 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 | 50 | 2021 |
| Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics H Ranocha, L Dalcin, M Parsani, DI Ketcheson Communications on Applied Mathematics and Computation 4 (4), 1191-1228, 2022 | 48 | 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 | 48 | 2018 |
| Generalised summation-by-parts operators and entropy stability of numerical methods for hyperbolic balance laws H Ranocha Cuvillier Verlag, 2018 | 47 | 2018 |
| 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 | 43 | 2021 |
| 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 | 42 | 2020 |
| 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 | 41* | 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 | 40 | 2017 |
| 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 | 38 | 2020 |
| 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 | 37 | 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 | 36 | 2021 |
| Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators H Ranocha Spectral and high order methods for partial differential equations ICOSAHOM …, 2020 | 35 | 2020 |
| Relaxation runge–kutta methods for hamiltonian problems H Ranocha, DI Ketcheson Journal of Scientific Computing 84 (1), 17, 2020 | 35* | 2020 |
Philipp ÖffnerVertretungsprofessor, TU Clausthal確認したメール アドレス: philippoeffner.de
