• 2022
• 2021
• 2020
• 2019
• 2018
• 2017
• 2016
• 2015

2022

• Ranocha H. 2022. A Note on Numerical Fluxes Conserving Harten's Entropies for the Compressible Euler Equations. [submitted / under review]
• Abgrall R, Öffner P, Ranocha H. 2022. ‘Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure Preserving Discretization.’ Journal of Computational Physics 2022: 110955. doi: 10.1016/j.jcp.2022.110955.
• Ranocha H, Schlottke-Lakemper M, Winters AR, Faulhaber E, Chan J, Gassner G. 2022. ‘Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.’ Proceedings of the JuliaCon Conferences 1, Nr. 1: 77. doi: 10.21105/jcon.00077.

2021

• Schlottke-Lakemper M, Winters AR, Ranocha H, Gassner GJ. 2021. ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics.’ Journal of Computational Physics 2021: 110467. doi: 10.1016/j.jcp.2021.110467.
• Mitsotakis Dimitrios, Ranocha Hendrik, Ketcheson David I, Süli Endre. 2021. ‘A conservative fully-discrete numerical method for the regularized shallow water wave equations.’ SIAM Journal on Scientific Computing 42. doi: 10.1137/20M1364606.
• LeFloch PG, Ranocha H. 2021. ‘Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts.’ Journal of Scientific Computing 87. doi: 10.1007/s10915-021-01463-6.
• Ranocha H, Nordström J. 2021. ‘A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions.’ Journal of Scientific Computing 87. doi: 10.1007/s10915-021-01454-7.
• Ranocha H, Mitsotakis D, Ketcheson DI. 2021. ‘A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations.’ Communications in Computational Physics 29, Nr. 4: 979–1029. doi: 10.4208/cicp.OA-2020-0119.
• Ranocha H. 2021. ‘On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators.’ IMA Journal of Numerical Analysis 41, Nr. 1: 654–682. doi: 10.1093/imanum/drz070.
• Rojas D, Boukharfane R, Dalcin L, Fernández DCDR, Ranocha H, Keyes DE, Parsani M. 2021. ‘On the robustness and performance of entropy stable discontinuous collocation methods.’ Journal of Computational Physics 426: 109891. doi: 10.1016/j.jcp.2020.109891.
• Ranocha H, Schlottke-Lakemper M, Chan J, Rueda-Ramírez AM, Winters AR, Hindenlang F, Gassner GJ. 2021. Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws. [submitted / under review]
• Ketcheson DI, Ranocha H. 2021. Computing with B-series. [submitted / under review]
• Torlo D, Öffner P, Ranocha H. 2021. A New Stability Approach for Positivity-Preserving Patankar-type Schemes. [submitted / under review]
• Ranocha H, Dalcin L, Parsani M, Ketcheson DI. 2021. ‘Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics.’ Communications on Applied Mathematics and Computation 2021. doi: 10.1007/s42967-021-00159-w.
• Nüßlein S, Ranocha H, Ketcheson DI. 2021. ‘Positivity-Preserving Adaptive Runge-Kutta Methods.’ Communications in Applied Mathematics and Computational Science 16, Nr. 2: 155–179. doi: 10.2140/camcos.2021.16.155.
• Ranocha H, Luna M, Ketcheson DI. 2021. ‘On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations.’ Partial Differential Equations and Applications 2, Nr. 6: 76. doi: 10.1007/s42985-021-00126-3.
• Ranocha H. 2021. ‘SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties.’ Journal of Open Source Software 6, Nr. 64: 3454. doi: 10.21105/joss.03454.
• Ranocha H, Gassner GJ. 2021. ‘Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes.’ Communications on Applied Mathematics and Computation 2021. doi: 10.1007/s42967-021-00148-z.
• Ostaszewski K, Glassmeier K, Goetz C, Heinisch P, Henri P, Park SA, Ranocha H, Richter I, Rubin M, Tsurutani B. 2021. ‘Steepening of magnetosonic waves in the inner coma of comet 67P/Churyumov-Gerasimenko.’ Annales Geophysicae 39, Nr. 4: 721–742. doi: 10.5194/angeo-39-721-2021.

2020

• Abgrall R, Mélédo El, Öffner P, Ranocha H. 2020. ‘Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes.’ In Hyperbolic Problems: Theory, Numerics, Applications, edited by Bressan A, Lewicka M, Wang D, Zheng Y, 215–222. Heidelberg: Springer.
• Heinisch P, Ostaszewski K, Ranocha H. 2020. ‘Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL.’ In Proceedings of the International Workshop on OpenCL. New York, NY: ACM Press. doi: 10.1145/3388333.3403035.
• Ranocha H. 2020. ‘Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators.’ In Spectral and High Order Methods for Partial Differential Equations {ICOSAHOM} 2018, edited by Sherwin SJ, Moxey D, Peiró J, Vincent PE, Schwab C, 525–535. Heidelberg: Springer. doi: 10.1007/978-3-030-39647-3_42.
• Ranocha H, Ostaszewski K, Heinisch P. 2020. ‘Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators.’ Communications on Applied Mathematics and Computation 2: 581–611. doi: 10.1007/s42967-019-00057-2.
• Ranocha H, Sayyari M, Dalcin L, Parsani M, Ketcheson DI. 2020. ‘Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations.’ SIAM Journal on Scientific Computing 42, Nr. 2: A612–A638. doi: 10.1137/19M1263480.
• Öffner P, Glaubitz J, Ranocha H. 2020. ‘Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods.’ International Journal of Numerical Analysis and Modeling 17, Nr. 3: 332–349.
• Ranocha H, Ketcheson DI. 2020. ‘Relaxation Runge-Kutta Methods for Hamiltonian Problems.’ Journal of Scientific Computing 84, Nr. 1. doi: 10.1007/s10915-020-01277-y.
• Ranocha H, Dalcin L, Parsani M. 2020. ‘Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations.’ Computers and Mathematics with Applications 80, Nr. 5: 1343–1359. doi: 10.1016/j.camwa.2020.06.016.
• Ranocha H, Lóczi L, Ketcheson DI. 2020. ‘General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes.’ Numerische Mathematik 146. doi: 10.1007/s00211-020-01158-4.
• Ketcheson DI, Parsani M, Grant ZJ, Ahmadia A, Ranocha H. 2020. ‘RK-Opt: A package for the design of numerical ODE solvers.’ Journal of Open Source Software 5, Nr. 54: 2514. doi: 10.21105/joss.02514.
• Ranocha H, Ketcheson DI. 2020. ‘Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems.’ SIAM Journal on Numerical Analysis 58, Nr. 6: 3382–3405. doi: 10.1137/19M1290346.
• Ketcheson DI, Ranocha H, Parsani M, Waheed U, Hadjimichael Y. 2020. ‘NodePy: A package for the analysis of numerical ODE solvers.’ Journal of Open Source Software 5, Nr. 55: 2515. doi: 10.21105/joss.02515.

2019

• Ranocha H. 2019. ‘Mimetic Properties of Difference Operators: Product and Chain Rules as for Functions of Bounded Variation and Entropy Stability of Second Derivatives.’ BIT Numerical Mathematics 59, Nr. 2: 547–563. doi: 10.1007/s10543-018-0736-7.
• Öffner P, Ranocha H. 2019. ‘Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients.’ Journal of Scientific Computing 79, Nr. 3: 1572–1607. doi: 10.1007/s10915-018-00902-1.
• Öffner P, Glaubitz J, Ranocha H. 2019. ‘Stability of Correction Procedure via Reconstruction With Summation-by-Parts Operators for Burgers' Equation Using a Polynomial Chaos Approach.’ ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) 52, Nr. 6: 2215–2245. doi: 10.1051/m2an/2018072.
• Ranocha H. 2019. ‘Some Notes on Summation by Parts Time Integration Methods.’ Results in Applied Mathematics 1: 100004. doi: 10.1016/j.rinam.2019.100004.

2018

• Ranocha H. 2018. Generalised Summation-by-Parts Operators and Entropy Stability of Numerical Methods for Hyperbolic Balance Laws Dissertationsschrift, TU Braunschweig. N/A: unbekannt / n.a. / unknown.
• Glaubitz J, Öffner P, Ranocha H, Sonar T. 2018. ‘Artificial Viscosity for Correction Procedure via Reconstruction Using Summation-by-Parts Operators.’ In Theory, Numerics and Applications of Hyperbolic Problems II, edited by Klingenberg C, Westdickenberg M, 363–375. Basel : Springer International Publishing. doi: 10.1007/978-3-319-91548-7_28.
• Öffner P, Ranocha H, Sonar T. 2018. ‘Correction Procedure via Reconstruction Using Summation-by-Parts Operators.’ In Theory, Numerics and Applications of Hyperbolic Problems II, edited by Klingenberg C, Westdickenberg M, 491–501. Basel : Springer International Publishing. doi: 10.1007/978-3-319-91548-7_37.
• Ostaszewski K, Heinisch P, Ranocha H. 2018. ‘Advantages and Pitfalls of OpenCL in Computational Physics.’ In Proceedings of the International Workshop on OpenCL, 10:1. New York, NY: ACM Press. doi: 10.1145/3204919.3204929.
• Ranocha H, Glaubitz J, Öffner P, Sonar T. 2018. ‘Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators.’ Applied Numerical Mathematics 128: 1–23. doi: 10.1016/j.apnum.2018.01.019.
• Ranocha H. 2018. ‘Generalised Summation-by-Parts Operators and Variable Coefficients.’ Journal of Computational Physics 362: 20–48. doi: 10.1016/j.jcp.2018.02.021.
• Ranocha H, Öffner P. 2018. ‘L_2 Stability of Explicit Runge-Kutta Schemes.’ Journal of Scientific Computing 75, Nr. 2: 1040–1056. doi: 10.1007/s10915-017-0595-4.
• Ranocha H. 2018. ‘Comparison of Some Entropy Conservative Numerical Fluxes for the Euler Equations.’ Journal of Scientific Computing 76, Nr. 1: 216–242. doi: 10.1007/s10915-017-0618-1.

2017

• Ranocha H, Öffner P, Sonar T. 2017. ‘Summation-by-Parts and Correction Procedure via Reconstruction.’ In Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016, edited by Bittencourt ML, Dumont NA, Hesthaven JS, 627–637. Heidelberg: Springer. doi: 10.1007/978-3-319-65870-4_45.
• Ranocha H. 2017. ‘Shallow water equations: Split-form, entropy stable, well-balanced, and positivity preserving numerical methods.’ GEM - International Journal on Geomathematics 8, Nr. 1: 85–133. doi: 10.1007/s13137-016-0089-9.
• Ranocha H, Öffner P, Sonar T. 2017. ‘Extended skew-symmetric form for summation-by-parts operators and varying Jacobians.’ Journal of Computational Physics 342: 13–28. doi: 10.1016/j.jcp.2017.04.044.

2016

• Ranocha H, Öffner P, Sonar T. 2016. ‘Summation-by-parts operators for correction procedure via reconstruction.’ Journal of Computational Physics 311: 299–328. doi: 10.1016/j.jcp.2016.02.009.

2015

• Koenders C, Glassmeier K, Richter I, Ranocha H, Motschmann U. 2015. ‘Dynamical features and spatial structures of the plasma interaction region of 67P/Churyumov-Gerasimenko and the solar wind.’ Planetary and Space Science 105: 101–116. doi: 10.1016/j.pss.2014.11.014.