P. Öffner, J. Glaubitz, H. Ranocha.
Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration
Methods.
International Journal of Numerical Analysis and Modeling,
17.3: 332-349, 2020.
arXiv:1609.02393 [math.NA].
[bibtex]
H. Ranocha, M. Schlottke-Lakemper, A. R. Winters, E. Faulhaber, J. Chan, G. Gassner.
Adaptive numerical simulations with Trixi.jl: A case study of Julia for
scientific computing.
arXiv:2108.06476 [cs.MS], 2021.
[bibtex]
D. Torlo, P. Öffner, H. Ranocha.
A New Stability Approach for Positivity-Preserving Patankar-type Schemes.
arXiv:2108.07347 [math.NA], 2021.
[bibtex]
R. Abgrall, P. Öffner, H. Ranocha.
Reinterpretation and Extension of Entropy Correction Terms for Residual
Distribution and Discontinuous Galerkin Schemes.
arXiv:1908.04556 [math.NA], 2019.
[bibtex]
H. Ranocha, K. Ostaszewski, P. Heinisch.
Numerical Methods for the Magnetic Induction Equation with Hall Effect
and Projections onto Divergence-Free Vector Fields.
arXiv:1810.01397 [math.NA], 2018.
[bibtex]
M. Schlottke-Lakemper, H. Ranocha.
Research software development with Julia.
NFDI4Ing Conference,
Virtual conference of the German National Research Data Infrastructure,
September 2021.
On stability of positivity-preserving Patankar-type time integration methods.
Bound-Preserving Space and Time Discretizations for Convection-Dominated
Problems,
Casa Matemática Oaxaca (CMO, Mexico), August 2021.
Combining Analysis and Data: Optimized Runge-Kutta Methods with Automatic
Step Size Control for Compressible Computational Fluid Dynamics.
Applied Mathematics Seminar,
University of Münster (Germany), July 2021.
H. Ranocha, M. Schlottke-Lakemper, A. R. Winters.
Tutorial on Trixi.jl: Adaptive high-order numerical simulations of hyperbolic PDEs in Julia.
International Conference on Spectral and High Order Methods (ICOSAHOM 2020),
Virtual congress (originally scheduled in Vienna, Austria), July 2021.
H. Ranocha, M. Quezada de Luna, D. Mitsotakis, D. I. Ketcheson.
Summation by parts methods for nonlinear dispersive wave equations.
International Conference on Spectral and High Order Methods (ICOSAHOM 2020),
Virtual congress (originally scheduled in Vienna, Austria), July 2021.
H. Ranocha, P. Öffner, R. Abgrall.
Entropy Corrections and Related Methods.
International Conference on Spectral and High Order Methods (ICOSAHOM 2020),
Virtual congress (originally scheduled in Vienna, Austria), July 2021.
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics.
Seminar at the Institute for Numerical Simulation,
University of Cologne (Germany), May 2021.
Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs.
Applied Mathematics Seminar,
University of Münster (Germany), April 2021.
Recent results on time integration methods for summation by parts schemes.
World Congress in Computational Mechanics and ECCOMAS Congress (WCCM-ECCOMAS 2020),
Virtual congress (originally scheduled in Paris, France), January 2021.
Structure-preserving numerical methods with applications in science and engineering.
Seminar at the Institute for Numerical Simulation,
University of Bonn (Germany), November 2020.
Physics-compatible high-order time integration methods for transport phenomena
based on relaxation.
Modeling and Simulation of Transport Phenomena (MoST 2020),
Treis-Karden (Germany) and online, October 2020.
General relaxation methods for initial-value problems
Online seminar "Stable and Efficient Time Integration Schemes for Conservation Laws
and Related Models",
organized by Philipp Öffner and me, July 2020.
Energy and Entropy in Numerical Methods: Structure Preserving Schemes
with Applications in Science and Engineering.
Computer, Electrical and Mathematical Sciences and Engineering Seminar,
King Abdullah University of Science and Technology (KAUST),
Thuwal (Saudi Arabia), February 2020.
Energy Stability of Runge-Kutta Methods and a Relaxation Approach.
Rémi Abgrall Group Internal Seminar,
Zürich (Switzerland), December 2019.
On Strong Stability of Runge-Kutta Methods.
Computer, Electrical and Mathematical Sciences and Engineering Seminar,
King Abdullah University of Science and Technology (KAUST),
Thuwal (Saudi Arabia), April 2019.
On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Problems.
VII European Workshop on High Order Numerical Methods for Evolutionary
PDEs: Theory and Applications (HONOM),
Madrid (Spain), April 2019.
High-Order Methods on Summation by Parts Form for the Magnetic Induction
Equation.
VII European Workshop on High Order Numerical Methods for Evolutionary
PDEs: Theory and Applications (HONOM),
Madrid (Spain), April 2019.
Überblick über mögliche Probleme numerischer Verfahren für Kontinuumsgleichungen.
Oberseminar Institut für Geophysik und extraterrestrische Physik,
TU Braunschweig (Germany), January 2018.
Generalised Summation-by-Parts Operators, Entropy Stability, and Split Forms.
Numerical Analysis Group Internal Seminar,
Oxford (United Kingdom), October 2017.
Correction Procedure via Reconstruction Using Summation-by-Parts Operators.
International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP),
Aachen (Germany), August 2016.
P. Öffner, H. Ranocha, T. Sonar.
Correction Procedure
via Reconstruction Using Summation-by-Parts Operators..
Theory, Numerics and Applications of Hyperbolic Problems II.
Ed. by C. Klingenberg, M. Westdickenberg.
Vol. 237. Springer Proceedings in Mathematics & Statistics.
Cham: Springer International Publishing, 2018, pp. 491-501.
[bibtex]
Summation-by-Parts and Correction Procedure via Reconstruction.
International Conference on Spectral and High Order Methods (ICOSAHOM),
Rio de Janeiro (Brazil), June 2016.
H. Ranocha, P. Öffner, T. Sonar.
Summation-by-Parts and
Correction Procedure via Reconstruction..
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016.
Ed. by M. L. Bittencourt, N. A. Dumont, J. S. Hesthaven.
Vol. 119. Lecture Notes in Computational Science and Engineering.
Cham: Springer, 2017, pp. 627-637.
[bibtex]
Correction procedure via reconstruction using summation-by-parts operators.
Vincent Lab Internal Seminar,
Imperial College London (United Kingdom), April 2016.