| Publication | Date of Publication | Type |
|---|
| Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar--Runge--Kutta Methods | 2023-12-04 | Paper |
| A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators | 2023-11-27 | Paper |
| Step size control for explicit relaxation Runge-Kutta methods preserving invariants | 2023-11-23 | Paper |
| Resolving entropy growth from iterative methods | 2023-09-21 | Paper |
| Functional-preserving predictor-corrector multiderivative schemes | 2023-08-09 | Paper |
| Issues with positivity-preserving Patankar-type schemes | 2022-10-18 | Paper |
| Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics | 2022-10-13 | Paper |
| On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics | 2022-09-15 | Paper |
| Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes | 2022-08-10 | Paper |
| A note on numerical fluxes conserving a member of Harten's one-parameter family of entropies for the compressible Euler equations | 2022-06-03 | Paper |
| Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization | 2022-05-04 | Paper |
| A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics | 2022-04-25 | Paper |
| On the robustness and performance of entropy stable collocated discontinuous Galerkin methods | 2022-04-19 | Paper |
| On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows | 2022-03-19 | Paper |
| Positivity-preserving adaptive Runge-Kutta methods | 2022-01-11 | Paper |
| A Note on Numerical Fluxes Conserving a Member of Harten's One-Parameter Family of Entropies for the Compressible Euler Equations | 2022-01-11 | Paper |
| On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations | 2022-01-03 | Paper |
| Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators | 2021-12-02 | Paper |
| Computing with B-series | 2021-11-23 | Paper |
| Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators | 2021-11-19 | Paper |
| A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations | 2021-11-03 | Paper |
| Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods | 2021-10-12 | Paper |
| Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts | 2021-05-17 | Paper |
| A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions | 2021-05-03 | Paper |
| A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations | 2021-04-28 | Paper |
| Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics | 2021-04-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4964258 | 2021-02-25 | Paper |
| On strong stability of explicit Runge–Kutta methods for nonlinear semibounded operators | 2021-02-24 | Paper |
| Energy Stability of Explicit Runge--Kutta Methods for Nonautonomous or Nonlinear Problems | 2021-01-12 | Paper |
| General relaxation methods for initial-value problems with application to multistep schemes | 2021-01-11 | Paper |
| Some notes on summation by parts time integration methods | 2020-11-10 | Paper |
| Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes | 2020-09-28 | Paper |
| Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier-Stokes equations | 2020-09-07 | Paper |
| A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics | 2020-08-24 | Paper |
| Relaxation Runge-Kutta methods for Hamiltonian problems | 2020-07-13 | Paper |
| Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations | 2020-03-20 | Paper |
| Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations | 2020-03-19 | Paper |
| On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navier-Stokes equations | 2019-11-21 | Paper |
| Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure Preserving Discretization | 2019-08-13 | Paper |
| Error boundedness of discontinuous Galerkin methods with variable coefficients | 2019-07-26 | Paper |
| Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives | 2019-06-27 | Paper |
| Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers' equation using a polynomial chaos approach | 2019-06-07 | Paper |
| Artificial viscosity for correction procedure via reconstruction using summation-by-parts operators | 2019-02-18 | Paper |
| Correction procedure via reconstruction using summation-by-parts operators | 2019-02-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4623308 | 2019-02-15 | Paper |
| Numerical Methods for the Magnetic Induction Equation with Hall Effect and Projections onto Divergence-Free Vector Fields | 2018-10-02 | Paper |
| Comparison of some entropy conservative numerical fluxes for the Euler equations | 2018-08-29 | Paper |
| Generalised summation-by-parts operators and variable coefficients | 2018-06-14 | Paper |
| \(L_2\) stability of explicit Runge-Kutta schemes | 2018-06-01 | Paper |
| Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators | 2018-04-13 | Paper |
| Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods | 2018-03-28 | Paper |
| Summation-by-parts and correction procedure via reconstruction | 2018-02-15 | Paper |
| Extended skew-symmetric form for summation-by-parts operators and varying Jacobians | 2017-12-15 | Paper |
| Summation-by-parts operators for correction procedure via reconstruction | 2016-12-05 | Paper |
| Enhancing stability of correction procedure via reconstruction using summation-by-parts operators I: Artificial dissipation | 2016-06-03 | Paper |
| Enhancing stability of correction procedure via reconstruction using summation-by-parts operators II: Modal filtering | 2016-06-03 | Paper |
