| Publication | Date of Publication | Type |
|---|
| Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction | 2024-01-31 | Paper |
| Energy-stable global radial basis function methods on summation-by-parts form | 2024-01-16 | Paper |
| Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws | 2023-12-18 | Paper |
| Multi-dimensional summation-by-parts operators for general function spaces: theory and construction | 2023-11-27 | Paper |
| Applications of limiters, neural networks and polynomial annihilation in higher-order FD/FV schemes | 2023-09-25 | Paper |
| A study of the local dynamics of modified Patankar DeC and higher order modified Patankar–RK methods | 2023-09-18 | Paper |
| Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems | 2023-08-28 | Paper |
| A new variable shape parameter strategy for RBF approximation using neural networks | 2023-06-28 | Paper |
| On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions | 2023-06-23 | Paper |
| Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability | 2023-06-13 | Paper |
| Summation-by-Parts Operators for General Function Spaces | 2023-04-26 | Paper |
| High order entropy preserving ADER-DG schemes | 2022-12-07 | Paper |
| A necessary condition for non oscillatory and positivity preserving time-integration schemes | 2022-11-16 | Paper |
| Relaxation deferred correction methods and their applications to residual distribution schemes | 2022-11-14 | Paper |
| Entropy conservative high-order fluxes in the presence of boundaries | 2022-11-02 | Paper |
| Issues with positivity-preserving Patankar-type schemes | 2022-10-18 | Paper |
| An arbitrary high order and positivity preserving method for the shallow water equations | 2022-10-17 | Paper |
| Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions | 2022-09-21 | Paper |
| High order entropy preserving ADER scheme | 2022-06-08 | Paper |
| Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization | 2022-05-04 | Paper |
| Summation-by-parts operators for general function spaces | 2022-03-10 | Paper |
| Comparison to control oscillations in high-order Finite Volume schemes via physical constraint limiters, neural networks and polynomial annihilation | 2022-03-01 | Paper |
| Convergence of Discontinuous Galerkin Schemes for the Euler Equations via Dissipative Weak Solutions | 2022-02-21 | Paper |
| An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations | 2021-10-26 | Paper |
| Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods | 2021-10-12 | Paper |
| General polytopal H(div)-conformal finite elements and their discretisation spaces | 2021-09-15 | Paper |
| Towards stable radial basis function methods for linear advection problems | 2021-03-24 | Paper |
| DeC and ADER: similarities, differences and a unified framework | 2021-03-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4964258 | 2021-02-25 | Paper |
| Towards Stable Radial Basis Function Methods for Linear Advection Problems | 2021-01-23 | Paper |
| Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems | 2021-01-21 | Paper |
| Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes | 2020-04-07 | Paper |
| Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points | 2020-02-24 | 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 |
| A class of finite dimensional spaces and H(div) conformal elements on general polytopes | 2019-07-19 | 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 |
| On the Connection between Residual Distribution Schemes and Flux Reconstruction | 2018-07-03 | Paper |
| Error boundedness of Correction Procedure via Reconstruction / Flux Reconstruction | 2018-06-05 | 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 |
| 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 |
| Application of modal filtering to a spectral difference method | 2017-10-30 | Paper |
| Summation-by-parts operators for correction procedure via reconstruction | 2016-12-05 | Paper |
| On Hahn polynomial expansion of a continuous function of bounded variation | 2016-10-21 | Paper |
| Spectral accuracy for the Hahn polynomials | 2016-09-23 | 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 |
| Spectral convergence for orthogonal polynomials on triangles | 2013-08-05 | Paper |
