| 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 |
| 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, 2019 | 33 | 2019 |
| Application of modal filtering to a spectral difference method J Glaubitz, P Öffner, T Sonar Mathematics of Computation 87 (309), 175-207, 2018 | 32* | 2018 |
| Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods J Glaubitz, AC Nogueira, JLS Almeida, RF Cantão, CAC Silva Journal of Scientific Computing 79, 249-272, 2019 | 23 | 2019 |
| Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points J Glaubitz, P Öffner Applied Numerical Mathematics 151, 98-118, 2020 | 20 | 2020 |
| Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods P Öffner, J Glaubitz, H Ranocha International Journal of Numerical Analysis and Modeling 17 (3), 332-349, 2020 | 19* | 2020 |
| Stable high-order cubature formulas for experimental data J Glaubitz Journal of Computational Physics 447, 110693, 2021 | 17 | 2021 |
| Stable high order quadrature rules for scattered data and general weight functions J Glaubitz SIAM Journal on Numerical Analysis 58 (4), 2144-2164, 2020 | 16 | 2020 |
| Shock capturing and high-order methods for hyperbolic conservation laws J Glaubitz Logos Verlag Berlin GmbH, 2020 | 15 | 2020 |
| High Order Edge Sensors with Regularization for Enhanced Discontinuous Galerkin Methods J Glaubitz, A Gelb SIAM Journal on Scientific Computing 41 (2), A1304-A1330, 2019 | 15 | 2019 |
| Artificial viscosity for correction procedure via reconstruction using summation-by-parts operators J Glaubitz, P Öffner, H Ranocha, T Sonar Theory, Numerics and Applications of Hyperbolic Problems II: Aachen, Germany …, 2018 | 15 | 2018 |
| Shock capturing by Bernstein polynomials for scalar conservation laws J Glaubitz Applied Mathematics and Computation 363, 124593, 2019 | 14 | 2019 |
| Generalized sparse Bayesian learning and application to image reconstruction J Glaubitz, A Gelb, G Song SIAM/ASA Journal on Uncertainty Quantification 11 (1), 262-284, 2023 | 13 | 2023 |
| Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions J Glaubitz, A Gelb Journal of Scientific Computing 87 (2), 2021 | 11 | 2021 |
| Construction and application of provable positive and exact cubature formulas J Glaubitz IMA Journal of Numerical Analysis 43 (3), 1116-1652, 2023 | 10* | 2023 |
| Summation-by-parts operators for general function spaces J Glaubitz, J Nordström, P Öffner SIAM Journal on Numerical Analysis 61 (2), 733-754, 2023 | 10 | 2023 |
| Towards stable radial basis function methods for linear advection problems J Glaubitz, EL Mélédo, P Öffner Computers and Mathematics with Applications 85, 84-97, 2021 | 10 | 2021 |
| Enhancing stability of correction procedure via reconstruction using summation-by-parts operators I: Artificial dissipation H Ranocha, J Glaubitz, P Öffner, T Sonar arXiv preprint arXiv:1606.00995, 2016 | 9 | 2016 |
| Enhancing stability of correction procedure via reconstruction using summation-by-parts operators II: Modal filtering J Glaubitz, H Ranocha, P Öffner, T Sonar arXiv preprint arXiv:1606.01056, 2016 | 9 | 2016 |
| Towards stability results for global radial basis function based quadrature formulas J Glaubitz, JA Reeger BIT Numerical Mathematics 63 (1), 6, 2023 | 7 | 2023 |
Philipp ÖffnerVertretungsprofessor, TU ClausthalVerified email at philippoeffner.de
