Convolution quadrature for the wave equation with a nonlinear impedance boundary condition L Banjai, A Rieder Mathematics of Computation 87 (312), 1783-1819, 2018 | 25 | 2018 |
Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation JM Melenk, A Rieder Journal of Integral Equations and Applications 29 (1), 189-250, 2017 | 19 | 2017 |
FEM–BEM mortar coupling for the Helmholtz problem in three dimensions L Mascotto, JM Melenk, I Perugia, A Rieder Computers & Mathematics with Applications 80 (11), 2351-2378, 2020 | 18 | 2020 |
hp-FEM for the fractional heat equation J Markus Melenk, A Rieder IMA Journal of Numerical Analysis 41 (1), 412-454, 2021 | 17 | 2021 |
Time-domain boundary integral equation modeling of heat transmission problems T Qiu, A Rieder, FJ Sayas, S Zhang Numerische Mathematik 143, 223-259, 2019 | 10 | 2019 |
Optimal additive Schwarz methods for the hp-BEM: the hypersingular integral operator in 3D on locally refined meshes T Führer, JM Melenk, D Praetorius, A Rieder Computers & Mathematics with Applications 70 (7), 1583-1605, 2015 | 9 | 2015 |
Metastable speeds in the fractional Allen–Cahn equation F Achleitner, C Kuehn, JM Melenk, A Rieder Applied Mathematics and Computation 408, 126329, 2021 | 8 | 2021 |
Convolution Quadrature and Boundary Element Methods in wave propagation: a time domain point of view A Rieder Technische Universität Wien, 2017 | 8 | 2017 |
On superconvergence of Runge–Kutta convolution quadrature for the wave equation JM Melenk, A Rieder Numerische Mathematik 147 (1), 157-188, 2021 | 7 | 2021 |
An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM J Markus Melenk, A Rieder IMA Journal of Numerical Analysis 43 (4), 2352-2376, 2023 | 5 | 2023 |
Stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D M Karkulik, JM Melenk, A Rieder ESAIM: Mathematical Modelling and Numerical Analysis 54 (1), 145-180, 2020 | 5 | 2020 |
Time domain boundary integral equations and convolution quadrature for scattering by composite media A Rieder, FJ Sayas, J Melenk Mathematics of Computation 91 (337), 2165-2195, 2022 | 4 | 2022 |
Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation C Erath, L Mascotto, JM Melenk, I Perugia, A Rieder Journal of Scientific Computing 92 (1), 2, 2022 | 4 | 2022 |
Runge–Kutta approximation for -semigroups in the graph norm with applications to time domain boundary integral equations A Rieder, FJ Sayas, JM Melenk SN Partial Differential Equations and Applications 1 (6), 49, 2020 | 4 | 2020 |
Double exponential quadrature for fractional diffusion A Rieder Numerische Mathematik 153 (2), 359-410, 2023 | 3 | 2023 |
On interpolation spaces of piecewise polynomials on mixed meshes M Karkulik, JM Melenk, A Rieder arXiv preprint arXiv:2306.16907, 2023 | 2 | 2023 |
FEM-BEM coupling in fractional diffusion M Faustmann, A Rieder IMA Journal of Numerical Analysis, drae026, 2024 | 1 | 2024 |
Fractional diffusion in the full space: decay and regularity M Faustmann, A Rieder arXiv preprint arXiv:2301.05503, 2023 | 1 | 2023 |
FEM-BEM coupling for the high-frequency Helmholtz problem JM Melenk, I Perugia, A Rieder arXiv preprint arXiv:2407.04428, 2024 | | 2024 |
Towards optimal hierarchical training of neural networks M Feischl, A Rieder, F Zehetgruber arXiv preprint arXiv:2407.02242, 2024 | | 2024 |