| Exponential convergence of deep operator networks for elliptic partial differential equations C Marcati, C Schwab SIAM Journal on Numerical Analysis 61 (3), 1513-1545, 2023 | 46 | 2023 |
| Exponential ReLU neural network approximation rates for point and edge singularities C Marcati, JAA Opschoor, PC Petersen, C Schwab Foundations of Computational Mathematics 23 (3), 1043-1127, 2023 | 36 | 2023 |
| High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation PF Antonietti, C Marcati, I Mazzieri, A Quarteroni Numerical Algorithms 71, 181-206, 2016 | 36 | 2016 |
| p- and hp- virtual elements for the Stokes problem A Chernov, C Marcati, L Mascotto Advances in Computational Mathematics 47, 1-31, 2021 | 30 | 2021 |
| Analytic Regularity for the Incompressible Navier--Stokes Equations in Polygons C Marcati, C Schwab SIAM Journal on Mathematical Analysis 52 (3), 2945-2968, 2020 | 15 | 2020 |
| Regularity and discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials Y Maday, C Marcati Mathematical Models and Methods in Applied Sciences 29 (08), 1585-1617, 2019 | 15 | 2019 |
| Exponential Convergence of -FEM for the Integral Fractional Laplacian in Polygons M Faustmann, C Marcati, JM Melenk, C Schwab SIAM Journal on Numerical Analysis 61 (6), 2601-2622, 2023 | 14 | 2023 |
| Weighted analytic regularity for the integral fractional Laplacian in polygons M Faustmann, C Marcati, JM Melenk, C Schwab SIAM Journal on Mathematical Analysis 54 (6), 6323-6357, 2022 | 14 | 2022 |
| Tensor rank bounds for point singularities in ℝ3 C Marcati, M Rakhuba, C Schwab Advances in Computational Mathematics 48 (3), 18, 2022 | 13 | 2022 |
| Analyticity and discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems Y Maday, C Marcati Mathematical Models and Methods in Applied Sciences, 1-45, 2023 | 5* | 2023 |
| Exponential convergence of mixed hp-DGFEM for the incompressible Navier–Stokes equations in ℝ2 D Schötzau, C Marcati, C Schwab IMA Journal of Numerical Analysis 41 (3), 1966-1999, 2021 | 5 | 2021 |
| Analytic regularity of solutions to the Navier–Stokes equations with mixed boundary conditions in polygons Y He, C Marcati, C Schwab SIAM Journal on Mathematical Analysis 56 (2), 2488-2520, 2024 | 4* | 2024 |
| Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in 1D B Bahr, M Faustmann, C Marcati, JM Melenk, C Schwab Spectral and High Order Methods for Partial Differential Equations ICOSAHOM …, 2022 | 4 | 2022 |
| Low-rank tensor approximation of singularly perturbed boundary value problems in one dimension C Marcati, M Rakhuba, JEM Ulander Calcolo 59 (1), 2, 2022 | 4 | 2022 |
| Discontinuous hp finite element methods for elliptic eigenvalue problems with singular potentials: with applications to quantum chemistry C Marcati Sorbonne Université, 2018 | 3 | 2018 |
| Weighted analytic regularity for the integral fractional Laplacian in polyhedra M Faustmann, C Marcati, JM Melenk, C Schwab arXiv preprint arXiv:2307.11679, 2023 | 1 | 2023 |
| Analytic regularity and hp-Discontinuous Galerkin approximation of viscous, incompressible flow in a polygon Y He, C Schwab, C Marcati master’s thesis, ETH Zurich, 2021 | 1 | 2021 |
| Weighted analyticity of Hartree-Fock eigenfunctions Y Maday, C Marcati arXiv preprint arXiv:2010.06923, 2020 | 1 | 2020 |
| Expression Rates of Neural Operators for Linear Elliptic PDEs in Polytopes C Marcati, C Schwab arXiv preprint arXiv:2409.17552, 2024 | | 2024 |
| hp-FEM for the integral fractional Laplacian in polygons B Bahr, C Marcati, M Faustmann, JM Melenk, C Schwab # PLACEHOLDER_PARENT_METADATA_VALUE#, 14-14, 2024 | | 2024 |
Christoph SchwabProfessor for Mathematics, ETH ZurichVerified email at math.ethz.ch
