Adaptive Petrov--Galerkin methods for first order transport equations W Dahmen, C Huang, C Schwab, G Welper SIAM journal on numerical analysis 50 (5), 2420-2445, 2012 | 201 | 2012 |
Adaptivity and variational stabilization for convection-diffusion equations∗ A Cohen, W Dahmen, G Welper ESAIM: Mathematical Modelling and Numerical Analysis 46 (5), 1247-1273, 2012 | 198 | 2012 |
Double greedy algorithms: Reduced basis methods for transport dominated problems∗ W Dahmen, C Plesken, G Welper ESAIM: Mathematical Modelling and Numerical Analysis 48 (3), 623-663, 2014 | 148 | 2014 |
Interpolation of functions with parameter dependent jumps by transformed snapshots G Welper SIAM Journal on Scientific Computing 39 (4), A1225-A1250, 2017 | 83 | 2017 |
Transformed snapshot interpolation with high resolution transforms G Welper SIAM Journal on Scientific Computing 42 (4), A2037-A2061, 2020 | 36 | 2020 |
Diffusion coefficients estimation for elliptic partial differential equations A Bonito, A Cohen, R DeVore, G Petrova, G Welper SIAM Journal on Mathematical Analysis 49 (2), 1570-1592, 2017 | 34 | 2017 |
and -adaptive Interpolation by Transformed Snapshots for Parametric and Stochastic Hyperbolic PDEs G Welper arXiv preprint arXiv:1710.11481, 2017 | 13 | 2017 |
Efficient resolution of anisotropic structures W Dahmen, C Huang, G Kutyniok, WQ Lim, C Schwab, G Welper Extraction of quantifiable information from complex systems, 25-51, 2014 | 12 | 2014 |
Adaptive anisotropic Petrov–Galerkin methods for first order transport equations W Dahmen, G Kutyniok, WQ Lim, C Schwab, G Welper Journal of Computational and Applied Mathematics 340, 191-220, 2018 | 11 | 2018 |
Approximation results for Gradient Descent trained Shallow Neural Networks in R Gentile, G Welper arXiv preprint arXiv:2209.08399, 2022 | 9 | 2022 |
Universality of gradient descent neural network training G Welper Neural Networks 150, 259-273, 2022 | 8 | 2022 |
Transformed snapshot interpolation G Welper arXiv preprint arXiv:1505.01227, 2015 | 5 | 2015 |
Infinite dimensional stabilization of convection-dominated problems G Welper Aachen, Techn. Hochsch., Diss., 2013, 2013 | 5 | 2013 |
Approximation results for gradient descent trained neural networks G Welper arXiv preprint arXiv:2309.04860, 2023 | 4 | 2023 |
Approximation and Gradient Descent Training with Neural Networks G Welper arXiv preprint arXiv:2405.11696, 2024 | 2 | 2024 |
Approximation results for gradient flow trained neural networks G Welper Journal of Machine Learning 3 (2), 107-175, 2024 | 2 | 2024 |
FastLRNR and Sparse Physics Informed Backpropagation W Cho, K Lee, N Park, D Rim, G Welper arXiv preprint arXiv:2410.04001, 2024 | | 2024 |
A Low Rank Neural Representation of Entropy Solutions D Rim, G Welper arXiv preprint arXiv:2406.05694, 2024 | | 2024 |
Performance bounds for Reduced Order Models with Application to Parametric Transport D Rim, G Welper arXiv preprint arXiv:2310.14391, 2023 | | 2023 |
Learning Trees of -Minimization Problems G Welper arXiv preprint arXiv:2302.02548, 2023 | | 2023 |