output
19992022
most citedSolving high-dimensional partial differential equations using deep learning

1.8k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2014 · math.NAShow all

4 papers · 2 filters

math.NA2014★ 15 cited

Computation of measure-valued solutions for the incompressible Euler equations

Samuel Lanthaler, Siddhartha Mishra

We combine the spectral (viscosity) method and ensemble averaging to propose an algorithm that computes admissible measure valued solutions of the incompressible Euler equations. T…

math.NA2014★ 4 cited

Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations

Holger Rauhut, Christoph Schwab

We analyze the convergence of compressive sensing based sampling techniques for the efficient evaluation of functionals of solutions for a class of high-dimensional, affine-paramet…

math.NA2014

A Posteriori Error Estimation of hp-dG Finite Element Methods for Highly Indefinite Helmholtz Problems (extended version)

Stefan Sauter, Jakob Zech

In this paper, we will consider an -finite elements discretization of a highly indefinite Helmholtz problem by some dG formulation which is based on the ultra-weak variational…

math.NA2014★ 116 cited

Construction of approximate entropy measure valued solutions for hyperbolic systems of conservation laws

Ulrik S. Fjordholm, Roger Käppeli, Siddhartha Mishra +1

Entropy solutions have been widely accepted as the suitable solution framework for systems of conservation laws in several space dimensions. However, recent results in \cite{CDL1,C…