3 papers
math.NA2024
Hierarchical Super-Localized Orthogonal Decomposition Method
Jose C. Garay, Hannah Mohr, Daniel Peterseim +1
We present the construction of a sparse-compressed operator that approximates the solution operator of elliptic PDEs with rough coefficients. To derive the compressed operator, we…
math.NA2023
Super-localised wave function approximation of Bose-Einstein condensates
Daniel Peterseim, Johan Wärnegård, Christoph Zimmer
This paper presents a novel spatial discretisation method for the reliable and efficient simulation of Bose-Einstein condensates modelled by the Gross-Pitaevskii equation and the c…
math.NA2018
Time discretization schemes for hyperbolic systems on networks by -expansion
Robert Altmann, Christoph Zimmer
We consider partial differential equations on networks with a small parameter , which are hyperbolic for and parabolic for . With a combination of an -expansion an…