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cs.PF2026
A Sub-linear Low-Rank Solver for Poisson's Equation using Machine Learning Frameworks for GPU Acceleration
Måns I. Andersson, Daniel Appelö
In this paper we explore a fast Poisson solver for problems with a solution that is known to be low-rank. We use an adaptive and warm started cross approximation called Cross-DEIM…
math.NA2026
Gregory Nested Picard Iteration Schemes for Open Quantum Systems Governed by the Lindblad Equation
Jiuhua Hu, Daniel Appelo, Yingda Cheng
Numerical simulation of quantum computing hardware and open quantum systems governed by the Lindblad equation is challenging due to the high dimensionality of the density matrix an…
math.NA2026
Completely Positive and Trace Preserving Schemes with Tensor Train Compression for the Lindblad Equation
Peter DelMastro, Daniel Appelö, Yingda Cheng
We propose a family of low-rank, completely positive and trace preserving schemes for the Lindblad equation, a common model for open quantum systems. Low-rank representation is emp…