A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations
DOI10.1016/j.jco.2024.101839arXiv2302.01658MaRDI QIDQ6193961
Manfred Faldum, Markus Bachmayr
Publication date: 19 March 2024
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.01658
parabolic partial differential equationshigh dimensionswavelet approximationoperator compressionlow-rank tensor approximationsspace-time adaptive methods
Numerical methods for wavelets (65T60) Spaces of operators; tensor products; approximation properties (46B28) Extrapolation to the limit, deferred corrections (65B05) Rate of convergence, degree of approximation (41A25) Multilinear algebra, tensor calculus (15A69) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Second-order parabolic equations (35K10) Preconditioners for iterative methods (65F08) Numerical methods for low-rank matrix approximation; matrix compression (65F55)
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