Tensor-train format solution with preconditioned iterative method for high dimensional time-dependent space-fractional diffusion equations with error analysis
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Publication:2330680
DOI10.1007/s10915-019-00994-3zbMath1428.65069OpenAlexW2955830156WikidataQ127624874 ScholiaQ127624874MaRDI QIDQ2330680
Publication date: 22 October 2019
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-019-00994-3
preconditionerKrylov subspace methodtensor-train decompositionhigh-dimensional fractional diffusion equation
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Multidimensional problems (41A63) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Toeplitz, Cauchy, and related matrices (15B05) Preconditioners for iterative methods (65F08) Fractional partial differential equations (35R11)
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Uses Software
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