Splitting methods for solution decomposition in nonstationary problems

DOI10.1016/j.amc.2020.125785OpenAlexW3119271689MaRDI QIDQ2242046

Petr N. Vabishchevich, Yalchin R. Efendiev

Publication date: 9 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08111

zbMATH Keywords

Cauchy problemdecomposition methodssplitting methodssolution decompositionsystem of evolution equationsfirst-order evolution equationsstability of the difference schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions to abstract evolution equations (65J08)

Related Items

Temporal splitting algorithms for non-stationary multiscale problems, Contrast-independent partially explicit time discretizations for multiscale flow problems, Difference decomposition schemes based on splitting the solution and operator of the problem, Efficient decoupling schemes for multiscale multicontinuum problems in fractured porous media, Multiscale simulations for multi-continuum Richards equations, Solution decomposition schemes for second-order evolution equations, Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations, Subdomain solution decomposition method for nonstationary problems, Partially explicit time discretization for time fractional diffusion equation

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