A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations
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Publication:2108272
DOI10.1186/s13661-019-1176-2OpenAlexW2941675449WikidataQ128146955 ScholiaQ128146955MaRDI QIDQ2108272
Publication date: 19 December 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-019-1176-2
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (11)
The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev equation ⋮ A reduced order extrapolating technique of solution coefficient vectors to collocation spectral method for telegraph equation ⋮ A space-time spectral method for multi-dimensional Sobolev equations ⋮ A reduced‐order extrapolating space–time continuous finite element method for the 2D Sobolev equation ⋮ A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation ⋮ A reduced-order energy-stability-preserving finite difference iterative scheme based on POD for the Allen-Cahn equation ⋮ A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation ⋮ A reduced-order extrapolated approach to solution coefficient vectors in the Crank-Nicolson finite element method for the uniform transmission line equation ⋮ A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation ⋮ A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation ⋮ The Crank-Nicolson finite element method for the 2D uniform transmission line equation
Uses Software
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