A REDUCED-ORDER EXTRAPOLATION SPECTRAL-FINITE DIFFERENCE SCHEME BASED ON THE POD METHOD FOR 2D SECOND-ORDER HYPERBOLIC EQUATIONS

DOI10.3846/13926292.2017.1334714zbMath1488.65265OpenAlexW2759033449MaRDI QIDQ5015472

Shiju Jin, Zhen-Dong Luo

Publication date: 8 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2017.1334714

zbMATH Keywords

error estimatesproper orthogonal decompositionsecond-order hyperbolic equationsclassical spectral-finite difference methodreduced-order extrapolation spectral-finite difference scheme

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Extrapolation to the limit, deferred corrections (65B05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Second-order hyperbolic equations (35L10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (9)

A Crank-Nicolson collocation spectral method for the two-dimensional telegraph equations ⋮ A Crank-Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity-stream functions ⋮ A collocation spectral method for two-dimensional Sobolev equations ⋮ A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations ⋮ Reduced‐order extrapolation technique for coefficient vectors of numerical solutions about fluid mechanics equation ⋮ A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate ⋮ A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions ⋮ A spectral element Crank-Nicolson model to the 2D unsteady conduction-convection problems about vorticity and stream functions ⋮ A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations

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