An ADI Petrov-Galerkin method with quadrature for parabolic problems
DOI10.1002/num.20391zbMath1179.65124OpenAlexW1976573417MaRDI QIDQ3396265
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Publication date: 17 September 2009
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.20391
splineserror estimatesfinite element methodGauss quadraturePetrov-Galerkin methodparabolic initial-boundary value problemsoptimal order convergencealternating direction implicit quadrature Petrov-Galerkin methodLaplace modification
Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items (2)
Cites Work
- Convergence of $O(h^4 )$ Cubic Spline Collocation Methods for Elliptic Partial Differential Equations
- ADI Methods for Cubic Spline Collocation Discretizations of Elliptic PDE
- Analysis of Iterative Line Spline Collocation Methods for Elliptic Partial Differential Equations
- Orthogonal Spline Collocation Laplace-Modified and Alternating-Direction Methods for Parabolic Problems on Rectangles
- Orthogonal spline collocation methods for partial differential equations
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