Solving linear differential equations as a minimum norm least squares problem with error-bounds

DOI10.1080/00207160008804946zbMath0955.65057OpenAlexW2036171046MaRDI QIDQ4955152

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Publication date: 4 March 2001

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160008804946

zbMATH Keywords

consistencynumerical exampleslinear differential equationsLaplace equationlinear parabolic equationlinear hyperbolic equationlinear boundary conditionsminimum norm least squares problem error bounds

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• The Pseudoinverse of a Rectangular or Singular Matrix and Its Application to the Solution of Systems of Linear Equations
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