Error analysis of Galerkin's method for semilinear equations

DOI10.1155/2012/298640zbMath1264.65122OpenAlexW2040344866WikidataQ58906595 ScholiaQ58906595MaRDI QIDQ1952818

Tadashi Kawanago

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/298640

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items

Codimension-\(m\) bifurcation theorems applicable to the numerical verification methods

Cites Work

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• Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations
• A symmetry-breaking bifurcation theorem and some related theorems applicable to maps having unbounded derivatives
• Computer assisted proof to symmetry-breaking bifurcation phenomena in nonlinear vibration
• Galerkin's procedure for nonlinear periodic systems
• Error bounds for the Rayleigh-Ritz-Galerkin method
• NUMERICAL VERIFICATION METHODS FOR SOLUTIONS OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS
• Finite Element Methods for Navier-Stokes Equations

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