A Galerkin procedure for systems of differential equations

DOI10.1007/BF02575859zbMath0463.65071MaRDI QIDQ1153662

Richard E. Ewing, John R. Cannon

Publication date: 1980

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

extrapolationdegenerate systemextrapolated coefficient Crank-Nicolson-Galerkin methodnon-linear system of ordinary differential equationsoptimal order rates of convergencequasi-linear parabolic system of partial differential equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear boundary value problems for ordinary differential equations (34B15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Genetics and epigenetics (92D10)

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Applicability and efficacy of Galerkin-based approximation for solving the buckling and dynamics of nanobeams with higher-order boundary conditions

Cites Work

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• Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
• Bounds for a class of linear functionals with applications to Hermite interpolation
• Galerkin methods for parabolic equations with nonlinear boundary conditions
• Some Mathematical Problems from Neurobiology
• Rayleigh‐Ritz‐Galerkin methods for dirichlet's problem using subspaces without boundary conditions
• Galerkin Methods for Parabolic Equations

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