The Performance of the Collocation and Galerkin Methods with Hermite Bi-Cubics

DOI10.1137/0721047zbMath0562.65082OpenAlexW1966752811MaRDI QIDQ3675474

Robert E. Lynch, John R. Rice, Elias N. Houstis, Wayne R. Dyksen

Publication date: 1984

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://docs.lib.purdue.edu/cstech/337

zbMATH Keywords

computational complexityCholesky factorizationGauss eliminationcollocationcomputer timecomparison methodsGalerkinexperimental studyerror measurementHermite bi-cubic

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (10)

Enriched collocation finite element method, a model problem ⋮ A finite element based collocation method for eigenvalue calculations ⋮ Orthogonal collocation solution of biharmonic equations ⋮ A fast algorithm for solving the tensor product collocation equations ⋮ A collocatedC⁰finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics ⋮ The use of the generalized extended to the limit sparse factorization techniques for the solution of non-linear elliptic and parabolic difference equations ⋮ Orthogonal collocation revisited ⋮ Mathematical software: Past, present, and future ⋮ A new decoupling technique for the Hermite cubic collocation equations arising from boundary value problems ⋮ Vorticity induced by a moving elliptic belt

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