Spectral Analysis of Hermite Cubic Spline Collocation Systems

DOI10.1137/S0036142997322722zbMath0937.65110OpenAlexW1978383541MaRDI QIDQ4271022

Sun, Weiwei

Publication date: 22 November 1999

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

Full work available at URL: https://doi.org/10.1137/s0036142997322722

zbMATH Keywords

comparison of methodseigenvalue analysisfinite difference methodsspline collocationdifferentiation matrices

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Initial value problems for second-order parabolic equations (35K15) Linear boundary value problems for ordinary differential equations (34B05)

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Uses Software

• ELLPACK
• COLSYS