On orthogonal polynomial approximation with the dimensional expanding technique for precise time integration in transient analysis

DOI10.1016/j.cnsns.2006.03.007zbMath1118.65078OpenAlexW2083160487MaRDI QIDQ2373536

Yizhen Huang, Yangjing Long

Publication date: 11 July 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.03.007

zbMATH Keywords

numerical examplesHermite approximationLegendre approximationChebyshev approximationLaguerre approximation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

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• On precise integration method.
• On a new time integration method for solving time dependent partial differential equations
• A Precise Integration Algorithm for Matrix Riccati Differential Equations
• A high precision direct integration scheme for structures subjected to transient dynamic loading

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