Investigating a hybrid perturbation-Galerkin technique using computer algebra

DOI10.1016/S0747-7171(08)80149-6zbMath0748.65059OpenAlexW1972001454MaRDI QIDQ1186729

Carl M. Andersen, James F. Geer

Publication date: 28 June 1992

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0747-7171(08)80149-6

zbMATH Keywords

convergenceperturbation expansioncomputer algebraradius of convergencequantum eigenvalue problemBubnov- Galerkin methodhybrid perturbation-Galerkin techniquequantum-mechanical one-dimensional anharmonic oscillator

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

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Uses Software

• Mathematica

Cites Work

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• Mixed models and reduction techniques for large-rotation nonlinear problems
• Reduction methods for nonlinear steady-state thermal analysis
• Hybrid analytical technique for nonlinear analysis of structures
• Computerized symbolic manipulation in nonlinear finite element analysis
• Power Series Expansions for the Frequency and Period of the Limit Cycle of the Van Der Pol Equation
• A Hybrid Perturbation-Galerkin Method for Differential Equations Containing a Parameter
• Analysis of a Singularly-Perturbed Linear Two-Point Boundary-Value Problem
• A Hybrid Perturbation Galerkin Technique with Applications to Slender Body Theory
• Studies in Perturbation Theory. IX. Connection Between Various Approaches in the Recent Development—Evaluation of Upper Bounds to Energy Eigenvalues in Schrödinger's Perturbation Theory
• A Hybrid Perturbation-Galerkin Technique That Combines Multiple Expansions

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