scientific article

zbMath0626.65109MaRDI QIDQ3030190

Kam-Moon Liu, Eduardo L. Ortiz

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

comparison of methodsmethod of linesmultigrid methodboundary integral equation methodvariable coefficientstau methodSteklov eigenvalue problemHelmholtz eigenvalue problemvibrating membrane problem

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Method of lines for boundary value problems involving PDEs (65N40)

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Cites Work

• Numerical solution of partial differential equations with variable coefficients with an operational approach to the Tau method
• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• Step by step tau method. I: Piecewise polynomial approximations
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• Inequalities for membrane and Stekloff eigenvalues
• An Extension of Ortiz' Recursive Formulation of the Tau Method to Certain Linear Systems of Ordinary Differential Equations
• On the convergence of the Tau method for nonlinear differential equations of Riccati's type
• Multigrid Methods for Differential Eigenproblems
• Numerical solution of regular and singular biharmonic problems with the Tau lines method
• An error analysis of the tau method for a class of singularly perturbed problems for differential equations
• Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis
• Bounding Eigenvalues of Elliptic Operators
• On the numerical solution of two‐point boundary value problems for linear differential equations
• The Tau Method
• Trigonometric Interpolation of Empirical and Analytical Functions
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