Parallel strategies for the step by step tau method

DOI10.1016/S0096-3003(02)00123-6zbMath1028.65078OpenAlexW2005009225MaRDI QIDQ1406079

René Escalante

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00123-6

zbMATH Keywords

numerical resultsParallel computationAiry differential equationAiry's generalized functionLanczos-Tau methodPiecewise polynomial approximationStep by step Tau method

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Linear ordinary differential equations and systems (34A30) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Improving the accuracy of Chebyshev Tau method for nonlinear differential problems ⋮ Segmented tau approximation for test neutral functional differential equations ⋮ Segmented tau approximation for a forward-backward functional differential equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on structural relations between the tau method and the finite element 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
• The Tau method as an analytic tool in the discussion of equivalence results across numerical methods
• Numerical solution of differential eigenvalue problems with an operational approach to the Tau method
• The special functions and their approximations. Vol. I, II
• 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
• Numerical Solution of Stiff and Singularly Perturbed Boundary Value Problems With a Segmented-Adaptive Formulation of the Tau Method
• An error analysis of the tau method for a class of singularly perturbed problems for differential equations
• Tau method approximate solution of highorder differential eigenvalue problems defined in the complex plane, with an application to orr-sommerfeld stability equation
• Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis
• On the numerical solution of two‐point boundary value problems for linear differential equations
• The Tau Method
• Trigonometric Interpolation of Empirical and Analytical Functions
• On the Theory of Thin Elastic Toroidal Shells

This page was built for publication: Parallel strategies for the step by step tau method