Sinc Methods for Quadrature and Differential Equations

Description

Here is an elementary development of the Sinc-Galerkin method with the focal point being ordinary and partial differential equations. This is the first book to explain this powerful computational method for treating differential equations. These methods are an alternative to finite difference and finite element schemes, and are especially adaptable to problems with singular solutions. The text is written to facilitate easy implementation of the theory into operating numerical code. The authors' use of differential equations as a backdrop for the presentation of the material allows them to present a number of the applications of the sinc method. Many of these applications are useful in numerical processes of interest quite independent of differential equations. Specifically, numerical interpolation and quadrature, while fundamental to the Galerkin development, are useful in their own right.

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1. Ebooks list page : 2013
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3. Computer Methods for Ordinary Differential Equations and Differential Algebraic Equations
4. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
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6. Partial Differential Equations V: Asymptotic Methods for Partial Differential Equations
7. Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods
8. Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods
9. Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods
10. Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods (Pure and Applied Mathem
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14. Meshfree Methods for Partial Differential Equations II
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