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Galerkin methods. --- Sinc-Galerkin methods --- Sinc methods --- Numerical analysis

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"This handbook is essential for solving numerical problems in mathematics, computer science, and engineering. The methods presented are similar to finite elements but more adept at solving analytic problems with singularities over irregularly shaped yet analytically described regions. The author makes sinc methods accessible to potential users by limiting details as to how or why these methods work. From calculus to partial differential and integral equations, the book can be used to approximate almost every type of operation. It includes more than 470 MATLABʼ programs, along with a CD-ROM containing these programs for ease of use"--

517.91 --- Galerkin methods --- Numerical solutions

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"The objective [of this book] is to present the fundamentals of stabilized finite element methods for the analysis of steady and time-dependent convection-diffusion and fluid dynamics problems with an engineering rather than a mathematical bias." -- p. XI.

Finite element method --- Galerkin methods --- Fluid dynamics --- Mathematical models --- Finite element method. --- Galerkin methods. --- Mathematical models. --- Éléments finis, Méthode des --- Fluid dynamics. --- Fluid dynamics - Mathematical models --- Flow

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This monograph requires basic knowledge of the variational theory of elliptic PDE and the techniques used for the analysis of the Finite Element Method. However, all the tools for the analysis of FEM (scaling arguments, finite dimensional estimates in the reference configuration, Piola transforms) are carefully introduced before being used, so that the reader does not need to go over longforgotten textbooks. Readers include: computational mathematicians, numerical analysts, engineers and scientists interested in new and computationally competitive Discontinuous Galerkin methods. The intended audience includes graduate students in computational mathematics, physics, and engineering, since the prerequisites are quite basic for a second year graduate student who has already taken a non necessarily advanced class in the Finite Element method.

Galerkin methods. --- Finite element method. --- Numerical analysis. --- Numerical Analysis. --- Mathematical analysis

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Finite element method --- Fluid dynamics --- Galerkin methods --- Heat --- Mathematical models --- Transmission