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Theoretical Numerical Analysis A Functional Analysis Framework /

This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic re...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Atkinson, Kendall (Autor), Han, Weimin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:3rd ed. 2009.
Colección:Texts in Applied Mathematics, 39
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Linear Spaces
  • Linear Operators on Normed Spaces
  • Approximation Theory
  • Fourier Analysis and Wavelets
  • Nonlinear Equations and Their Solution by Iteration
  • Finite Difference Method
  • Sobolev Spaces
  • Weak Formulations of Elliptic Boundary Value Problems
  • The Galerkin Method and Its Variants
  • Finite Element Analysis
  • Elliptic Variational Inequalities and Their Numerical Approximations
  • Numerical Solution of Fredholm Integral Equations of the Second Kind
  • Boundary Integral Equations
  • Multivariable Polynomial Approximations.