Titlebook: Numerical Mathematics; Alfio Quarteroni,Riccardo Sacco,Fausto Saleri Textbook 20071st edition Springer Science+Business Media New York 200

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書目名稱Numerical Mathematics網(wǎng)絡(luò)公開度學(xué)科排名




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書目名稱Numerical Mathematics讀者反饋學(xué)科排名

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0939-2475 l fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems

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Textbook 20071st editionncluding analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need

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Approximation of Eigenvalues and EigenvectorsIn this chapter we deal with approximations of the eigenvalues and eigen-vectors of a matrix A ∈ ?. Two main classes of numerical methods exist to this purpose, . methods, which compute the . eigen-values of A (that is, those having maximum and minimum module), or . methods, which approximate the whole spectrum of A.

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Orthogonal Polynomials in Approximation TheoryTrigonometric polynomials, as well as other orthogonal polynomials like Legendre’s and Chebyshev’s, are widely employed in approximation theory.

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Two-Point Boundary Value ProblemsThis chapter is devoted to the analysis of approximation methods for two-point boundary value problems for differential equations of elliptic type. Finite differences, finite elements and spectral methods will be considered. A short account is also given on the extension to elliptic boundary value problems in two-dimensional regions.