Recent Advances in Numerical Analysis
Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, May 22-24, 1978
Published on 10. May 2014
282 pages
978-1-4832-6711-1 (ISBN)
Description
Recent Advances in Numerical Analysis provides information pertinent to the developments in numerical analysis. This book covers a variety of topics, including positive functions, Sobolev spaces, computing paths, partial differential equations, and perturbation theory. Organized into 12 chapters, this book begins with an overview of stability conditions for numerical methods that can be expressed in the form that some associated function is positive. This text then examines the polynomial approximation theory having applications to finite element Galerkin methods. Other chapters consider the numerical condition of polynomials by examining three particular problem areas, namely, the representation of polynomials, algebraic equations, and the problem of orthogonalization. This book discusses as well a general theory that leads to a systematic way to prepare the initial data. The final chapter deals with the derivation of the Kronecker canonical form. This book is a valuable resource for applied mathematicians, numerical analysts, physicists, engineers, and research workers.
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Carl De Boor | Gene H. Golub
Recent Advances in Numerical Analysis
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12/1978
Academic Press
€53.32
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Content
¿ContributorsPrefacePositive Functions and Some Applications to Stability Questions for Numerical MethodsConstructive Polynomial Approximation in Sobolev SpacesQuestions of Numerical Condition Related to PolynomialsGlobal Homotopies and Newton MethodsProblems with Different Time ScalesAccuracy and Resolution in the Computation of Solutions of Linear and Nonlinear EquationsFinite Element Approximations to the One-Dimensional Stefan ProblemThe Hodie Method and Its Performance for Solving Elliptic Partial Differential EquationsSolving ODE's with Discrete Data in SPEAKEASYPerturbation Theory for the Generalized Eigenvalue ProblemSome Remarks on Good, Simple, and Optimal Quadrature FormulasLinear Differential Equations and Kronecker's Canonical FormIndex
