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Book Numerical Solution of Boundary Value Problems for Ordinary Differential Equations

Download or read book Numerical Solution of Boundary Value Problems for Ordinary Differential Equations written by Uri M. Ascher and published by SIAM. This book was released on 1994-12-01 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.

Book Improperly Posed Boundary Value Problems

Download or read book Improperly Posed Boundary Value Problems written by Alfred Carasso and published by Pitman Publishing. This book was released on 1975 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Approximate Solution of Boundary Value Problems

Download or read book Approximate Solution of Boundary Value Problems written by Walter George Dyer and published by . This book was released on 1952 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Improperly Posed Problems in Partial Differential Equations

Download or read book Improperly Posed Problems in Partial Differential Equations written by L. E. Payne and published by SIAM. This book was released on 1975-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.

Book Approximate Solution of Initial boundary Parabolic Problems by Boundary Value Techniques

Download or read book Approximate Solution of Initial boundary Parabolic Problems by Boundary Value Techniques written by Donald Greenspan and published by . This book was released on 1967 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: A simple, fast numerical boundary value technique is developed for classes of initial-boundary value problems for mildly nonlinear parabolic equations. The method is based on finite difference methods, avoids stability problems, and is applied to several interesting equations, including a nonhomogeneous Burgers equation. (Author).

Book NASA Technical Translation

Download or read book NASA Technical Translation written by United States. National Aeronautics and Space Administration and published by . This book was released on 1972 with total page 1526 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Explicit a Priori Inequalities with Applications to Boundary Value Problems

Download or read book Explicit a Priori Inequalities with Applications to Boundary Value Problems written by V. G. Sigillito and published by Pitman Publishing. This book was released on 1977 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Solution of Two Point Boundary Value Problems

Download or read book Numerical Solution of Two Point Boundary Value Problems written by Herbert B. Keller and published by SIAM. This book was released on 1976-01-01 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems.

Book Computable a Posteriori L subscript Infinity Error Bounds for the Approximate Solution of Two Point Boundary Value Problems

Download or read book Computable a Posteriori L subscript Infinity Error Bounds for the Approximate Solution of Two Point Boundary Value Problems written by Mary Anne McCarthy and published by . This book was released on 1974 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the authors use the general theory of Newton's method for operator equations with functional constraints recently developed by Tapia and the Kantorovich theorem to construct (C sup 1) approximations to the solution and its derivative of the nonlinear two point boundary value problem and computable (L sub infinity) error bounds for both approximations. Several numerical examples for both boundary value and initial value problems are included. (Author).

Book U S Government Research Reports

Download or read book U S Government Research Reports written by and published by . This book was released on 1960 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: