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On Uniqueness Of Solution And Convergence Of Successive Approximations For Differential Equations
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Book Synopsis On Uniqueness of Solution and Convergence of Successive Approximations for Differential Equations by : Orin Walter Marks
Download or read book On Uniqueness of Solution and Convergence of Successive Approximations for Differential Equations written by Orin Walter Marks and published by . This book was released on 1968 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Uniqueness Theorems for Hyperbolic Differential Equations by : John P. Shanahan
Download or read book On Uniqueness Theorems for Hyperbolic Differential Equations written by John P. Shanahan and published by . This book was released on 1959 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convergence, Approximation, and Differential Equations by : Eugene A. Herman
Download or read book Convergence, Approximation, and Differential Equations written by Eugene A. Herman and published by John Wiley & Sons. This book was released on 1986 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to the teaching of undergraduate level mathematics that includes topics from numerical analysis, calculus and differential equations. It stresses a modern viewpoint, combining both computational and theoretical aspects that will help students use the computer as a daily tool as well as aid them in the understanding of basic theoretical concepts. Numerous examples, applications and exercise sets are also included in the text.
Book Synopsis Some Successive Approximation Methods in Control and Oscillation Theory by Peter L Falb and Jan L de Jong by :
Download or read book Some Successive Approximation Methods in Control and Oscillation Theory by Peter L Falb and Jan L de Jong written by and published by Academic Press. This book was released on 1969 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Book Synopsis Comparison of Solutions and Successive Approximations in the Theory of the Equation D2z/dxdy by : J. Kisyński
Download or read book Comparison of Solutions and Successive Approximations in the Theory of the Equation D2z/dxdy written by J. Kisyński and published by . This book was released on 1970 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Publisher : ISBN 13 :0486821609 Total Pages :705 pages Book Rating :4.4/5 (868 download)
Download or read book written by and published by . This book was released on with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Axially Symmetric Solutions of Elliptic Differential Equations by : Richard C. MacCamy
Download or read book Axially Symmetric Solutions of Elliptic Differential Equations written by Richard C. MacCamy and published by . This book was released on 1958 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: An investigation is made of the representation of solutions of the axially-symmetric elliptic equations. The representations are derived by exploiting the connection between such equations and singular initial value problems for hyperbolic equations. The result is a correspondence between solutions of the elliptic equations and functions of a complex variable. Certain boundary-value problems for the elliptic equations are solved explicitly or semi-explicitly with the aid of these representations.
Book Synopsis Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations by : Ratan Prakash Agarwal
Download or read book Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations written by Ratan Prakash Agarwal and published by World Scientific. This book was released on 1993 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.
Book Synopsis An Iterative Technique for Approximating Solutions to Certain Differential Equations by Truncated Legendre Series by : Robert Platt Heckrotte
Download or read book An Iterative Technique for Approximating Solutions to Certain Differential Equations by Truncated Legendre Series written by Robert Platt Heckrotte and published by . This book was released on 1964 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: An iterative method for obtaining numerical approximations to solutions of ordinary differential equations is presented. It is, essentially, one developed by Picard. The successive approximations necessary for convergence are in the form of truncated Fourier series of Legendre Polynomials. Certain properties of orthogonal functions are necessary for the development of this study. The method employed and proofs of convergence as well as those numerical techniques that are used in effecting the approximate solution of the differential equations are presented. An explanation is made of the steps necessary to prepare a differential equation for the IBM computer program. Six examples of differential equations solved by the method proposed are given and the numerical results obtained are discussed. The appendix contains a listing of the Fortran computer program which accomplished the numerical portion of this study.
Book Synopsis The Qualitative Theory of Ordinary Differential Equations by : Fred Brauer
Download or read book The Qualitative Theory of Ordinary Differential Equations written by Fred Brauer and published by Courier Corporation. This book was released on 2012-12-11 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.
Book Synopsis Numerical Solution of Ordinary Differential Equations by : L. Fox
Download or read book Numerical Solution of Ordinary Differential Equations written by L. Fox and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nearly 20 years ago we produced a treatise (of about the same length as this book) entitled Computing methods for scientists and engineers. It was stated that most computation is performed by workers whose mathematical training stopped somewhere short of the 'professional' level, and that some books are therefore needed which use quite simple mathematics but which nevertheless communicate the essence of the 'numerical sense' which is exhibited by the real computing experts and which is surely needed, at least to some extent, by all who use modern computers and modern numerical software. In that book we treated, at no great length, a variety of computational problems in which the material on ordinary differential equations occupied about 50 pages. At that time it was quite common to find books on numerical analysis, with a little on each topic ofthat field, whereas today we are more likely to see similarly-sized books on each major topic: for example on numerical linear algebra, numerical approximation, numerical solution ofordinary differential equations, numerical solution of partial differential equations, and so on. These are needed because our numerical education and software have improved and because our relevant problems exhibit more variety and more difficulty. Ordinary differential equa tions are obvious candidates for such treatment, and the current book is written in this sense.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1959 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fractional Differential Equations And Inclusions: Classical And Advanced Topics by : Said Abbas
Download or read book Fractional Differential Equations And Inclusions: Classical And Advanced Topics written by Said Abbas and published by World Scientific. This book was released on 2023-02-02 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for various classes of functional differential equations or inclusions involving the Hadamard or Hilfer fractional derivative. Some equations present delay which may be finite, infinite, or state-dependent. Others are subject to impulsive effect which may be fixed or non-instantaneous.Readers will find the book self-contained and unified in presentation. It provides the necessary background material required to go further into the subject and explores the rich research literature in detail. Each chapter concludes with a section devoted to notes and bibliographical remarks and all abstract results are illustrated by examples. The tools used include many classical and modern nonlinear analysis methods such as fixed-point theorems, as well as some notions of Ulam stability, attractivity and the measure of non-compactness as well as the measure of weak noncompactness. It is useful for researchers and graduate students for research, seminars, and advanced graduate courses, in pure and applied mathematics, physics, mechanics, engineering, biology, and all other applied sciences.
Book Synopsis On Existence, Uniqueness, and Numerical Evaluation of Solutions of Ordinary and Hyperbolic Differential Equations by : Joaquin B. Diaz
Download or read book On Existence, Uniqueness, and Numerical Evaluation of Solutions of Ordinary and Hyperbolic Differential Equations written by Joaquin B. Diaz and published by . This book was released on 1960 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability Theory of Differential Equations by : Richard Bellman
Download or read book Stability Theory of Differential Equations written by Richard Bellman and published by Courier Corporation. This book was released on 2008-06-11 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this text introduces the stability theory and asymptotic behavior of solutions of linear and nonlinear differential equations. 1953 edition.
Book Synopsis Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations by : Lakshmikantham
Download or read book Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations written by Lakshmikantham and published by Academic Press. This book was released on 1969 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations
Book Synopsis Iterative Methods and Preconditioners for Systems of Linear Equations by : Gabriele Ciaramella
Download or read book Iterative Methods and Preconditioners for Systems of Linear Equations written by Gabriele Ciaramella and published by SIAM. This book was released on 2022-02-08 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which derives complete convergence estimates for all methods, illustrates and provides MATLAB codes for all methods, and studies and tests all preconditioners first as stationary iterative solvers. This textbook is appropriate for undergraduate and graduate students who want an overview or deeper understanding of iterative methods. Its focus on both analysis and numerical experiments allows the material to be taught with very little preparation, since all the arguments are self-contained, and makes it appropriate for self-study as well. It can be used in courses on iterative methods, Krylov methods and preconditioners, and numerical optimal control. Scientists and engineers interested in new topics and applications will also find the text useful.
