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Author : Peter Henrici
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.:/5 (44 download)
Download or read book Discrete Variable Methods in Ordinary Differential Equations written by Peter Henrici and published by John Wiley & Sons. This book was released on 1962 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Saul Dushman
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)
Download or read book Discrete Variable Methods in Ordinary Differential Equations written by Saul Dushman and published by . This book was released on 1962 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Henrici (matematik.)
Publisher :
ISBN 13 :
Total Pages : 407 pages
Book Rating : 4.:/5 (44 download)
Download or read book Discrete variable methods in ordinary differential equations written by Peter Henrici (matematik.) and published by . This book was released on 1968 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter HENRICI (Professor at the Eidgenossische Technische Hochschule Zurich.)
Publisher :
ISBN 13 :
Total Pages : 407 pages
Book Rating : 4.:/5 (559 download)
Download or read book Discrete Variable Methods in Ordinary Differential Equations written by Peter HENRICI (Professor at the Eidgenossische Technische Hochschule Zurich.) and published by . This book was released on 1962 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Randall J. LeVeque
Publisher : SIAM
ISBN 13 : 9780898717839
Total Pages : 356 pages
Book Rating : 4.7/5 (178 download)
Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
Author : Sylvia Lynn Henderso
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (116 download)
Download or read book The Absolute Stability of Some Discrete Variable Methods in Ordinary Differential Equations written by Sylvia Lynn Henderso and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Taketomo Mitsui
Publisher : World Scientific
ISBN 13 : 9814500569
Total Pages : 240 pages
Book Rating : 4.8/5 (145 download)
Download or read book Numerical Analysis Of Ordinary Differential Equations And Its Applications written by Taketomo Mitsui and published by World Scientific. This book was released on 1995-10-12 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects original articles on numerical analysis of ordinary differential equations and its applications. Some of the topics covered in this volume are: discrete variable methods, Runge-Kutta methods, linear multistep methods, stability analysis, parallel implementation, self-validating numerical methods, analysis of nonlinear oscillation by numerical means, differential-algebraic and delay-differential equations, and stochastic initial value problems.
Author : Hans J. Stetter
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (227 download)
Download or read book Stability Regions of Discrete Variable Methods for Ordinary Differential Equations written by Hans J. Stetter and published by . This book was released on 1967 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of strong stability is the following: The effect of a perturbation in the finite-difference equation should not be worse than the effect of a corresponding perturbation in the differential equation to be solved numerically. For a given discretization scheme, a one-parameter family of regions in the complex domain is defined which permits to test for a given system of differential equations and a given stepsize whether strong stability prevails or not. Furthermore the shapes and sizes of the regions permit a comparison between the stability properties of various schemes. In the present report, a particular effort has been made to investigate the influences of the various alternatives in the algorithmic execution of a predictor-corrector method. The results are displayed in a large number of plots.
Author : Taketomo Mitsui
Publisher : World Scientific
ISBN 13 : 9789810222291
Total Pages : 244 pages
Book Rating : 4.2/5 (222 download)
Download or read book Numerical Analysis of Ordinary Differential Equations and Its Applications written by Taketomo Mitsui and published by World Scientific. This book was released on 1995 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects original articles on numerical analysis of ordinary differential equations and its applications. Some of the topics covered in this volume are: discrete variable methods, Runge-Kutta methods, linear multistep methods, stability analysis, parallel implementation, self-validating numerical methods, analysis of nonlinear oscillation by numerical means, differential-algebraic and delay-differential equations, and stochastic initial value problems.
Author : Taketomo Mitsui
Publisher : Springer Nature
ISBN 13 : 9811992630
Total Pages : 118 pages
Book Rating : 4.8/5 (119 download)
Download or read book Numerical Analysis of Ordinary and Delay Differential Equations written by Taketomo Mitsui and published by Springer Nature. This book was released on 2023-05-23 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations. Experts in the same fields can also learn about the recent developments in numerical analysis of such differential systems. Ordinary differential equations (ODEs) provide a strong mathematical tool to express a wide variety of phenomena in science and engineering. Along with its own significance, one of the powerful directions toward which ODEs extend is to incorporate an unknown function with delayed argument. This is called delay differential equations (DDEs), which often appear in mathematical modelling of biology, demography, epidemiology, and control theory. In some cases, the solution of a differential equation can be obtained by algebraic combinations of known mathematical functions. In many practical cases, however, such a solution is quite difficult or unavailable, and numerical approximations are called for. Modern development of computers accelerates the situation and, moreover, launches more possibilities of numerical means. Henceforth, the knowledge and expertise of the numerical solution of differential equations becomes a requirement in broad areas of science and engineering. One might think that a well-organized software package such as MATLAB serves much the same solution. In a sense, this is true; but it must be kept in mind that blind employment of software packages misleads the user. The gist of numerical solution of differential equations still must be learned. The present book is intended to provide the essence of numerical solutions of ordinary differential equations as well as of delay differential equations. Particularly, the authors noted that there are still few concise textbooks of delay differential equations, and then they set about filling the gap through descriptions as transparent as possible. Major algorithms of numerical solution are clearly described in this book. The stability of solutions of ODEs and DDEs is crucial as well. The book introduces the asymptotic stability of analytical and numerical solutions and provides a practical way to analyze their stability by employing a theory of complex functions.
Author : Peter Henrici
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.3/5 (91 download)
Download or read book Error Propagation for Difference Methods written by Peter Henrici and published by . This book was released on 1963 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: The presence book is a sequel and companion to the earlier work entitled: Discrete variable methods in ordinary differential equations, Wiley, 1962.
Author : Hans J. Stetter
Publisher : Springer Science & Business Media
ISBN 13 : 3642654711
Total Pages : 407 pages
Book Rating : 4.6/5 (426 download)
Download or read book Analysis of Discretization Methods for Ordinary Differential Equations written by Hans J. Stetter and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the fundamental role of differential equations in science and engineering it has long been a basic task of numerical analysts to generate numerical values of solutions to differential equations. Nearly all approaches to this task involve a "finitization" of the original differential equation problem, usually by a projection into a finite-dimensional space. By far the most popular of these finitization processes consists of a reduction to a difference equation problem for functions which take values only on a grid of argument points. Although some of these finite difference methods have been known for a long time, their wide applica bility and great efficiency came to light only with the spread of electronic computers. This in tum strongly stimulated research on the properties and practical use of finite-difference methods. While the theory or partial differential equations and their discrete analogues is a very hard subject, and progress is consequently slow, the initial value problem for a system of first order ordinary differential equations lends itself so naturally to discretization that hundreds of numerical analysts have felt inspired to invent an ever-increasing number of finite-difference methods for its solution. For about 15 years, there has hardly been an issue of a numerical journal without new results of this kind; but clearly the vast majority of these methods have just been variations of a few basic themes. In this situation, the classical text book by P.
Author : Peter Henrici
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.3/5 (91 download)
Download or read book Discrete Variable Methods in Ordinary Differential Equations written by Peter Henrici and published by John Wiley & Sons. This book was released on 1962 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daisuke Furihata
Publisher : CRC Press
ISBN 13 : 1420094467
Total Pages : 376 pages
Book Rating : 4.4/5 (2 download)
Download or read book Discrete Variational Derivative Method written by Daisuke Furihata and published by CRC Press. This book was released on 2010-12-09 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of "structure-preserving num
Author : L.F. Shampine
Publisher : Routledge
ISBN 13 : 1351427555
Total Pages : 632 pages
Book Rating : 4.3/5 (514 download)
Download or read book Numerical Solution of Ordinary Differential Equations written by L.F. Shampine and published by Routledge. This book was released on 2018-10-24 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new work is an introduction to the numerical solution of the initial value problem for a system of ordinary differential equations. The first three chapters are general in nature, and chapters 4 through 8 derive the basic numerical methods, prove their convergence, study their stability and consider how to implement them effectively. The book focuses on the most important methods in practice and develops them fully, uses examples throughout, and emphasizes practical problem-solving methods.
Author : Zdzislaw Jackiewicz
Publisher : John Wiley & Sons
ISBN 13 : 0470522151
Total Pages : 500 pages
Book Rating : 4.4/5 (75 download)
Download or read book General Linear Methods for Ordinary Differential Equations written by Zdzislaw Jackiewicz and published by John Wiley & Sons. This book was released on 2009-08-14 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn to develop numerical methods for ordinary differential equations General Linear Methods for Ordinary Differential Equations fills a gap in the existing literature by presenting a comprehensive and up-to-date collection of recent advances and developments in the field. This book provides modern coverage of the theory, construction, and implementation of both classical and modern general linear methods for solving ordinary differential equations as they apply to a variety of related areas, including mathematics, applied science, and engineering. The author provides the theoretical foundation for understanding basic concepts and presents a short introduction to ordinary differential equations that encompasses the related concepts of existence and uniqueness theory, stability theory, and stiff differential equations and systems. In addition, a thorough presentation of general linear methods explores relevant subtopics such as pre-consistency, consistency, stage-consistency, zero stability, convergence, order- and stage-order conditions, local discretization error, and linear stability theory. Subsequent chapters feature coverage of: Differential equations and systems Introduction to general linear methods (GLMs) Diagonally implicit multistage integration methods (DIMSIMs) Implementation of DIMSIMs Two-step Runge-Kutta (TSRK) methods Implementation of TSRK methods GLMs with inherent Runge-Kutta stability (IRKS) Implementation of GLMs with IRKS General Linear Methods for Ordinary Differential Equations is an excellent book for courses on numerical ordinary differential equations at the upper-undergraduate and graduate levels. It is also a useful reference for academic and research professionals in the fields of computational and applied mathematics, computational physics, civil and chemical engineering, chemistry, and the life sciences.
Author : Morris Tenenbaum
Publisher : Courier Corporation
ISBN 13 : 0486649407
Total Pages : 852 pages
Book Rating : 4.4/5 (866 download)
Download or read book Ordinary Differential Equations written by Morris Tenenbaum and published by Courier Corporation. This book was released on 1985-10-01 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
