Author : Instytut matematyky (Akademii︠a︡ nauk Ukraïnsʹkoï RSR)
Publisher :
Page : 236 pages
File Size : 10,76 MB
Release : 1967
Category : Differential equations
ISBN :
Author : U.s. air force. foreign technology division
Publisher :
Page : 0 pages
File Size : 29,38 MB
Release : 1968
Category :
ISBN :
Author : T.S.L Radhika
Publisher : CRC Press
Page : 200 pages
File Size : 27,27 MB
Release : 2014-11-21
Category : Mathematics
ISBN : 1466588160
Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles. It covers both well-established techniques and recently developed procedures, including the classical series solut
Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO.
Publisher :
Page : 212 pages
File Size : 15,67 MB
Release : 1967
Category :
ISBN :
Contents: Application of method of small parameter to analysis of hypersonic flow of gas around flat bodies; Influence of hysteresis motor on stability of motion of gyroscope in cardan joint suspension; On numerical solution of three-dimensional boundary value problems of theory of potential by method of sum representations; Concerning the question of stability of motion in one case of the three bodies; Certain questions of asymptotic solution of one operator differential equation; On the influence of random forces on nonlinear oscillatory systems; Sufficient conditions of convergence of method of Yu. D. Sokolov during approximate solution of nonlinear integral equations of type of Hammerstein; On the cauchy problem for equations of higher order with multiple characteristics; On random processes in simple linear delay systems; Random shocks in linear dynamic systems; On adherence of solutions of a linear uniform second order delay differential equation; Substantiation of principle of averaging for differential equations with discontinuous right side; Asymptotic behavior of negative part of spectrum of one-dimensional differential operators; Appearance of theory of potential of double layer and its first applications to solution of certain boundary value problems; On the solution of a type of nonlinear differential equation; On the existence and properties of integral manifold for system of nonlinear delay differential equations with variable coefficients; On nonlinear oscillations of a plate.
Author : W. F. Ames
Publisher : Academic Press
Page : 335 pages
File Size : 19,10 MB
Release : 2014-05-12
Category : Mathematics
ISBN : 1483221504
Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December 27-29, 1965. The sessions are divided into four Symposia: Analytic Methods, Approximate Methods, Numerical Methods, and Applications. Separating 19 lectures into chapters, this book starts with a presentation of the methods of similarity analysis, particularly considering the merits, advantages and disadvantages of the methods. The subsequent chapters describe the fundamental ideas behind the methods for the solution of partial differential equation derived from the theory of dynamic programming and from finite systems of ordinary differential equations. These topics are followed by reviews of the principles to the lubrication approximation and compressible boundary-layer flow computation. The discussion then shifts to several applications of nonlinear partial differential equations, including in electrical problems, two-phase flow, hydrodynamics, and heat transfer. The remaining chapters cover other solution methods for partial differential equations, such as the synergetic approach. This book will prove useful to applied mathematicians, physicists, and engineers.
Author : Hans-Jürgen Reinhardt
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 10,51 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461210801
This book is primarily based on the research done by the Numerical Analysis Group at the Goethe-Universitat in Frankfurt/Main, and on material presented in several graduate courses by the author between 1977 and 1981. It is hoped that the text will be useful for graduate students and for scientists interested in studying a fundamental theoretical analysis of numerical methods along with its application to the most diverse classes of differential and integral equations. The text treats numerous methods for approximating solutions of three classes of problems: (elliptic) boundary-value problems, (hyperbolic and parabolic) initial value problems in partial differential equations, and integral equations of the second kind. The aim is to develop a unifying convergence theory, and thereby prove the convergence of, as well as provide error estimates for, the approximations generated by specific numerical methods. The schemes for numerically solving boundary-value problems are additionally divided into the two categories of finite difference methods and of projection methods for approximating their variational formulations.
Author : Reid
Publisher : Academic Press
Page : 227 pages
File Size : 24,84 MB
Release : 1972-08-22
Category : Computers
ISBN : 0080955959
Riccati Differential Equations
Author : Solomon Grigorʹevich Mikhlin
Publisher :
Page : 328 pages
File Size : 47,96 MB
Release : 1967
Category : Mathematics
ISBN :
The aim of this book is to acquaint the reader with the most important and powerful methods of approximate solution of boundary-value problems (including the Cauchy problem) for differential equations, both ordinary and partial, as well as approximate methods for solution of the most frequently encountered types of integral equations: Fredholm, Volterra and singular one-dimensional. This covers the entire domain of classical applications of mathematical analysis to mechanics, engineering, and mathematical physics.
Author : Daniele Funaro
Publisher : Springer Science & Business Media
Page : 315 pages
File Size : 43,49 MB
Release : 2008-10-04
Category : Science
ISBN : 3540467831
This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods. In the last few decades, there has been a growing interest in this subject. As a matter offact, spectral methods provide a competitive alternative to other standard approximation techniques, for a large variety of problems. Initial ap plications were concerned with the investigation of periodic solutions of boundary value problems using trigonometric polynomials. Subsequently, the analysis was extended to algebraic polynomials. Expansions in orthogonal basis functions were preferred, due to their high accuracy and flexibility in computations. The aim of this book is to present a preliminary mathematical background for be ginners who wish to study and perform numerical experiments, or who wish to improve their skill in order to tackle more specific applications. In addition, it furnishes a com prehensive collection of basic formulas and theorems that are useful for implementations at any level of complexity. We tried to maintain an elementary exposition so that no experience in functional analysis is required.
Author : Valentin F. Zaitsev
Publisher : CRC Press
Page : 815 pages
File Size : 26,97 MB
Release : 2002-10-28
Category : Mathematics
ISBN : 1420035339
Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handboo
