5 edition of Numerical-Analytic Methods in the Theory of Boundary-Value Problems found in the catalog.
January 15, 2001
by World Scientific Publishing Company
Written in English
|The Physical Object|
|Number of Pages||360|
A powerful method for the study of elliptic boundary value problems, capable of further extensive development, is provided for advanced undergraduates or beginning graduate students, as well as mathematicians with an interest in functional analysis and partial differential by: Books shelved as numerical-analysis: Numerical Analysis by Richard L. Burden, Numerical Methods for Engineers by Steven C. Chapra, Scientific Computing w.
This book covers the following topics: The Implicit Function Theorem, A Predator-Prey Model, The Gelfand-Bratu Problem, Numerical Continuation, Following Folds, Numerical Treatment of Bifurcations, Examples of Bifurcations, Boundary Value Problems, Orthogonal Collocation, Hopf Bifurcation and Periodic Solutions. The topics mentioned have also a strong relation to the theory of non-linear boundary value problems. This issue is devoted to non-linear oscillations in a broad sense and will cover the related topics for non-linear systems of differential equations, equations with retarded argument and more general functional differential equations.
On two numerical-analytic methods for the investigation of periodic solutions Article in Periodica Mathematica Hungarica 56(1) March with 26 Reads How we measure 'reads'. Some general problems of Computing techniks of the asymptotic theory of differential equations and constructive methods of finding of the first and highest approximations are presented. The effectiveness of the asymptotic theory is illustrated by some problems from the applied nonlinear analysis.
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This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory -- namely, to establish existence theorems and to build approximation : Miklos Ronto.
This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory — namely, to establish existence theorems and to build approximation solutions.
whatever field you are in, if you want to do some numerical computation, then buy this book. it is the best book on boundary value problems which is an important part in numerical computation, and of course, it is the more difficult part, compared to tht by: A.
Samoilenko and N. Ronto, Numerical-Analytic Methods in the Theory of Boundary-Value Problems for Ordinary Differential Equations [in Russian], Author: M. Filipchuk, Ya. Bigun. He is a co-author of the book Numerical Solutions of Initial Value Problems Using Mathematica. Syed Badiuzzaman Faruque is a Professor in Department of Physics, SUST.
He is a researcher with interest in quantum theory, gravitational physics, material science etc. Analytical Solution Methods for Boundary Value Problems attempts to resolve this issue, using quasi-linearization methods, operational calculus and spatial variable splitting to identify the exact and approximate analytical solutions of three-dimensional non-linear partial differential equations of the first and second order.
The work does so uniquely using all analytical formulas for solving equations of. 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.
Numerical methods for steady-state differential equations. Two-point boundary value problems and elliptic equations. Iterative methods for sparse symmetric and non-symmetric linear systems: conjugate-gradients, preconditioners.
Prerequisite: either AMATHAMATH /MATHor permission of instructor. Offered jointly with MATH 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.
- Hide Excerpt This monograph is an account of ten lectures I presented at the Regional Research Conference on Numerical Solution of Two-Point Boundary Value Problems. Boundary Value Problems Jake Blanchard University of Wisconsin - Madison Spring Case Study solve the boundary value problem shown at the right for File Size: 1MB.
problems by implicit methods, solution of boundary value problems for ordinary and partial dif- ferential equations by any discrete approximation method, construction of splines, and solution of systems of nonlinear algebraic equations represent just a few of the applications of numerical linearFile Size: 1MB.
Numerical-analytic methods in the theory of boundary-value problems. [N I Ronto; A M Samoĭlenko] -- This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs).
Green's Functions and Boundary Value Problems, Third Edition continues the tradition of the two prior editions by providing mathematical techniques for the use of differential and integral equations to tackle important problems in applied mathematics, the physical sciences, and engineering.
BOUNDARY VALUE PROBLEMS The basic theory of boundary value problems for ODE is more subtle than for initial value problems, and we can give only a few highlights of it here.
by BVP. with Aand B square matrices of order 2. These ma- trices A and B are given, along with the right-hand boundary values γ1 and Size: 85KB. ANALYSIS AND NUMERICAL METHODS Neville J. Ford 1, M. Lu sa Morgado 2 Abstract In this paper we consider nonlinear boundary value problems of frac-tional order, 0 methods to determine.
answer is that one has to know the theory for initial-boundary value problems. Rather than trying to eliminate the oscillations by experimenting with diﬀerent kinds of boundary conditions or smoothing techniques, application of the so called energy method or of the more modern and general normal mode analysis, may quickly solve the problem.
Among the numerical-analytic methods, the numerical-analytic successive approx- imations method is widely used in the literature. According to its basic idea, the given BVP is reduced to some odified BVP, built in a special by: 5.
where are functions of class in both variables. The expression on the right-hand side of (4) is understood to mean the boundary value on from inside the domain of the -th order derivative of.
A special case of the Riemann–Hilbert–Poincaré problem, in the case when, is the Riemann–Hilbert problem; Poincaré's problem is also a special formulation of the same problem. Numerical-Analytic Method for Boundary-Value Problems with Parameters in Boundary Conditions Successive Approximations for Problems with One Parameter in Linear Boundary Conditions -- Sufficient Solvability Conditions and Determination of the Initial Value of a Solution of the Boundary-Value Problem with Parameter -- Purchase Computational Methods in Engineering Boundary Value Problems, Volume - 1st Edition.
Print Book & E-Book. ISBNBook Edition: 1. Ovezdurdyev,Numerical-Analytic Methods for the Investigation of Solutions of Two-Point Boundary-Value Problems [in Russian], Author's Abstract of the Candidate-Degree Thesis Kh.classic boundary-value problems, but also to nonstandard boundary-value problems, e.g., boundary-value problems with parameters in boundary conditions or pulse influence.
Another distinctive feature of this book is the development of the idea of possibility and expediency of combining various numerical-analytic methods for the investigation of pe.Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences.
Emphasis is placed on the methods of solution, analysis, and approximation.