Numerical Methods For Two Point Boundary Value Pro Blems
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Author |
: Herbert B. Keller |
Publisher |
: Courier Dover Publications |
Total Pages |
: 417 |
Release |
: 2018-11-14 |
ISBN-10 |
: 9780486828343 |
ISBN-13 |
: 0486828344 |
Rating |
: 4/5 (43 Downloads) |
Synopsis Numerical Methods for Two-Point Boundary-Value Problems by : Herbert B. Keller
Elementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.
Author |
: Herbert B. Keller |
Publisher |
: SIAM |
Total Pages |
: 69 |
Release |
: 1976-01-01 |
ISBN-10 |
: 161197044X |
ISBN-13 |
: 9781611970449 |
Rating |
: 4/5 (4X Downloads) |
Synopsis Numerical Solution of Two Point Boundary Value Problems by : Herbert B. Keller
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.
Author |
: Uri M. Ascher |
Publisher |
: SIAM |
Total Pages |
: 620 |
Release |
: 1994-12-01 |
ISBN-10 |
: 1611971233 |
ISBN-13 |
: 9781611971231 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Numerical Solution of Boundary Value Problems for Ordinary Differential Equations by : Uri M. Ascher
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.
Author |
: Herbert B. Keller |
Publisher |
: SIAM |
Total Pages |
: 67 |
Release |
: 1976-01-01 |
ISBN-10 |
: 9780898710212 |
ISBN-13 |
: 0898710219 |
Rating |
: 4/5 (12 Downloads) |
Synopsis Numerical Solution of Two Point Boundary Value Problems by : Herbert B. Keller
Lectures on a unified theory of and practical procedures for the numerical solution of two point boundary-value problems.
Author |
: A.K. Aziz |
Publisher |
: Academic Press |
Total Pages |
: 380 |
Release |
: 2014-05-10 |
ISBN-10 |
: 9781483267999 |
ISBN-13 |
: 1483267997 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations by : A.K. Aziz
Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations covers the proceedings of the 1974 Symposium by the same title, held at the University of Maryland, Baltimore Country Campus. This symposium aims to bring together a number of numerical analysis involved in research in both theoretical and practical aspects of this field. This text is organized into three parts encompassing 15 chapters. Part I reviews the initial and boundary value problems. Part II explores a large number of important results of both theoretical and practical nature of the field, including discussions of the smooth and local interpolant with small K-th derivative, the occurrence and solution of boundary value reaction systems, the posteriori error estimates, and boundary problem solvers for first order systems based on deferred corrections. Part III highlights the practical applications of the boundary value problems, specifically a high-order finite-difference method for the solution of two-point boundary-value problems on a uniform mesh. This book will prove useful to mathematicians, engineers, and physicists.
Author |
: Keller |
Publisher |
: |
Total Pages |
: |
Release |
: 1968-06-01 |
ISBN-10 |
: 0471003042 |
ISBN-13 |
: 9780471003045 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Numerical Methods for Two Point Boundary-Value Pro Blems by : Keller
Author |
: Wen Shen |
Publisher |
: World Scientific |
Total Pages |
: 339 |
Release |
: 2019-08-28 |
ISBN-10 |
: 9789811204432 |
ISBN-13 |
: 9811204438 |
Rating |
: 4/5 (32 Downloads) |
Synopsis Introduction To Numerical Computation, An (Second Edition) by : Wen Shen
This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.
Author |
: Mark H. Holmes |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 248 |
Release |
: 2007-04-05 |
ISBN-10 |
: 9780387681214 |
ISBN-13 |
: 0387681213 |
Rating |
: 4/5 (14 Downloads) |
Synopsis Introduction to Numerical Methods in Differential Equations by : Mark H. Holmes
This book shows how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. The objective is that students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. Includes an extensive collection of exercises, which develop both the analytical and computational aspects of the material. In addition to more than 100 illustrations, the book includes a large collection of supplemental material: exercise sets, MATLAB computer codes for both student and instructor, lecture slides and movies.
Author |
: Stig Larsson |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 263 |
Release |
: 2008-12-05 |
ISBN-10 |
: 9783540887058 |
ISBN-13 |
: 3540887059 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Partial Differential Equations with Numerical Methods by : Stig Larsson
The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.
Author |
: Randall J. LeVeque |
Publisher |
: SIAM |
Total Pages |
: 356 |
Release |
: 2007-01-01 |
ISBN-10 |
: 0898717833 |
ISBN-13 |
: 9780898717839 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Finite Difference Methods for Ordinary and Partial Differential Equations by : Randall J. LeVeque
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.