Numerical methods for engineers : a programming approach
著者
書誌事項
Numerical methods for engineers : a programming approach
Blackwell Scientific Publications, 1991
- : us
- : pbk
- タイトル別名
-
Numerical methods for engineers
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注記
Distributed in the USA by CRC Press, Inc.
Includes bibliographical references and index
内容説明・目次
- 巻冊次
-
ISBN 9780632027514
内容説明
Based on a lecture course in numerical methods in engineering given to second year undergraduates at the University of Manchester, this text is devoted to the solution of problems using numerical methods and, as such, is relevant to all engineering disciplines at undergraduate level. This text forms a bridge between classical mathematical and heavily computer code-based techniques such as the finite element and boundary element methods. The authors, both respected teachers in this field, have found that existing texts fall short of providing coverage of the range of material needed. For example, few books incorporate methods of weighted residuals in their treatment of the solution of ordinary differential equations, although these methods are central to the understanding of finite element techniques. Futhermore, although many existing texts do now incorporate computer codes, this is not done in a systematic or didactic way. In contrast, the authors propose a philosophy of program-writing based on the use of sub-programs. The computer language employed is FORTRAN 77 (the chosen language of engineering), and so the subprograms are FORTRAN FUNCTIONS and SUBROUTINES.
In this way, the book serves as an introduction to the use of powerful mathematical subroutine libraries. Every aspect of numerical analysis which is described in the book is illustrated by a compact program (there are over 40) which makes use of a simple library. All the FORTRAN programs and subroutines described in the text can be obtained on disc from the publisher. This book is intended for all engineering disciplines at undergraduate level.
目次
- List of programs
- Preface
- Introduction and programming preliminaries
- Linear algebraic equations
- Nonlinear equations
- Eigenvalue equations
- Interpolation and curve fitting
- Numerical integration
- Numerical solutions of ordinary differential equations
- Introduction to partial differential equations.
- 巻冊次
-
: pbk ISBN 9780632027538
内容説明
Based on a lecture course in numerical methods in engineering given to second year undergraduates at the University of Manchester, this text is devoted to the solution of problems using numerical methods and, as such, is relevant to all engineering disciplines at undergraduate level. This text forms a bridge between classical mathematical and heavily computer code -based techniques such as the finite element and boundary element methods. The authors, both respected
目次
- List of programs
- Preface
- Introduction and programming preliminaries
- Linea r algebraic equations
- Nonlinear equations
- Eigenvalue equations
- Interpolation and curve fitting
- Numerical integration
- Numerical solutions of ordinary differential equations
- Introduction to partial differential equations
- Appendices
- 巻冊次
-
: us ISBN 9780849386107
内容説明
Numerical Methods for Engineers: A Programming Approach is devoted to solving engineering problems using numerical methods. It covers all areas of introductory numerical methods and emphasizes techniques of programming in FORTRAN 77, and developing subprograms using FORTRAN functions and subroutines. In this way, the book serves as an introduction to using powerful mathematical subroutine libraries.
Over 40 main programs are provided in the text and all subroutines are listed in the Appendix. Each main program is presented with a sample data-set and output, and all FORTRAN programs and subroutines described in the text can be obtained on disk from the publisher. Numerical Methods for Engineers: A Programming Approach is an excellent choice for undergraduates in all engineering disciplines, providing a much needed bridge between classical mathematics and computer code-based techniques.
目次
List of Programs. Preface. Acknowledgements. INTRODUCTION AND PROGRAMMING PRELIMINARIES. Introduction. Software and Hardware. Mathematical Subroutine Libraries. Functions and Subroutines. Errors. Conclusions. Further Reading. LINEAR ALGEBRAIC EQUATIONS. Introduction. Gaussian Elimination. Equation Solution Using LU Factorization. Equations with Symmetrical Coefficient Matrix. Banded Equations. Compact Storage for Variable Bandwidths. Pivoting. Equations with Prescribed "Variables". Iterative Methods. Gradient Methods. Comparison of Direct and Iterative Methods. Exercises. Further Reading. NONLINEAR EQUATIONS. Introduction. Iterative Substitution. Multiple Roots and Other Difficulties. Interpolation Methods. Extrapolation Methods. Acceleration of Convergence. Systems of Nonlinear Equations. Exercises. Further Reading. EIGENVALUE EQUATIONS. Introduction. Orthogonality and Normalization of Eigenvectors. Solution Methods for Eigenvalue Equations. Vector Iteration. Calculation of Intermediate Eigenvalues-Deflation. The Generalized Eigenvalue Problem Ax=lBx. Transformation Methods. Characteristic Polynomial Methods. Exercises. Further Reading. INTERPOLATION AND CURVE FITTING. Introduction. Interpolating Polynomials. Numerical Differentiation. Curve Fitting. Exercises. Further Reading. NUMERICAL INTEGRATION. Introduction. Newton-Cotes Rules. Gauss-Legendre Rules. Special Integration Rules. Multiple Integrals. Exercises. Further Reading. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS. Introduction. Definitions and Types of Differential Equations. Initial Value Problems. Boundary Value Problems. INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS. Introduction. Some Definitions. First Order Equations. Second Order Equations. Finite Differences in Two Dimensions. Elliptic Systems. Parabolic Systems. Hyperbolic Systems. Exrecises. Further Reading. APPENDIX 1: Alphabetic Description of Subroutine Library. APPENDIX 2: Alphabetic Listing of Subroutine Library in FORTRAN. INDEX.
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