Numerical methods for engineers. (©2006)

• Record Type: Book
• Further Information: Note: D.V. Griffiths, I.M. Smith.
• Other Names: Griffiths, D. V; Smith, I. M (Ian Moffat), 1940-
• Contents: INTRODUCTION AND PROGRAMMING PRELIMINARIES; Introduction; Running Programs; Hardware; External Fortran Sub-Program Libraries; A Simple Fortran Program; Some Simple Fortran Constructs; Intrinsic Functions; User-Supplied Functions and Subroutines; Errors and Accuracy; Graphical Output; Conclusions; ; LINEAR ALGEBRAIC EQUATIONS; Introduction; Gaussian Elimination; Equation Solution Using Factorization; Equations with a Symmetrical Coefficient Matrix; Banded Equations; Compact Storage for Variable Bandwidths; Pivoting; Equations with Prescribed Solutions; Iterative Methods; Gradient Methods; Unsymmetrical Systems; Preconditioning; Comparison of Direct and Iterative Methods; Exercises; ; NONLINEAR EQUATIONS; Introduction; Iterative Substitution; Multiple Roots and Other Difficulties; Interpolation Methods; Extrapolation Methods; Acceleration of Convergence; Systems of Nonlinear Equations; Exercises; ; EIGENVALUE EQUATIONS; Introduction; Vector Iteration; Intermediate Eigenvalues by Deflation; The Generalized Eigenvalue Problem [K] {x} = ?[M] {x}; Transformation Methods; Characteristic Polynomial Methods; Exercises; ; INTERPOLATION AND CURVE FITTING; Introduction; Interpolating Polynomials; Interpolation Using Cubic Spline Functions; Numerical Differentiation; Curve Fitting; Exercises; ; NUMERICAL INTEGRATION; Introduction; Newton-Cotes Rules; Gauss-Legendre Rules; Adaptive Integration Rules; Special Integration Rules; Multiple Integrals; Exercises; ; NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS; Introduction; Definitions and Types of ODE; Initial Value Problems; Boundary Value Problems; Exercises; ; INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS; Introduction; Definitions and Types of PDE; First Order Equations; Second Order Equations; Finite Difference Method; Finite Element Method; Exercises; ; APPENDIX A: Descriptions of Library Subprograms; APPENDIX B: Fortran 95 Listings of Library Subprograms; APPENDIX C: References and Additional Reading
• Edition: 2nd ed
• Publisher Details: Boca Raton, FL : Chapman & Hall/CRC
• Publication Date: 2006
• Copyright Date: 2006
• Extent: 1 online resource (479 pages), illustrations
• Subjects: 620.00151; Engineering mathematics; Numerical analysis; Engineering mathematics; Numerical analysis; Electronic books
• Languages: English
• ISBNs: 9781420010244; 1420010247
• Notes: Note: Includes bibliographical references (pages 469-473) and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.