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Cover Art
PRINTED BOOKS
Author Bhat, Rama B.

Title Numerical analysis in engineering / Rama B. Bhat, Snehashish Chakraverty.

Published Pangbourne : Alpha Science, 2004.

Copies

Location Call No. Status
 UniM ERC  620.001518 BHAT    AVAILABLE
Physical description ix, 320 pages : illustrations ; 25 cm
Bibliography Includes bibliographical references and index.
Contents Chapter 1 Solution of Equations for Engineering Design and Analysis 1 -- 1.2 Taylor's Series Expansion of Functions 1 -- 1.3 Digital Computers 3 -- 1.4 Number Representation: Floating Point and Fixed Point 5 -- 1.5 Algorithms and Flowcharts 6 -- 1.6 Error Considerations 8 -- 1.7 Sequences 11 -- Chapter 2 Numerical Research for Roots of Algebraic and Transcendental Equations 14 -- 2.1 Incremental Search 15 -- 2.2 Bisection Method 18 -- 2.3 Method of False Position 20 -- 2.4 Newton Raphson Method 23 -- 2.5 Modified Newton Raphson Method 26 -- 2.6 Secant Method 28 -- 2.7 Complex Roots of Equations 30 -- 2.8 Practical Application 31 -- Chapter 3 Methods to Solve Linear Simultaneous Equations 34 -- 3.1 Properties of Matrices 34 -- 3.2 Gaussian Elimination 37 -- 3.3 Pivoting Techniques 42 -- 3.4 Gauss-Jordan Method 49 -- 3.5 Matrix Factorization Techniques 53 -- 3.6 Cholesky Method (valid only for matrices which are positive definite) 62 -- 3.7 Norms of Vectors and Matrices 69 -- 3.8 Jacobi Method 74 -- 3.9 Gauss-Seidel Method 76 -- Chapter 4 Function Approximation or Interpolation 78 -- 4.1 Discrete Least Squares Approximation 78 -- 4.2 Least Squares Function Approximation 86 -- 4.3 Interpolation with Divided Differences 90 -- 4.4 Lagrange Polynomials 98 -- 4.5 Cubic Spline Approximation 101 -- Chapter 5 Numerical Integration 115 -- 5.2 Trapezoidal Rule 118 -- 5.3 Simpson's Rule 125 -- 5.4 Newton-Cotes Formulas 128 -- 5.5 Romberg Integration 132 -- 5.6 Gauss Quadrature 139 -- Chapter 6 Numerical Differentiation 149 -- 6.1 Central Differences 149 -- 6.2 Forward Differences 156 -- 6.3 Backward Differences 163 -- 6.4 Error Considerations 172 -- Chapter 7 Matrix Eigenvalue Problems 174 -- 7.1 Gerschgorin Circle Theorem 174 -- 7.2 Characteristic Equation 178 -- 7.3 Power Method 182 -- 7.4 Inverse Power Method 187 -- 7.5 Jacobi's Method 195 -- 7.6 Householder--Q, L Method 204 -- 7.7 Householder--Q, R, Method 215 -- Chapter 8 Solution of Equations for Engineering Design and Analysis 223 -- 8.2 Newton's Method 223 -- Chapter 9 Numerical Solutions of Ordinary Differential Equations 233 -- 9.2 Euler's Method 234 -- 9.3 Higher Order Taylor Methods 237 -- 9.4 Runge-Kutta Methods 239 -- 9.5 Two Step Predictor-Corrector Methods 243 -- 9.6 Milne's Predictor-Simpson's Corrector Method 245 -- 9.7 Hamming's Method 248 -- 9.8 Higher Order Differential Equations and System of Differential Equations 249 -- Chapter 10 Introduction to Partial Differential Equations 254 -- 10.2 Elliptic Partial Differential Equations 255 -- 10.3 Parabolic Partial Differential Equations 257 -- 10.4 Hyperbolic Partial Differential Equations 261 -- Chapter 11 Introduction to the Theory of Linear Vector Spaces 263 -- 11.2 Construction of Orthogonal Polynomials 270 -- 11.3 Boundary Characteristic Orthogonal Polynomials 274 -- Chapter 12 Solution of Boundary Value Problems 276 -- 12.2 Shooting Method 276 -- 12.3 Rayleigh-Ritz Method 283 -- 12.4 Collocation Method 287 -- 12.5 Galerkin's Method 289.
Other author Chakraverty, Snehashish.
Subject Numerical analysis.
Engineering mathematics.
ISBN 1842651218 No price