Numerical methods for engineers with personal computer applications
Presenting a fresh approach which opens each part with sections called "Motivation," "Mathematical Background," and "Orientation", this book intends to deepen our understanding of what has been learned and provides a peek into more advanced methods. Numerous new or revi...
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
New York, NY
McGraw-Hil Educationl
2015
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| Edition: | Seventh edition |
| Subjects: | |
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Table of Contents:
- 1) Mathematical Modeling and Engineering Problem Solving 2) Programming and Software 3) Approximations and Round-Off Errors 4) Truncation Errors and the Taylor Series Part 2 - Roots of Equations 5) Bracketing Methods 6) Open Methods 7) Roots of Polynomials 8) Case Studies: Roots of Equations Part 3 - Linear Algebraic Equations 9) Gauss Elimination 10) LU Decomposition and Matrix Inversion 11) Special Matrices and Gauss-Seidel 12) Case Studies: Linear Algebraic Equations Part 4 - Optimization 13) One-Dimensional Unconstrained Optimization 14) Multidimensional Unconstrained Optimization 15) Constrained Optimization 16) Case Studies: Optimization Part 5 - Curve Fitting 17) Least-Squares Regression 18) Interpolation 19) Fourier Approximation 20) Case Studies: Curve Fitting Part 6 - Numerical Differentiation and Integration 21) Newton-Cotes Integration Formulas 22) Integration of Equations 23) Numerical Differentiation 24) Case Studies: Numerical Integration and Differentiation Part 7 - Ordinary Differential Equations 25) Runge-Kutta Methods 26) Stiffness and Multistep Methods 27) Boundary-Value and Eigenvalue Problems 28) Case Studies: Ordinary Differential Equations Part 8 - Partial Differential Equations 29) Finite Difference: Elliptic Equations 30) Finite Difference: Parabolic Equations 31) Finite-Element Method 32) Case Studies: Partial Differential Equations