Numerical methods in engineering with MATLAB / Jaan Kiusalaas.
Material type:
TextPublication details: Cambridge : Cambridge University Press, 2016.Edition: Third editionDescription: x, 417 pages : illustrations ; 26 cmISBN: - 9781107120570 (hardback : alk. paper)
- 620.001518 23 K62
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 620.001518 K62 (Browse shelf(Opens below)) | Available | 138009 |
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| 620.0015154 Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics | 620.00151564 K81 Applied calculus of variations for engineers / | 620.001518 K62 Numerical methods in engineering with MATLAB | 620.001518 K62 Numerical methods in engineering with MATLAB / | 620.00151825 C456 Introduction to finite elements in engineering/ | 620.0015194 M712 Fundamentals of engineering numerical analysis | 620.00153012 Ah286 Engineering quantum mechanics |
Includes index.
Machine generated contents note: 1. Introduction to MATLAB --
1.1. Quick Overview --
1.2. Data Types and Variables --
1.3. Operators --
1.4. Flow Control --
1.5. Functions --
1.6. Input/Output --
1.7. Array Manipulation --
1.8. Writing and Running Programs --
1.9. Plotting --
2. Systems of Linear Algebraic Equations --
2.1. Introduction --
2.2. Gauss Elimination Method --
2.3. LU Decomposition Methods --
Problem Set 2.1 --
2.4. Symmetric and Banded Coefficient Matrices --
2.5. Pivoting --
Problem Set 2.2 --
2.6. Matrix Inversion --
2.7. Iterative Methods --
Problem Set 2.3 --
3. Interpolation and Curve Fitting --
3.1. Introduction --
3.2. Polynomial Interpolation --
3.3. Interpolation with Cubic Spline --
Problem Set 3.1 --
3.4. Least Squares Fit --
Problem Set 3.2 --
4. Roots of Equations --
4.1. Introduction --
4.2. Incremental Search Method --
4.3. Method of Bisection --
4.4. Methods Based on Linear Interpolation --
4.5. Newton-Raphson Method --
4.6. Systems of Equations --
Problem Set 4.1 --
4.7. Zeroes of Polynomials --
Problem Set 4.2 --
5. Numerical Differentiation --
5.1. Introduction --
5.2. Finite Difference Approximations --
5.3. Richardson Extrapolation --
5.4. Derivatives by Interpolation --
Problem Set 5.1 --
6. Numerical Integration --
6.1. Introduction --
6.2. Newton-Cotes Formulas --
6.3. Romberg Integration --
Problem Set 6.1 --
6.4. Gaussian Integration --
Problem Set 6.2 --
6.5. Multiple Integrals --
Problem Set 6.3 --
7. Initial Value Problems --
7.1. Introduction --
7.2. Euler's Method --
7.3. Runge-Kutta Methods --
Problem Set 7.1 --
7.4. Stability and Stiffness --
7.5. Adaptive Runge-Kutta Method --
7.6. Bulirsch-Stoer Method --
Problem Set 7.2 --
8. Two-Point Boundary Value Problems --
8.1. Introduction --
8.2. Shooting Method --
Problem Set 8.1 --
8.3. Finite Difference Method --
Problem Set 8.2 --
9. Symmetric Matrix Eigenvalue Problems --
9.1. Introduction --
9.2. Jacobi Method --
9.3. Inverse Power and Power Methods --
Problem Set 9.1 --
9.4. Householder Reduction to Tridiagonal Form --
9.5. Eigenvalues of Symmetric Tridiagonal Matrices --
Problem Set 9.2 --
10. Introduction to Optimization --
10.1. Introduction --
10.2. Minimization along a Line --
10.3. Powell's Method --
10.4. Downhill Simplex Method --
Problem Set 10.1 --
Appendices --
A1. Taylor Series --
A2. Matrix Algebra
This book describes and evaluates a range of numerical methods with an emphasis on problem solving.
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