Numerical Methods in Engineering with Python 3
Jaan Kiusalaas (Author)
This book is an introduction to numerical methods for students in engineering. It covers solution of equations, interpolation and data fitting, solution of differential equations, eigenvalue problems and optimisation. The algorithms are implemented in Python 3, a high-level programming language that rivals MATLAB® in readability and ease of use. All methods include programs showing how the computer code is utilised in the solution of problems. The book is based on Numerical Methods in Engineering with Python, which used Python 2. This new edition demonstrates the use of Python 3 and includes an introduction to the Python plotting package Matplotlib. This comprehensive book is enhanced by the addition of numerous examples and problems throughout
eBook, English, 2013
Cambridge University Press, Cambridge, 2013
1 online resource (432 pages)
9781139523899, 9781107033856, 1139523899, 1107033853
977491828
Print version:
Preface; 1 Introduction to Python; 1.1 General Information; 1.2 Core Python; 1.3 Functions and Modules; 1.4 Mathematics Modules; 1.5 numpy Module; 1.6 Plotting with matplotlib.pyplot; 1.7 Scoping of Variables; 1.8 Writing and Running Programs; 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; 2.8 Other Methods; 3 Interpolation and Curve Fitting. 3.1 Introduction3.2 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 Zeros of Polynomials; Problem Set 4.2; 4.8 Other Methods; 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 Integration6.1 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; 7.7 Other Methods; 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 Problems9.1 Introduction; 9.2 Jacobi Method; 9.3 Power and Inverse Power Methods; Problem Set 9.1; 9.4 Householder Reduction to Tridiagonal Form; 9.5 Eigenvalues of Symmetric Tridiagonal Matrices; Problem Set 9.2; 9.6 Other Methods; 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; List of Program Modules (by Chapter); Index
Title from publisher's bibliographic system (viewed on 05 Oct 2015)