1st Edition
An Introduction to Scientific Computing with MATLAB® and Python Tutorials
By Sheng Xu
Copyright 2022
397 Pages
59 B/W Illustrations
by
Chapman & Hall
397 Pages
59 B/W Illustrations
by
Chapman & Hall
397 Pages
59 B/W Illustrations
by
Chapman & Hall
Also available as eBook on:
This textbook is written for the first introductory course on scientific computing. It covers elementary numerical methods for linear systems, root finding, interpolation, numerical integration, numerical differentiation, least squares problems, initial value problems and boundary value problems. It includes short Matlab and Python tutorials to quickly get students started on programming. It... Read more
1. Overview of Scientific Computing
2. Taylor’s Theorem
3. Roundoff Errors and Error Propagation
4. Direct Methods for Linear Systems
5. Root Finding for Nonlinear Equations
6. Interpolation
7. Numerical Integration
8. Numerical Differentiation
9. Initial Value Problems and Boundary Value Problems
10. Basic Iterative Methods for Linear Systems
11. Discrete Least Squares Problems
12. Monte Carlo Methods and Parallel Computing
Appendix A. An Introduction of Matlab for Scientific Computing
Appendix B. An Introduction of Python for Scientific Computing
Index
2. Taylor’s Theorem
3. Roundoff Errors and Error Propagation
4. Direct Methods for Linear Systems
5. Root Finding for Nonlinear Equations
6. Interpolation
7. Numerical Integration
8. Numerical Differentiation
9. Initial Value Problems and Boundary Value Problems
10. Basic Iterative Methods for Linear Systems
11. Discrete Least Squares Problems
12. Monte Carlo Methods and Parallel Computing
Appendix A. An Introduction of Matlab for Scientific Computing
Appendix B. An Introduction of Python for Scientific Computing
Index
Biography
Sheng Xu is an Associate Professor of Mathematics at Southern Methodist University in Dallas, TX. His research areas are in the field of fluid mechanics and scientific computing, with specialization in computational fluid dynamics (CFD). He has written a few CFD packages to simulate fluid-solid interactions using the immersed interface method.
