Sheng Xu

An Introduction to Scientific Computing with MATLAB® and Python Tutorials (eBook, PDF)

• Format: PDF

Produktbeschreibung

This textbook covers essential numerical techniques including basic methods for linear systems, root finding, interpolation, numerical integration and differentiation, least squares and Monte Carlo methods. This book balances the development, implementation, application and analysis of computational ideas and methods.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 397
• Erscheinungstermin: 8. Juni 2022
• Englisch
• ISBN-13: 9781000596540
• Artikelnr.: 63912005

Autorenporträt

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.

Inhaltsangabe

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