Student''s Guide to Numerical Methods

The plain language style, worked examples and exercises in this book help students to understand the foundations of computational physics and engineering.

List of contents

Preface; 1. Fitting functions to data; 2. Ordinary differential equations; 3. Two-point boundary conditions; 4. Partial differential equations; 5. Diffusion: parabolic PDEs; 6. Elliptic problems and iterative matrix solution; 7. Fluid dynamics and hyperbolic equations; 8. Boltzmann's equation and its solution; 9. Energy-resolved diffusive transport; 10. Atomistic and particle-in-cell simulation; 11. Monte Carlo techniques; 12. Monte Carlo radiation transport; 13. Next steps; Appendix A. Summary of matrix algebra; Index.

About the author

Ian H. Hutchinson is a plasma physicist and Professor in the School of Engineering at the Massachusetts Institute of Technology where he has been solving physical problems using computers for forty years. A fellow of the American Physical Society and the Institute of Physics, he has won several awards for excellence in teaching at MIT, and is the author of the definitive textbook on making measurements of plasmas, Principles of Plasma Diagnostics (Cambridge University Press, 2002).

Summary

Written for senior undergraduates in all disciplines of physical science and engineering, the plain language style of this concise guide to numerical methods concentrates on developing computational skills and avoids potentially intimidating formal mathematical proofs. Including numerous worked examples and exercises, this textbook explains the practical realities of numerical techniques.

Product details

• Authors: Ian Hutchinson, Ian H. Hutchinson, Ian H. (Massachusetts Institute of Tec Hutchinson, Hutchinson Ian H.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.04.2015
• EAN: 9781107095670
• ISBN: 978-1-107-09567-0
• No. of pages: 221
• Series: Student's Guides
• Subjects: Education and learning > Adult education/adult education classes; Natural sciences, medicine, IT, technology > Physics, astronomy > Miscellaneous; SCIENCE / Physics / Mathematical & Computational, Mathematics, computer science, Maths for scientists, Maths for engineers, Computing & Information Technology, Mathematics & science