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A STUDENT´S GUIDE TO NUMERICAL METHODS
Título:
A STUDENT´S GUIDE TO NUMERICAL METHODS
Subtítulo:
Autor:
HUTCHINSON, I
Editorial:
CAMBRIDGE UNIVERSITY PRESS
Año de edición:
2015
ISBN:
978-1-107-09567-0
Páginas:
221
57,95 €

 

Sinopsis

This concise, plain-language guide for senior undergraduates and graduate students aims to develop intuition, practical skills and an understanding of the framework of numerical methods for the physical sciences and engineering. It provides accessible self-contained explanations of mathematical principles, avoiding intimidating formal proofs. Worked examples and targeted exercises enable the student to master the realities of using numerical techniques for common needs such as solution of ordinary and partial differential equations, fitting experimental data, and simulation using particle and Monte Carlo methods. Topics are carefully selected and structured to build understanding, and illustrate key principles such as: accuracy, stability, order of convergence, iterative refinement, and computational effort estimation. Enrichment sections and in-depth footnotes form a springboard to more advanced material and provide additional background. Whether used for self-study, or as the basis of an accelerated introductory class, this compact textbook provides a thorough grounding in computational physics and engineering.

Uses plain language and a conversational style to explain the foundations of numerical techniques
Includes numerous worked examples and targeted exercises to help students put theories into practice
Focuses on the heart of physical modelling - the solution of partial differential equations



Table 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