A Student's Guide to Numerical Methods
eBook - PDF

A Student's Guide to Numerical Methods

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

A Student's Guide to Numerical Methods

About this book

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.

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Yes, you can access A Student's Guide to Numerical Methods by Ian H. Hutchinson in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title page
  4. Copyright information
  5. Dedication
  6. Table of contents
  7. Preface
  8. 1 Fitting functions to data
  9. 2 Ordinary differential equations
  10. 3 Two-point boundary conditions
  11. 4 Partial differential equations
  12. 5 Diffusion. Parabolic partial differential equations
  13. 6 Elliptic problems and iterative matrix solution
  14. 7 Fluid dynamics and hyperbolic equations
  15. 8 Boltzmann’s equation and its solution
  16. 9 Energy-resolved diffusive transport
  17. 10 Atomistic and particle-in-cell simulation
  18. 11 Monte Carlo techniques
  19. 12 Monte Carlo radiation transport
  20. 13 Next steps
  21. Appendix A Summary of matrix algebra
  22. References
  23. Index