
- English
- PDF
- Available on iOS & Android
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.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover
- Half-title
- Title page
- Copyright information
- Dedication
- 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 partial differential equations
- 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
- References
- Index