Scientific Computing

by Jeffrey R. Chasnov

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These notes for Scientific Computing is primarily for Math majors and supposes no previous knowledge of numerical analysis or methods. This course consists of both numerical methods and computational physics. The numerical methods content includes standard topics such as IEEE arithmetic, root finding, linear algebra, interpolation and least-squares, integration, differentiation, and differential equations.

Description from LibreTexts.

Publisher
Hong Kong University of Science and Technology
Subjects
Mathematics, Scientific Computing Simulations and Modeling
Licence
CC BY 3.0, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. Preface
  7. I: Numerical Methods
  8. 1: IEEE Arithmetic
  9. 2: Root Finding
  10. 3: Integration
  11. 4: Differential Equations
  12. 5: Linear Algebra
  13. 6: Finite Difference Approximation
  14. 7: Iterative Methods
  15. 8: Interpolation
  16. 9: Least-Squares Approximation
  17. II: Dynamical Systems and Chaos
  18. 10: The Simple Pendulum
  19. 11: The Damped, Driven Pendulum
  20. 12: Concepts and Tools
  21. 13: Pendulum Dynamics
  22. III: Computational Fluid Dynamics
  23. 14: The Governing Equations
  24. 15: Laminar Flow
  25. 16: Stream Function, Vorticity Equations
  26. 17: Flow Past an Obstacle
  27. Back Matter
  28. Index
  29. Detailed Licensing