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Scientific Computing
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.
- Author
- Jeffrey R. Chasnov
- Publisher
- Hong Kong University of Science and Technology
- Source
- LibreTexts
- License
- CC BY
- Language
- EN
- Category
- Basic Sciences
Contents· 20 sections
- I: Numerical Methods
- 1: IEEE Arithmetic
- 2: Root Finding
- 3: Integration
- 4: Differential Equations
- 5: Linear Algebra
- 6: Finite Difference Approximation
- 7: Iterative Methods
- 8: Interpolation
- 9: Least-Squares Approximation
- II: Dynamical Systems and Chaos
- 10: The Simple Pendulum
- 11: The Damped, Driven Pendulum
- 12: Concepts and Tools
- 13: Pendulum Dynamics
- III: Computational Fluid Dynamics
- 14: The Governing Equations
- 15: Laminar Flow
- 16: Stream Function Vorticity Equations
- 17: Flow Past an Obstacle