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.

Scientific Computing Simulations and Modeling Mathematics

Tác giả: Jeffrey R. Chasnov
Nhà xuất bản: Hong Kong University of Science and Technology
Nguồn: LibreTexts
Giấy phép: CC BY
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 20 mục

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