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Fundamentals of Scientific Computing [2011]

1
Introduction
2
Mathematical Models
3
Basic Linear Algebra
4
Analysis Tools
5
Elementary Functions
6
The Fourier Transform
7
Polynomial Expansions
8
Least Square Problems
9
Numerical Methods for Differential Equations
10
Finite Difference Methods
11
Finite Element Methods
12
Spectral Methods
13
Numerical Solution of Nonlinear Equations
14
Linear Systems of Equations
15
Wave Propagation
16
Heat Conduction
17
Fluid Dynamics
18
Computers and Programming
19
Further Reading
20
Erratum to: Basic Linear Algebra
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