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Fundamentals of Scientific Computing [2011]
- 1
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Introduction
- 2
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Mathematical Models
- 3
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Basic Linear Algebra
- 4
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Analysis Tools
- 5
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Elementary Functions
- 6
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The Fourier Transform
- 7
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Polynomial Expansions
- 8
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Least Square Problems
- 9
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Numerical Methods for Differential Equations
- 10
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Finite Difference Methods
- 11
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Finite Element Methods
- 12
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Spectral Methods
- 13
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Numerical Solution of Nonlinear Equations
- 14
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Linear Systems of Equations
- 15
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Wave Propagation
- 16
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Heat Conduction
- 17
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Fluid Dynamics
- 18
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Computers and Programming
- 19
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Further Reading
- 20
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Erratum to: Basic Linear Algebra