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9780878916153

Numerical Analysis II Essentials

by
  • ISBN13:

    9780878916153

  • ISBN10:

    0878916156

  • Format: Bound Book
  • Copyright: 2013-03-05
  • Publisher: Dover Publications
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Summary

Covers simultaneous linear systems and matrix methods, differential equations, Fourier transformations, partial differential equations, and Monte Carlo methods.

Table of Contents

Simultaneous Linear Systems and Matrix Methods
82(26)
Matrix Mathematics
82(5)
Gaussian Elimination Methods, Cramer's Rule
87(3)
Pivoting
90(1)
Vector and Matrix Norms
91(3)
Other Types of Matrices
94(2)
Matrix Factorization
96(3)
Eigenvalues and Eigenvectors
99(2)
Iterative Methods
101(7)
Differential Equations
108(32)
The Initial Value Problem
108(2)
One Step Method
110(3)
Sources of Error and Error Control
113(3)
Multistep Methods
116(4)
Predictor- Corrector Methods
120(2)
Systems of Differential Equations
122(3)
Determination of Stability
125(3)
Stiff Differential Equations
128(3)
Boundary Value Problems
131(9)
Fourier Transformations
140(13)
Fourier Series Expansion
140(5)
Properties of Fourier Series
145(3)
Differentiation and Integration of Fourier Series
148(2)
Fourier Transforms
150(3)
Partial Differential Equations
153(9)
Elliptic Partial Differential Equation
153(2)
Parabolic Partial Differential Equation
155(4)
Hyperbolic Partial Differential Equation
159(3)
Monte Carlo Methods
162

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