Quantitative Analysis
Parallel Processing
Numerical Analysis
C++ Multithreading
Python for Excel
Python Utilities
Services
Author
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I.
Basic math.
II.
Pricing and Hedging.
III.
Explicit techniques.
IV.
Data Analysis.
V.
Implementation tools.
1.
Finite differences.
A.
Finite difference basics.
a.
Definitions and main convergence theorem.
b.
Approximations of basic operators.
c.
Stability of general evolution equation.
d.
Spectral analysis of finite difference Laplacian.
B.
One dimensional heat equation.
C.
Two dimensional heat equation.
D.
General techniques for reduction of dimensionality.
E.
Time dependent case.
2.
Gauss-Hermite Integration.
3.
Asymptotic expansions.
4.
Monte-Carlo.
5.
Convex Analysis.
VI.
Basic Math II.
VII.
Implementation tools II.
VIII.
Bibliography
Notation.
Index.
Contents.
Finite difference basics.
a.
Definitions and main convergence theorem.
b.
Approximations of basic operators.
c.
Stability of general evolution equation.
d.
Spectral analysis of finite difference Laplacian.
Notation.
Index.
Contents.
Copyright 2007