This text includes the following chapters: Introduction to MATLAB,
Root Approximations and Partial Fraction Expansion, Sinusoids and Complex
Numbers, Matrices and Determinants, Review of Differential Equations, Power
Series, Finite Differences and Interpolation, Linear and Parabolic Regression,
Solution of Differential Equations by Numerical Methods, Integration by
Numerical Methods, Difference Equations, The Gamma and Beta Functions, Bessel,
Legendre, and Chebyshev Polynomials.
This PDF covers the following topics related to
Numerical Analysis : Series and Sequences, Integrals as Sums and Derivatives
as Differences, Interpolation, Nonlinear Equations, Methods for Ordinary
Differential Equations, Fourier Analysis, Spectral Interpolation,
Differentiation, Quadrature.
Author(s): Prof. Laurent Demanet, Massachusetts
Institute of Technology
This book
covers the following topics: The Implicit Function Theorem, A Predator-Prey
Model, The Gelfand-Bratu Problem, Numerical Continuation, Following Folds,
Numerical Treatment of Bifurcations, Examples of Bifurcations, Boundary Value
Problems, Orthogonal Collocation , Hopf Bifurcation and Periodic Solutions,
Computing Periodic Solutions, Periodic Orbit Folds , Stable and Unstable
Manifolds.
This note provides the details about the following
topics: Nonlinear equations, Linear Systems, Eigenvalues, Nonlinear systems,
Ordinary Differential Equations, Fourier transforms.
This note explains the following topics: finite difference method
for the Laplacian, Linear algebraic solve, Finite element methods for elliptic
equation and Time-dependent problem.