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Computational Electronics Numerical Analysis
This note covers the following topics: Numerical Solution of Algebraic Equations, Gauss Elimination Method, LU Decomposition Method, Iterative Methods, Successive Over-Relaxation (SOR) Method.
Author(s): Dragica Vasileska, Associate Professor, Arizona State University
15 Pages 
Lecture Notes on Numerical Analysis of Nonlinear Equations
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.
Author(s): Eusebius Doedel
391 Pages
Introduction to Numerical Methods
This note explains the following topics: IEEE Arithmetic, Root Finding, Systems of equations, Least-squares approximation, Interpolation, Integration and Ordinary differential equations.
Author(s): Jeffrey R. Chasnov
63 Pages
Numerical Analysis Notes by William G. Faris
This note provides the details about the following topics: Nonlinear equations, Linear Systems, Eigenvalues, Nonlinear systems, Ordinary Differential Equations, Fourier transforms.
Author(s): William G. Faris
96 Pages
Lecture notes on Numerical Analysis of Partial Differential Equation
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.
Author(s): Douglas N. Arnold
88 Pages