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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 
Bayesian Probabilistic Numerical Methods
Numerical computation underpins almost all of modern scientific and industrial research and development. This book contains below topics, Probabilistic Numerical Methods, DecisionTheoretic Treatment, Numerical Disintegration, Computational Pipelines and PNM, Numerical Experiments, A Proofs, S1 Philosophical Status of the Belief Distribution, S2 Existence of NonRandomised Bayes Rule, S3 Optimal Information A Counterexample, S4 Monte Carlo Methods for Numerical Disintegration, S5 Truncation of the Prior Distribution Proof of Theorem 4.8.
Author(s): Jon Cockayne, Chris Oates, Tim Sullivan
63 Pages
Lecture Notes on Support Preconditioning
This note contains below topics, Motivation and Overview, Iterative KrylovSubspace Solvers, Computing the Cholesky Factorization of Sparse Matrices, Symmetric DiagonallyDominant Matrices and Graphs, Augmented SpanningTree Preconditioners, Linear Algebra Notation and Definitions.
Author(s): Sivan Toledo
81 Pages
Introduction to Numerical Methods
This note explains the following topics, IEEE Arithmetic, Root Finding, Systems of equations, Leastsquares approximation, Interpolation, Integration and Ordinary differential equations.
Author(s): Jeffrey R. Chasnov
63 Pages
Computational Electronics Numerical Analysis
This note covers the following topics, Numerical Solution of Algebraic Equations, Gauss Elimination Method, LU Decomposition Method, Iterative Methods, Successive OverRelaxation SOR Method.
Author(s): Dragica Vasileska, Associate Professor, Arizona State University
15 Pages