Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
This note covers the following topics: Fourier Analysis, Least Squares, Normwise Convergence, The Discrete Fourier Transform, The Fast Fourier Transform, Taylor Series, Contour integration, Laurent series, Chebyshev series, Signal smoothing and root finding, Differentiation and integration, Spectral methods, Ultraspherical spectral methods, Functional analysis, Spectrum, Infinite-dimensional linear algebra, Linear partial differential equations, Laplace's equation, Riemann–Hilbert problems, Matrix-valued Riemann–Hilbert.
Author(s): Sheehan Olver
NAPages
This lecture note covers the following topics: Methods for Solving Nonlinear Problems, Interpolation, Approximations, Numerical Differentiation and Numerical Integration.
Author(s): Doron Levy
127Pages
This lecture note explains the following topics: Computer Arithmetic, Numerical Solution of Scalar Equations, Matrix Algebra, Gaussian Elimination, Inner Products and Norms, Eigenvalues and Singular Values, Iterative Methods for Linear Systems, Numerical Computation of Eigenvalues, Numerical Solution of Algebraic Systems, Numerical Solution of Ordinary Differential Equations, Numerical Solution of the Heat and Wave Equations, Approximation and Interpolation, The Finite Element Method.
Author(s): Peter J. Olver
NAPages
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
391Pages
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
63Pages
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
96Pages
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
88Pages
This note contains the following subtopics such as Numerical Linear Algebra, Solution of Nonlinear Equations, Approximation Theory, Numerical Solution of ODEs and Numerical Solution of PDEs.
Author(s): J. M. McDonough
168Pages
This note explains the following topics: Floating-point arithmetic, Error analysis , Solving quadratics, Computational complexity, IEEE Floating-point Standards, Elementary numerical methods, Simultaneous linear equations, Choleski factorization, Non-linear equations, Quadrature and Numerical software.
Author(s): M.R. O’Donohoe
47Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NAPages
This note explains the following topics: Differential and Difference Equations, Numerical Solution of Differential Equations and Numerical linear algebra.
Author(s): Dennis Deturck and Herbert S. Wilf
125Pages
This note covers the following topics: Approximation and Interpolation, Numerical Quadrature, Direct Methods of Numerical Linear Algebra, Numerical solution of nonlinear systems and optimization, Numerical Solution of Ordinary Differential Equations, Numerical Solution of Partial Differential Equations and e Iterative Methods of Numerical Linear Algebra.
Author(s): Douglas N. Arnold
211Pages
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
15Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NAPages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NAPages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NAPages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NAPages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NAPages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NAPages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NAPages
