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Numerical Methods and Analysis for Engineers

Numerical Methods and Analysis for Engineers

Numerical Methods and Analysis for Engineers

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Numerical Complex Analysis

Numerical Complex Analysis

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.

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Lecture Notes on Numerical Analysis by Peter J. Olver

Lecture Notes on Numerical Analysis by Peter J. Olver

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.

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Introduction to Numerical Methods

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.

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Lecture notes on Numerical Analysis of Partial Differential Equation

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.

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Lectures on basic computational numerical analysis (PDF 168P)

Lectures on basic computational numerical analysis (PDF 168P)

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.

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Numerical Analysis I (PDF 47P)

Numerical Analysis I (PDF 47P)

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.

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Lectures on Numerical Analysis

Lectures on Numerical Analysis

This note explains the following topics: Differential and Difference Equations, Numerical Solution of Differential Equations and Numerical linear algebra.

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A Concise Introduction to Numerical Analysis Douglas N. Arnold

A Concise Introduction to Numerical Analysis Douglas N. Arnold

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.

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Computational Electronics Numerical Analysis

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.

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Numerical Methods Course Notes

Numerical Methods Course Notes

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Numerical Methods

Numerical Methods

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Numerical Analysis Notes

Numerical Analysis Notes

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Numerical Methods for Ordinary Differential Equations

Numerical Methods for Ordinary Differential Equations

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Fundamental Numerical Methods and Data Analysis

Fundamental Numerical Methods and Data Analysis

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