Lecture Notes on Numerical Analysis by Peter J. Olver
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.
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 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.
This note explains the
following topics: IEEE Arithmetic, Root Finding, Systems of equations,
Least-squares approximation, Interpolation, Integration and Ordinary
differential equations.
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.
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.
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