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