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 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.
This note explains the
following topics: IEEE Arithmetic, Root Finding, Systems of equations,
Least-squares approximation, Interpolation, Integration and Ordinary
differential equations.
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.