Computational Mathematics by Jose Augusto Ferreira
Computational Mathematics by Jose Augusto Ferreira
Computational Mathematics by Jose Augusto Ferreira
This lecture
note explains the following topics: This Numerical Methods for ODEs,
Discretizations for ODEs, The Runge-Kutta Methods, Linear Multistep Methods,
Numerical Methods for PDEs, Tools of Functional Analysis, The Ritz-Galerkin
Method, FDM for Time-Dependent PDES, Finite Difference Methods for Elliptic
Equations, Computational Projects.
This PDF book covers the
following topics related to Computational Mathematics : Introduction to MATLAB,
Algebraic equations and calculus, Differential equations, sums, matrices and
vectors, Loops, conditionals and functions, A simple matrix function.
This lecture
note explains the following topics: This Numerical Methods for ODEs,
Discretizations for ODEs, The Runge-Kutta Methods, Linear Multistep Methods,
Numerical Methods for PDEs, Tools of Functional Analysis, The Ritz-Galerkin
Method, FDM for Time-Dependent PDES, Finite Difference Methods for Elliptic
Equations, Computational Projects.
This
note covers the following topics: Mathematical Modeling, Euler’s Method, Taylor
Series, Taylor Polynomials, Floating-Point Numbers, Normalized Floating-Point
Numbers , MATLAB.
The goal of computational
mathematics, put simply, is to find or develop algorithms that solve
mathematical problems computationally. Topics covered includes: Errors and Error
Propagation, Root Finding, Interpolation, Integration, Discrete Fourier Methods
and Numerical Linear Algebra.
Author(s): H. De Sterck, P. Ullrich, Department of
Applied Mathematics, University of Waterloo