Concise numerical mathematics/

Main Author: Plato, Robert
Other Authors: Le Borne, Richard, Le Borne, Sabine
Format: Book
Language:English
Published: Providence, Rhode Island: American Mathematical Society, 2003
Series:Graduate studies in mathematics ; 57
Subjects:
Table of Contents:
  • Interpolation by polynomials
  • Spline functions
  • The discrete fourier transform and its applications
  • Solution of linear systems of equations
  • Nonlinear systems of equations
  • The numerical integration of functions
  • Explicit one- step methods for initial value problems in ordinary differential equations
  • Multistep methods for initial value problems of ordinary differential equations
  • Boundary value problems for ordinary differential equations
  • Jacobi, Gauss-Seidel and relaxation methods for the solution of linear systems of equations
  • The Conjugate Gradient and GMRES methods
  • Eigenvalue problems
  • Numerical methods for eigenvalue problems
  • Peanoʹs error representation
  • Approximation theory