Dynamical Systems Method and Applications: Theoretical Developments and Numerical Examples
Alexander G. Ramm, Nguyen S. Hoang, "Dynamical Systems Method and Applications: Theoretical Developments and Numerical Examples"
English | ISBN: 1118024281 | 2012 | 576 pages | PDF | 31 MB
English | ISBN: 1118024281 | 2012 | 576 pages | PDF | 31 MB
Dynamical Systems Method (DSM) is a powerful general method for solving operator equations. These equations can be linear or nonlinear, well–posed or ill–posed. The book presents a systematic development of the DSM, and theoretical results are illustrated by a number of numerical examples, which are of independent interest. These include: stable differentiation of noisy data, stable solution of ill–conditioned linear algebraic systems, stable solution of Fredholm and Volterra integral equations of the first kind, stable inversion of the Laplace transform from the real axis, solution of nonlinear integral equations, and other examples.