Method of Difference Potentials and Its Applications

By Viktor S Ryaben'kii

The method of difference potentials (MDP) was proposed in 1]- 8] and sig- nificantly developed in 9]- 101] and some other works. The present book describes the current state of the art in the method of difference potentials and is a revised and essentially supplemented version of the author's first book devoted to this method, which was published by "Nauka" in 1987 100]. This monograph deals with the MDP apparatus and several of its appli- cations, particularly to the following problems: 1. the numerical solution ofinterior and exterior boundary-value problems for systems of partial differential equations; 2. the construction of conditions at the artificial boundary ofthe compu- tational domain, which equivalently replace the equations and conditions at infinity in stationary problems of gas flowpast immersed bodies as well as in some other steady-state problems; 3. the spectral approach to the construction of artificial boundary con- ditions replacing the equations of propagation of physical fields outside the computational domain containing perturbation sources; 4. the construction of artificial boundary conditions on the boundary of the computational domain for numerically solving the scattering problems in large time in a neighborhood of a fixed or a moving scatterer; 5. the statement and solution of stationary mathematical problems of the active shielding of a given subdomain from the influence of perturbation sources located outside the screened subdomain.

• Format: Paperback
• Language: English
• ISBN: 3642627153
• ISBN13: 9783642627156
• Release Date: October 2012
• Publisher: Springer
• Length: 538 Pages
• Weight: 1.71 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"