{"product_id":"books-method-of-difference-potentials-and-its-applications-by-viktor-s-ryaben-kii","title":"Method of Difference Potentials and Its Applications","description":"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.","brand":"World of Books ","offers":[{"title":"Default Title","offer_id":54426058031377,"sku":null,"price":0.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642627156_357a3fb5-bbb3-4f0f-b97d-a5c89db2aeeb.jpg?v=1787616917","url":"https:\/\/www.worldofbooks.com\/products\/books-method-of-difference-potentials-and-its-applications-by-viktor-s-ryaben-kii","provider":"World of Books ","version":"1.0","type":"link"}