ABSTRACT

The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses the construction of approximate numerical methods and computer algorithms for solving mathematical physics problems. The book also develops mathematical models for obtaining desired solutions in minimal time using direct or iterative difference equations. Mathematical Reviews said it is "well-written [and] an excellent book, with a wealth of mathematical material and techniques."

chapter |40 pages

Preliminaries

chapter |92 pages

Homogeneous Difference Schemes

chapter |62 pages

Difference Schemes for Elliptic Equations

chapter |76 pages

Stability Theory of Difference Schemes

chapter |102 pages

Methods for Solving Grid Equations

chapter |4 pages

Symbols

chapter |4 pages

Concluding Remarks