Difference schemes [E-Book] : an introduction to the underlying theory / S.K. Godunov and V.S. Ryabenkii ; English translation by E.M. Gelbard.
Godunov, S. K.
Riabenkii, V. S.
Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; 1987
Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1 online resource (xvii, 489 p.) : ill.
Studies in mathematics and its applications ; v. 19
Full Text
Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes. This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists. While stressing a mathematically rigorous treatment of model problems, the book also demonstrates the relation between theory and computer experiments, using difference schemes created for practical computations.