Abstract
We shall construct an algorithm for solving the difference Cauchy problem in a bounded computational subdomain (for definiteness, in the unit ball) so as to use the lacunas of solutions of the wave equation and of its difference analog in the case of three space variables. The number of arithmetical operations in this algorithm required for passing to the next time level is minimal and does not increase with the number of the level. The results contained in this chapter were obtained in [88].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Ryaben’kii, V.S. (2002). Algorithm for Solving the Cauchy Problem with the Help of Lacunas. In: Method of Difference Potentials and Its Applications. Springer Series in Computational Mathematics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56344-7_21
Download citation
DOI: https://doi.org/10.1007/978-3-642-56344-7_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62715-6
Online ISBN: 978-3-642-56344-7
eBook Packages: Springer Book Archive