Some constructive applications of $Λ^{2}$-representations to integration of PDEs
Volume 74 / 2000
Annales Polonici Mathematici 74 (2000), 261-274
DOI: 10.4064/ap-74-1-261-274
Abstract
Two new applications of $Λ^{2}$-representations of PDEs are presented: 1. Geometric algorithms for numerical integration of PDEs by constructing planimetric discrete nets on the Lobachevsky plane $Λ^{2}$. 2. Employing $Λ^{2}$-representations for the spectral-evolutionary problem for nonlinear PDEs within the inverse scattering problem method.