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# Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

## Some constructive applications of $Λ^{2}$-representations to integration of PDEs

### Tom 74 / 2000

Annales Polonici Mathematici 74 (2000), 261-274 DOI: 10.4064/ap-74-1-261-274

#### Streszczenie

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.

• A. Popov