INVESTIGADORES
DE LEO Mariano Fernando
artículos
Título:
On the numerical solution of certain nonlinear systems arising in semilinear parabolic PDEs.
Autor/es:
M. DE LEO; E. DRATMAN; G. MATERA
Revista:
Anales Jaiio Subserie Simposio Argentino de Tecnología
Editorial:
Sadio (Sociedad Argentina de Informática e Investigación Operativa)
Referencias:
Lugar: Buenos Aires; Año: 2004 vol. 33 p. 1 - 5
ISSN:
1666-1109
Resumen:
We consider a family of polynomial systems which arises in the analysis of the stationary solutions of a standard discretization of certain semilinear second order parabolicpartial differential equations. We prove that this family is wellconditioned and exhibit a polynomial time homotopy continuation method solving any member of this family,significantly improving the exponential behaviour of all known general algorithms solving a generic instance of this family.
