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Error Estimates for Galerkin Approximations to the Periodic Schrödinger‐Poisson System
Author(s) -
Bohun S.,
Illner R.,
Lange H.,
Zweifel P. F.
Publication year - 1996
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19960760103
Subject(s) - unit cube , galerkin method , mathematics , approximations of π , poisson distribution , convergence (economics) , schrödinger's cat , mathematical analysis , rate of convergence , approximation error , physics , geometry , statistics , computer science , nonlinear system , quantum mechanics , channel (broadcasting) , economics , economic growth , computer network
We establish convergence rates for a Galerkin approximation to the periodic Schrödinger‐Poisson problem in the unit cube [0, 1] 3 . The error estimates transform into corresponding L ∞ ‐error estimates for the Wigner distribution function.