Premium
Some remarks on the horizontal line method
Author(s) -
Picard R.,
Leis R.
Publication year - 1980
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670020409
Subject(s) - mathematics , boundary value problem , perturbation (astronomy) , convergence (economics) , mathematical analysis , line (geometry) , initial value problem , calculus (dental) , geometry , physics , medicine , dentistry , quantum mechanics , economics , economic growth
In the following paper a methodological survey with respect to applications of the horizontal line method (Rothe's method) to a class of initial boundary value problems is given. By means of results from abstract perturbation theory, convergence results and error estimates are established for several special initial boundary value problems of mathematical physics.