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On the Convergence of Time‐Discrete Processes
Author(s) -
Bohl E.
Publication year - 1994
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.19940741002
Subject(s) - convergence (economics) , consistency (knowledge bases) , mathematics , function (biology) , boundary (topology) , boundary value problem , argument (complex analysis) , stability (learning theory) , discrete time and continuous time , mathematical analysis , calculus (dental) , computer science , discrete mathematics , statistics , medicine , biochemistry , chemistry , dentistry , evolutionary biology , machine learning , economics , biology , economic growth
We prove a general convergence result for a multistep time‐discrete processunder very mild conditions on the function V. We discuss the application to boundary value‐ and boundary layer problems. Our proof is a straight‐forward argument without any concepts for stability or consistency.