Physical Sciences → Mathematics → Mathematical Physics
Mathematical and Theoretical Analysis
This cluster of papers explores the applications of generalized functions, infinite and infinitesimal numbers, and non-Archimedean mathematics in various mathematical and physical contexts. It covers topics such as Colombeau algebras, numerical computations, nonlinear models, microlocal analysis, topological structures, algebraic theory, and nonstandard analysis.
37.1K works worldwide257.5K citations
Generalized FunctionsInfinite and Infinitesimal NumbersNon-Archimedean MathematicsColombeau AlgebrasNumerical ComputationsNonlinear ModelsMicrolocal AnalysisTopological StructuresAlgebraic TheoryNonstandard Analysis

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