Research Topic
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.
Works
36,121
Citations
253,583
Domain
Physical Sciences
Field
Mathematics
Subfield
Mathematical Physics
OpenAlex ID
T13400
Taxonomy Context
Physical Sciences / Mathematics / Mathematical Physics
Related Topics
Mathematical Dynamics and FractalsHomotopy and Cohomology in Algebraic TopologyAdvanced Operator Algebra ResearchSpectral Theory in Mathematical PhysicsStochastic processes and statistical mechanicsNumerical methods in inverse problemsAdvanced Banach Space TheoryAdvanced Mathematical Physics ProblemsAdvanced Algebra and Geometryadvanced mathematical theoriesAdvanced Mathematical Theories