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Topological groups. Lie groups --- Algebraic topology --- 51 --- Mathematics --- 51 Mathematics --- Transformation groups --- Congresses --- Algebraic topology - Congresses --- Transformation groups - Congresses
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Topological transformation groups --- Congresses. --- 51 --- -Manifolds (Mathematics) --- Transformation groups --- Mathematics --- Congresses --- -Mathematics --- 51 Mathematics --- -51 Mathematics --- Manifolds (Mathematics) --- Topological transformation groups - Congresses.
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Differential geometry. Global analysis --- Topological dynamics --- Transformation groups --- Differential equations --- Congresses --- -Topological dynamics --- -Transformation groups --- -517.9 --- Groups of transformations --- Group theory --- Topology --- Transformations (Mathematics) --- Dynamics, Topological --- Differentiable dynamical systems --- Equations, Differential --- Bessel functions --- Calculus --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Congresses. --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 517.91 Differential equations --- 517.9 --- 517.91 --- Numerical solutions --- Numerical solutions&delete& --- Systèmes dynamiques --- Systèmes dynamiques --- Topological dynamics - Congresses --- Transformation groups - Congresses --- Differential equations - Congresses --- Equations differentielles
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Graph and model transformations play a central role for visual modeling and model-driven software development. Within the last decade, a mathematical theory of algebraic graph and model transformations has been developed for modeling, analysis, and to show the correctness of transformations. Ulrike Golas extends this theory for more sophisticated applications like the specification of syntax, semantics, and model transformations of complex models. Based on M-adhesive transformation systems, model transformations are successfully analyzed regarding syntactical correctness, completeness, functional behavior, and semantical simulation and correctness. The developed methods and results are applied to the non-trivial problem of the specification of syntax and operational semantics for UML statecharts and a model transformation from statecharts to Petri nets preserving the semantics.
Group theory -- Congresses. --- Harmonic analysis -- Congresses. --- Probabilities -- Congresses. --- Transformation groups -- Congresses. --- Engineering & Applied Sciences --- Computer Science --- Information Technology --- Computer Science (Hardware & Networks) --- Graph grammars. --- Model-driven software architecture. --- MDA (Model-driven software architecture) --- Grammars, Graph --- Computer science. --- Computers. --- Computer Science. --- Theory of Computation. --- Computer Science, general. --- Computer software --- Software architecture --- Formal languages --- Graph theory --- Development --- Information theory. --- Informatics --- Science --- Communication theory --- Communication --- Cybernetics --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Machine theory --- Calculators --- Cyberspace
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