
About
Dr. Robert Dylewski, a Professor at the Institute of Mathematics at the University of Zielona Góra, specializes in nonlinear analysis, optimization, and mathematical modeling applied to economic and ecological systems. His research spans theoretical and applied domains, with focus areas in iterative algorithms, combinatorial geometry, and nonlinear wave propagation.
- Key research themes include: nondifferentiable convex optimization, projective methods, Petri nets, energy efficiency, flexible production systems.
- Teaching activities cover optimization methods, decision theory, and operational research fundamentals.
Current work explores relationships between Gaussian and Archimedes-Borchardt algorithms, nonlinear wave equations generalizing Korteweg-de Vries, stochastic solutions for nonlinear PDEs, and geometric partitions in Euclidean space. His mathematical investigations integrate topology, graph theory, and computational methods.
Research fields
Nondifferentiable convex optimizationProjective methodsPetri nets and linear programmingEconomic and ecological aspects of thermal modernizationEnergy efficiency in constructionFlexible production systemsOperational researchOptimization methodsDecision analysis and theoryMultivariate linear modelsStochastic equationsFixed point problemsNonlinear wave propagationCombinatorial geometryIterative algorithmsNonlinear analysis
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