The study of differential-difference equations and boundary value problems occupies an essential niche in applied mathematics, linking the theory of differential operators with discrete translation ...

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...

The course is devoted to analytical methods for partial differential equations of mathematical physics. Review of separation of variables. Laplace Equation: potential theory, eigenfunction expansions, ...

S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, Yverdon (1993). A. Yakar, and H. Kutlay, A ...

This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

Researcher at the Cluster of Excellence Mathematics finds an approach that can be used flexibly Whether it’s physical phenomena, share prices or climate models – many dynamic processes in our world ...

Partial differential equations can describe everything from planetary motion to plate tectonics, but they’re notoriously hard to solve. Unless you’re a physicist or an engineer, there really isn’t ...

Digital prototyping has become an essential tool to speed design cycles. It lets designers replace expensive hardware prototypes with virtual models to predict system behavior, providing insight into ...