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 ...
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 paper provides a full exposition of the proportionality coefficients used in two different differential equation models, allowing for a more complete understanding of their meaning in the context ...
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, ...
Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...
Taken concurrently with EGR/MAT/PHY 191. An integrated course that covers the material of PHY 103 and MAT 201 with the emphasis on applications to engineering. Math topics include: vector calculus; ...
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 ...