Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...
In this topic, our goal is to utilise and further develop the theory of non-linear PDEs to understand singular phenomena arising in geometry and in the description of the physical world. Particular ...
Multi-parameter Hardy spaces provide a refined framework for analysing functions and operators in settings where multiple scales or dimensions interact simultaneously. This theory extends the ...
A DIFFERENTIAL equation, in its usual form, states an analytical problem with a certain assumption as to the form of the answer. It implies the existence of a dependent variable, capable of being ...
Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...
SIAM Journal on Numerical Analysis, Vol. 42, No. 2 (2005), pp. 599-620 (22 pages) We develop a simple, efficient numerical method of boundary integral type for solving an elliptic partial differential ...
A hybrid collocation method for Volterra integral equations with weakly singular kernels was introduced in [12]. The main purpose of this paper is to study superconvergence properties of the iterated ...
On this page you will find the listing of graduate course descriptions (selected). See course listings for current semester, here. UB Registrar: Register for classes. Course information is subject to ...
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