Interface Problems Using the Unified Transform Method
Jan. 18, 2018
2:30 pm PHG 646
Abstract
Interface problems for partial differential equations are initial
boundary value problems for which the solution of an equation in one
domain prescribes boundary conditions for the equations in adjacent
domains. These types of problems occur widely in applications
including heat transfer, quantum mechanics, and mathematical biology.
These problems, though linear, are often not solvable analytically
using classical approaches. In this talk I present an introduction to
the Unified Transform Method as well as an extension appropriate for
solving interface problems.
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Last modified: April 11 2016 - 18:14:43