Complexity and tractability of the heat equation

Arthur G. Werschulz
In a previous paper, we developed a general framework for establishing tractability and strong tractability for quasilinear multivariate problems in the worst case setting. One important example of such a problem is the solution of the heat equation ut = ∆u − qu in Id × (0,T), where I is the unit inter- val and T is a maximum time value. This problem is to be solved subject to homogeneous Dirichlet boundary conditions, along with...
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