In this paper we consider hyperbolic systems of linear, homogeneous, first order partial differential equations with variable coefficients. We will say that the Cauchy initial value problem for such a ...
A necessary and sufficient condition is given for all hyperoblic difference schemes that use up to nine mesh points to be of second-order accuracy. We also construct a new difference scheme for ...
Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...
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