This course studies several classes of methods for the numerical solution of partial differential equations in multiple dimensions on structured and unstructured grids. Finite volume methods for ...
Governing equations for two-phase compressible flow with different phase pressures and temperatures are presented, the derivation of which is based on the formalism of thermodynamically compatible ...
The method of lines (MOL) or differential quadrature is one of the few techniques for solving partial differential equations (PDEs), which can be used successfully using computers. In the Numerical ...
Abstract: The tool for numerical solution for the nonlinear partial differential equations of second order in space and time had been decribed. The explicit and implicit difference schemes had been ...
1 Laboratory of Nonlinear Analysis, Vasyl' Stus Donetsk National University, Vinnytsia, Ukraine 2 Department of Applied Analysis, Institut für Mathematik, Humboldt Universität zu Berlin, Berlin, ...
A nonconforming mixed finite element method for nonlinear hyperbolic equations is discussed. Existence and uniqueness of the solution to the discrete problem are proved. Priori estimates of optimal ...
# we need to opt-in explicitly. # See https://ranocha.de/blog/Optimizing_EC_Trixi for further details. The linear hyperbolic diffusion equations in two space ...
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