Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...
The quadrature method for singular integral equations with Cauchy kernels on the arc (-1,1) is investigated, and a comprehensive theory of this method's convergence in the continuous maximum norm is ...
The classical discontinuous Galerkin method for a general parabolic equation is analyzed. Symmetric error estimates for schemes of arbitrary order are presented. The ...
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