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 ...

We consider the problem of numerically approximating the solution of an elliptic partial differential equation with random coefficients and homogeneous Dirichlet boundary conditions. We focus on the ...

Observations on nodal and loop analysis that can save a fair amount of scribbling of equations when using Kirchhoff's laws. In a previous Idea for Design, Anshi Chen outlined a method for analyzing ...