In this paper, we investigate Jacobi pseudospectral method for fourth order problems. We establish some basic results on the Jacobi-Gauss-type interpolations in non-uniformly weighted Sobolev spaces, ...

SIAM Journal on Numerical Analysis, Vol. 51, No. 1 (2013), pp. 137-162 (26 pages) We study the convergence of monotone P1 finite element methods on unstructured meshes for fully nonlinear ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...