A Basic Theorem in the Computation of Ellipsoidal Error Bounds.
A Galerkin method of for singular boundary value problems.
A posteriori error estimation for arbitrary order FEM applied to singularly perturbed one-dimensional reaction-diffusion problems
FEM discretizations of arbitrary order are considered for a singularly perturbed one-dimensional reaction-diffusion problem whose solution exhibits strong layers. A posteriori error bounds of interpolation type are derived in the maximum norm. An adaptive algorithm is devised to resolve the boundary layers. Numerical experiments complement our theoretical results.
A spectral regularization method for a Cauchy problem of the modified Helmholtz equation.
Accurate computation of higher Sturm-Liouville eigenvalues.
An algorithm for the numerical solution of differential equations of fractional order.
Asymptotic Error Estimation for One-Step Methods Based on Quadrature.