A brief overview of Fornberg-like methods for conformal mapping of simply and multiply connected regions.
A brief review of some application driven fast algorithms for elliptic partial differential equations
Some application driven fast algorithms developed by the author and his collaborators for elliptic partial differential equations are briefly reviewed here. Subsequent use of the ideas behind development of these algorithms for further development of other algorithms some of which are currently in progress is briefly mentioned. Serial and parallel implementation of these algorithms and their applications to some pure and applied problems are also briefly reviewed.
A conforming finite element method with Lagrange multipliers for the biharmonic problem
A Conjugate Gradient Method and a Multigrid Algorithm for Morley' s Finite Element Approximation of the Biharmonic Equation.
A domain decomposition method for approximating the conformal modules of long quadrilaterals.
A fast algorithm for scalar Nevanlinna-Pick interpolation.
A Lower Bound for the de Bruijn-Newman Constant ... .
A mixed finite element method for the biharmonic problem
A Modified Fast Fourier Transform for Polynomial Evaluation and the Jenkins-Traub Algorithm.
A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant .
A new lower bound for the de Bruijn-Newman constant.
A numerical method of matrix spectral factorization
A Potential Method for the Biharmonic Equation.
A power series method for computing singular solutions to nonlinear analytic systems.
A Reliable Argument Principle Algorithm to Find the Number of Zeros of an Analytic Function in a Bounded Domain.
Accelerating the Convergence of Power Series of Certain Entire Functions.
An Improved Calculation of the General Elliptic Integral of the Second Kind in the Neighbourhood of x= 0.
Anwendungen des Fixpunktsatzes für Pseudometrische Räume in der Intervallrechnung.
Approximants de Padé-Hermite. 1ère partie: théorie.
Approximants de Padé-Hermite. 2ème partie: programmation.