On the strong stability of operator-difference schemes in time-integral norms.
On the Structure of Error Estimates for Finite-Difference Methods.
On the structure of quadratic congruential sequences.
On the subspace projected approximate matrix method
We provide a comparative study of the Subspace Projected Approximate Matrix method, abbreviated SPAM, which is a fairly recent iterative method of computing a few eigenvalues of a Hermitian matrix . It falls in the category of inner-outer iteration methods and aims to reduce the costs of matrix-vector products with within its inner iteration. This is done by choosing an approximation of , and then, based on both and , to define a sequence of matrices that increasingly better approximate...
On the super-approximation property of Galerkin's method with finite elements.
On the tangential velocity arising in a crystalline approximation of evolving plane curves
In a crystalline algorithm, a tangential velocity is used implicitly. In this short note, it is specified for the case of evolving plane curves, and is characterized by using the intrinsic heat equation.
On the third order nonlinear ordinary differential equation
On the trace characterization of the joint spectral radius.
On the transfer of conditions as applied to solving two-dimensional boundary value problems
On the transformation theory of ordinary second-order linear symmetric differential equations
On the Transport-Diffusion Algorithm and Its Applications to the NavierStokes Equations.
On the trapezoid quadrature formula and applications
On the two dimensional spline interpolation of Hermite-type.
On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals.
On the Uniform Power-Boundedness of a Family of Matrices and the applications to One-Leg and Linear Multistep Methods.
On the Unilateral Contact Between Membranes. Part 1: Finite Element Discretization and Mixed Reformulation
The contact between two membranes can be described by a system of variational inequalities, where the unknowns are the displacements of the membranes and the action of a membrane on the other one. We first perform the analysis of this system. We then propose a discretization, where the displacements are approximated by standard finite elements and the action by a local postprocessing. Such a discretization admits an equivalent mixed reformulation. We prove the well-posedness of the discrete problem...
On the unique solvability of the Runge-Kutta equations.
On the use of larger bulges in the QR algorithm.
On the Variational Characterization and Convergence of Bivariate Splines.
On the Various Bisection Methods Derived from Vincent’s Theorem
In 2000 A. Alesina and M. Galuzzi presented Vincent’s theorem “from a modern point of view” along with two new bisection methods derived from it, B and C. Their profound understanding of Vincent’s theorem is responsible for simplicity — the characteristic property of these two methods. In this paper we compare the performance of these two new bisection methods — i.e. the time they take, as well as the number of intervals they examine in order to isolate the real roots of polynomials — against that...