A- and B-Stability for Runge-Kutta Methods - Characterizations and Equivalence.
A Basic Theorem in the Computation of Ellipsoidal Error Bounds.
A C...-Collocation-like Method for Two-Point Boundary Value Problems.
A central WENO-TVD scheme for hyperbolic conservation laws.
A Class of Simple Exponential B-Splines and Their Application to Numerical Solution to Singular Perturbation Problems.
A Collocation Method for Boundary Value Problems.
A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation.
A computational investigation of an integro-differential inequality with periodic potential.
A contribution to Runge-Kutta formulas of the 7th order with rational coefficients for systems of differential equations of the first order
The purpose of this article is to find the 7th order formulas with rational parameters. The formulas are of the 11th stage. If we compare the coefficients of the development up to with the development given by successive insertion into the formula for and we obtain a system of 59 condition equations with 65 unknowns (except, the 1st one, all equations are nonlinear). As the solution of this system we get the parameters of the 7th order Runge-Kutta formulas as rational numbers.
A convergence result for discrete steepest descent in weighted Sobolev spaces.
A convergence theorem on the iterative solution of nonlinear two-point boundary-value systems
A Convergent Finite Elemet Formulation for Transonic Flow.
A derivative array approach for linear second order differential-algebraic systems.
A difference method of solving the differential equation y' = h(t, y, y, y')
A discrete maximum principle [Book]
A family of multistep methods to integrate orbits on spheres.
A Finite Element Merthod Scheme for one Dimensional Elliptic Equations with High Super Convergence at the Nodes.
A Finite Element Method for a Singularly Perturbed Boundary Value Problem.
A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative
A Finite Element Model Based on Discontinuous Galerkin Methods on Moving Grids for Vertebrate Limb Pattern Formation
Skeletal patterning in the vertebrate limb, i.e., the spatiotemporal regulation of cartilage differentiation (chondrogenesis) during embryogenesis and regeneration, is one of the best studied examples of a multicellular developmental process. Recently [Alber et al., The morphostatic limit for a model of skeletal pattern formation in the vertebrate limb, Bulletin of Mathematical Biology, 2008, v70, pp. 460-483], a simplified two-equation reaction-diffusion system was developed to describe the interaction...