Sharp bounds on the mathematical constant e.
Sharp Error Bounds for Newton's Process.
Sharp error bounds for some quadrature formulae and applications.
Sharp error estimates for the numerical differentiation formulas on the classes of entire functions of exponential type.
Sharp estimates for the convergence of the density of the Euler scheme in small time.
Sharp Estimates in Terms of Moduli of Smoothness for Compound Cubature Rules.
Sharp stability estimates for hyperbolic conservation laws.
Sharp L...-Error Estimates for Semilinear Elliptic Problems with Free Boundaries.
Sharp lower bounds for the dimension of linearizations of matrix polynomials.
Sharp maximum norm error estimates for general mixed finite element approximations to second order elliptic equations
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems
The paper is devoted to the problem of verification of accuracy of approximate solutions obtained in computer simulations. This problem is strongly related to a posteriori error estimates, giving computable bounds for computational errors and detecting zones in the solution domain where such errors are too large and certain mesh refinements should be performed. A mathematical model embracing nonlinear elliptic variational problems is considered in this work. Based on functional type estimates developed...
Shear flow past a flat plate in hydromagnetics.
Shooting methods for transferable DAEs---solution of shooting equation
Signal reconstruction from given phase of the Fourier transform using Fejér monotone methods
The aim is to reconstruct a signal function x ∈ L₂ if the phase of the Fourier transform [x̂] and some additional a-priori information of convex type are known. The problem can be described as a convex feasibility problem. We solve this problem by different Fejér monotone iterative methods comparing the results and discussing the choice of relaxation parameters. Since the a-priori information is partly related to the spectral space the Fourier transform and its inverse have to be applied in each...
Signorini problem with a solution dependent coefficient of friction (model with given friction): Approximation and numerical realization
Contact problems with given friction and the coefficient of friction depending on their solutions are studied. We prove the existence of at least one solution; uniqueness is obtained under additional assumptions on the coefficient of friction. The method of successive approximations combined with the dual formulation of each iterative step is used for numerical realization. Numerical results of model examples are shown.
Simpel modelling of extracellular matrix alignment in dermal wound healing. I: Cell flux induced alignment.
Simple Monte Carlo integration with respect to Bernoulli convolutions
We apply a Markov chain Monte Carlo method to approximate the integral of a continuous function with respect to the asymmetric Bernoulli convolution and, in particular, with respect to a binomial measure. This method---inspired by a cognitive model of memory decay---is extremely easy to implement, because it samples only Bernoulli random variables and combines them in a simple way so as to obtain a sequence of empirical measures converging almost surely to the Bernoulli convolution. We give explicit...
Simple square smoothing regularization operators.
Simpler block GMRES for nonsymmetric systems with multiple right-hand sides.
Simplex Bisection and Sperner Simplices