Singular separatrix splitting and the Melnikov method: An experimental study.
Singular solutions of a transmission problem in plane linear elasticity for wedge-shaped regions.
Singular Splines.
Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment
Singularly Perturbed Finite Element Methods.
Skipping transition conditions in a posteriori error estimates for finite element discretizations of parabolic equations
In this paper we derive a posteriori error estimates for the heat equation. The time discretization strategy is based on a θ-method and the mesh used for each time-slab is independent of the mesh used for the previous time-slab. The novelty of this paper is an upper bound for the error caused by the coarsening of the mesh used for computing the solution in the previous time-slab. The technique applied for deriving this upper bound is independent of the problem and can be generalized to other time...
Slit maps and Schwarz-Christoffel maps for multiply connected domains.
Small Potential Corrections for the Discrete Eigenvalues of the Sturm-Liouville Problem.
Small-stencil 3D schemes for diffusive flows in porous media
In this paper, we study some discretization schemes for diffusive flows in heterogeneous anisotropic porous media. We first introduce the notion of gradient scheme, and show that several existing schemes fall into this framework. Then, we construct two new gradient schemes which have the advantage of a small stencil. Numerical results obtained for real reservoir meshes show the efficiency of the new schemes, compared to existing ones.
Small-stencil 3D schemes for diffusive flows in porous media
In this paper, we study some discretization schemes for diffusive flows in heterogeneous anisotropic porous media. We first introduce the notion of gradient scheme, and show that several existing schemes fall into this framework. Then, we construct two new gradient schemes which have the advantage of a small stencil. Numerical results obtained for real reservoir meshes show the efficiency of the new schemes, compared to existing ones.
Smith normal form of a matrix of generalized polynomials with rational exponents
It is proved that generalized polynomials with rational exponents over a commutative field form an elementary divisor ring; an algorithm for computing the Smith normal form is derived and implemented.
Smooth approximation of data with applications to interpolating and smoothing
In the paper, we are concerned with some computational aspects of smooth approximation of data. This approach to approximation employs a (possibly infinite) linear combinations of smooth functions with coefficients obtained as the solution of a variational problem, where constraints represent the conditions of interpolating or smoothing. Some 1D numerical examples are presented.
Smooth approximation spaces based on a periodic system
A way of data approximation called smooth was introduced by Talmi and Gilat in 1977. Such an approach employs a (possibly infinite) linear combination of smooth basis functions with coefficients obtained as the unique solution of a minimization problem. While the minimization guarantees the smoothness of the approximant and its derivatives, the constraints represent the interpolating or smoothing conditions at nodes. In the contribution, a special attention is paid to the periodic basis system ....
Smooth contour line construction with spline interpolation.
Contour maps are frequently used to represent three-dimensional surfaces from geographical applications or experimental results. In this paper, two new algorithms for the generation and display of such contours are presented. The first of them uses local spline interpolation to obtain contour maps from data points in a rectangular mesh, whereas the other interpolates a set of irregular points through recursive subdivision of triangles. In both algorithms, precision of the contours can be adjusted...
Smooth, Easy to Compute Interpolating Splines.
Smooth factorizations of matrix valued functions and their derivatives.
Smooth local interpolation of surfaces using normal vectors.
Smoothed projection methods for the moment problem.
Smoothed prolongation multigrid with rapid coarsening and massive smoothing
We prove that within the frame of smoothed prolongations, rapid coarsening between first two levels can be compensated by massive prolongation smoothing and pre- and post-smoothing derived from the prolongator smoother.
Smoothing and interpolation in a convex subset of a Hilbert space : II. The semi-norm case