Smoothing by Spline Functions.
Smoothing by Spline Functions. II.
Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data
The purpose of this paper is to derive the error estimates for discretization in time of a semilinear parabolic equation in a Banach space. The estimates are given in the norm of the space for when the initial condition is not regular.
Smoothing effect and regularity for evolution integrodifferential systems
Smoothing functions and algorithm for nonsymmetric circular cone complementarity problems
There has been much interest in studying symmetric cone complementarity problems. In this paper, we study the circular cone complementarity problem (denoted by CCCP) which is a type of nonsymmetric cone complementarity problem. We first construct two smoothing functions for the CCCP and show that they are all coercive and strong semismooth. Then we propose a smoothing algorithm to solve the CCCP. The proposed algorithm generates an infinite sequence such that the value of the merit function converges...
Smoothing Noisy Data Under Monotonicity Constraints Existence, Characterization and Convergence Rates.
Smoothing Noisy Data with Spline Functions.
Smoothing Noisy Data with Spline Functions.
Smoothing Noisy Data with Spline Functions. Estimating the Correct Degree of Smoothing by the Method of Generalized Cross-Validation.
Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations.
Smoothing the Extrapolated Midpoint Rule
SO(2,1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions
MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40The paper contains some new formulas involving the Whittaker functions and arising as the values of some double integrals, which are invariant with respect to the representation of the group SO(2; 1).
Sobolev gradients for differential algebraic equations.
Sobolev type inequalities for p>0
Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation.
Solution explicite du problème de Cauchy pour un opérateur hyperbolique à caractéristiques non régulières
Solution for a classical problem in the calculus of variations via rationalized Haar functions
A numerical technique for solving the classical brachistochrone problem in the calculus of variations is presented. The brachistochrone problem is first formulated as a nonlinear optimal control problem. Application of this method results in the transformation of differential and integral expressions into some algebraic equations to which Newton-type methods can be applied. The method is general, and yields accurate results.
Solution Manifolds and Submanifolds of Parametrized Equations and Their Discretization Errors.
Solution of a class of quasilinear Dirichlet and Neumann problems by the method of reduction.
Solution of a class of quasilinear Dirichlet and Neumann problems by the method of reduction. (Short Communication).