Результаты поиска по 'S-spline theory':
Найдено статей: 2
  1. Fedosova A.N., Silaev D.A.
    Mathematical modeling of bending of a circular plate using $S$-splines
    Computer Research and Modeling, 2015, v. 7, no. 5, pp. 977-988

    This article is dedicated to the use of higher degree $S$-splines for solving equations of the elasticity theory. As an example we consider the solution to the equation of bending of a plate on a circle. $S$-spline is a piecewise-polynomial function. Its coefficients are defined by two conditions. The first part of the coefficients are defined by the smoothness of the spline. The rest are determined using the least-squares method. We consider class $C^4$ 7th degree $S$-splines.

    Keywords: approximation, spline, numerical methods, method of finite elements, the mathematical physics, the elasticity theory.
    Views (last year): 4.
  2. Silaev D.A., Korotaev D.O.
    Solving of boundary tasks by using S-spline
    Computer Research and Modeling, 2009, v. 1, no. 2, pp. 161-171

    This article is dedicated to use of S-spline theory for solving equations in partial derivatives. For example, we consider solution of the Poisson equation. S-spline — is a piecewise-polynomial function. Its coefficients are defined by two states. The first part of coefficients are defined by smoothness of the spline. The second coefficients are determined by least-squares method. According to order of considered polynomial and number of conditions of first and second type we get S-splines with different properties. At this moment we have investigated order 3 S-splines of class C1 and order 5 S-splines of class C2 (they meet conditions of smoothness of order 1 and 2 respectively). We will consider how the order 3 S-splines of class C1 can be applied for solving equation of Poisson on circle and other areas.

    Keywords: S-spline theory, Poisson equation, differential equations solving.
    Views (last year): 8. Citations: 8 (RSCI).

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