On an optimal method for solving an inverse Stefan problem

被引：0

作者：

Tanana V.P. ^{[1
]}

Khudyshkina E.V. ^{[1
]}

机构：

[1] Chelyabinsk State University, Chelyabinsk 454021

来源：

Journal of Applied and Industrial Mathematics | 2007年 / 1卷 / 2期

基金：

俄罗斯基础研究基金会;

关键词：

Initial Problem; Stefan Problem; Exact Estimate; Transition Front; Isometric Operator;

D O I：

10.1134/S1990478907020159

中图分类号：

学科分类号：

摘要：

An algorithm optimal in order is proposed for solving an inverse Stefan problem. We also give some exact estimates of accuracy of this method. © Pleiades Publishing, Ltd. 2007.

引用

页码：254 / 259

页数：5

共 11 条

[1]

Gol'dman N.L., Inverse Stefan Problems: Theory and Solution Methods, (1999)

[2]

Friedman A., Partial Differential Equations of Parabolic Type, (1968)

[3]

Alifanov O.M., Artyukhin E.A., Rumyantsev S.V., Optimal Methods for Solving the Ill-Posed Problems, (1988)

[4]

Lavrent'ev M.M., Savel'ev L.Ya., Theory of Operators and Ill-Posed Problems, (1999)

[5]

Tanana V.P., On Optimality by Order of the Method of Projective Regularization for Solving Inverse Problems, Sibirsk. Zh. Industr. Mat., 7, 2, pp. 117-132, (2004)

[6]

Ditkin V.A., Prudnikov A.P., Integral Transformations and Operational Calculus, (1961)

[7]

Menikhes L.D., Tanana V.P., Finite-Dimensional Approximation in the M. M. Lavrent'ev Method, Sibirsk. Zh. Vychisl. Mat., 1, 1, pp. 59-66, (1998)

[8]

Ivanov V.K., Korolyuk T.I., On an Error Estimate for Solution of Linear Ill-Posed Problems, Zh. Vychisl. Mat. I Mat. Fiz., 9, 1, pp. 30-41, (1969)

[9]

Strakhov V.N., Solution of Linear Ill-Posed Problems in Hilbert Space, Differentsial'nye Uravneniya, 6, 8, pp. 1490-1495, (1970)

[10]

Ivanov V.K., Vasin V.V., Tanana V.P., Theory of Ill-Posed Linear Problems and Its Applications, (1978)

← 1 2 →