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On the convergence of Chebyshev--Padé approximations to real-valued algebraic functions
Chebyshev--Padé approximations real-valued algebraic functions
2010/12/13
В работе анонсируются новые результаты о сходимости аппроксимаций Чебышёва–
Паде для вещественных алгебраических функций, заданных на отрезке [−1, 1]. Скорость
сходимости аппроксимаций на отре...
On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements
Lossless Approximations Fluctuation-Dissipation Theorem Limitations of Measurements
2010/12/6
In this paper, we take a control-theoretic approach to answering some standard questions in statistical mechanics, and use the results to derive limitations of classical measurements.
Complements, Approximations, Smoothings and Invariance Properties
Nonsmooth analysis epi-Lipschitz complement approximations invariance differential inclusion smoothing proximal smoothness ]tangentiality feedback convolution Hamiltonian-Jacobi inequalities
2009/2/5
Proximal methods are used to determine the relationship between normal cones to a closed set in $\Re^n$ and those to the closure of its complement. The geometry of outer and inner set approximations i...
ERROR BOUNDS FOR GLIMM DIFFERENCE APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITHOUT CONVEXITY
error bounds Glimm's scheme non-convexity
2007/12/12
In last century, D. Hoff and J. Smoller derived the error bounds for the Glimm difference approximations of the solutions to scalar conservation laws with convexity. Our work is to extend the correspo...