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The Concepts of Discrete Convergence and Discrete Approximations

1985
The concepts of discrete convergence and discrete approximation make the idea of approximating elements or spaces by sequences of elements or spaces more precise in a general setting. These concepts are introduced in Section 5.1, and explained by means of introductory examples.
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Discrete approximations of differential inclusions.

Summary: This paper is devoted to discretization methods for initial value problems for differential inclusions. The main emphasis is on set-valued analogues of Runge-Kutta methods. The material is presented as a survey, simultaneously containing a series of new results. Complete proofs are contained in our extended version [Bayreuther Math. Schr.
Lempio, Frank, Veliov, Vladimir
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Discrete Approximations

2000
Gopinath Kallianpur   +1 more
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Discrete and asymptotic approximations for one stationary radiative–conductive heat transfer problem

Russian Journal of Numerical Analysis and Mathematical Modelling, 2020
Andrey Amosov
exaly  

Semi-discrete approximations for stochastic differential equations and applications

International Journal of Computer Mathematics, 2012
Nikolaos Halidias
exaly  

Multivariate Discrete Least-Squares Approximations with a New Type of Collocation Grid

SIAM Journal of Scientific Computing, 2014
Zhiqiang Xu, Akil Narayan, Tao Zhou
exaly  

Optimal control of a perturbed sweeping process via discrete approximations

Discrete and Continuous Dynamical Systems - Series B, 2016
Tan Cao, Boris Mordukhovich
exaly  

A note on discrete Čebysev approximation

Acta Mathematica Academiae Scientiarum Hungaricae, 1980
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