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Interpolation, differentiation, integration of data through Finite Sampling Theorems

E.N. Terentiev$^1$, N.E. Terentiev$^2$

Memoirs of the Faculty of Physics 2016. N 6.

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Annotation

In the simulation of physical processes and phenomena in radio physics, optics, we propose to use Finite Sampling Theorem (FST) instead theorem of Wiener–Kotelnikov and methods based on the difference schemes. FST operations are compatible with the convolution, analytical calculations, estimation of multiple integrals.

PACS:
02.70.-c Computational techniques; simulations
02.30.-f Function theory, analysis
Authors
E.N. Terentiev$^1$, N.E. Terentiev$^2$
1Department of Mathematical modeling and informatics, Faculty of Physics, Lomonosov Moscow State University. Moscow 119991, Russia
$^2$$HiQo Solutions, Moscow, 135 Cedar St Richmond Hill, Georgia 31324
Issue 6, 2016

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