Zobrazeno 1 - 10 of 135 pro vyhledávání: '"Divergent geometric series"'
1
Infinite Numerical and Functional Series
Autor: Lev Kantorovich
Publikováno v: Undergraduate Lecture Notes in Physics ISBN: 9783030912215
Undergraduate Lecture Notes in Physics ISBN: 9781493927845
In Sect. 1.9 we considered summation of finite series. In practice it is often necessary to deal with infinite series which contain an infinite number of terms a n . Here a n is a general (we say “the n-th”) term of the series which is constructe
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b073cc04c7d0863603e53b4df17a29f
https://doi.org/10.1007/978-3-030-91222-2_7
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2
The geometric series method for constructing exact solutions to nonlinear evolution equations
Autor: A. V. Bochkarev, A. I. Zemlyanukhin
Publikováno v: Computational Mathematics and Mathematical Physics. 57:1111-1123
It is proved that, for the majority of integrable evolution equations, the perturbation series constructed based on the exponential solution of the linearized problem is geometric or becomes geometric as a result of changing the variable in the equat
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::162ab782d48e9e3e4153e91485989ad2
https://doi.org/10.1134/s0965542517070065
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5
On the summability of divergent power series solutions for certain first-order linear PDEs
Autor: Masaki Hibino
Publikováno v: Opuscula Mathematica, Vol 35, Iss 5, Pp 595-624 (2015)
This article is concerned with the study of the Borel summability of divergent power series solutions for certain singular first-order linear partial differential equations of nilpotent type. Our main purpose is to obtain conditions which coefficient
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1c5dfe6e4d7ff57a961f6ae517f3955
http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3533.pdf
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7
Integral Geometric Regularity
Autor: Joseph H. G. Fu
Publikováno v: Lecture Notes in Mathematics ISBN: 9783319519500
Smooth scalar-valued valuations may be thought of as curvature integrals that are robust enough to apply to objects with convex singularities. It turns out that certain kinds of nonconvex singularities are also included. The distinguishing feature is
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b8066556eb6707c3897d4a928132e463
https://doi.org/10.1007/978-3-319-51951-7_10
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8
Time integration algorithm based on divergent series resummation, for ordinary and partial differential equations
Autor: Dina Razafindralandy, Aziz Hamdouni
Publikováno v: Journal of Computational Physics
Journal of Computational Physics, Elsevier, 2013, 236, pp.56-73. ⟨10.1016/j.jcp.2012.10.022⟩
International audience; Borel's technique of divergent series resummation is transformed into a numerical code and used as a time integration scheme. It is applied to the resolution of regular and singular problems arising in fluid mechanics. Its eff
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https://doi.org/10.1016/j.jcp.2012.10.022
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9
Geometric Series via Probability
Autor: Barry Tesman
Publikováno v: PRIMUS. 23:45-49
We describe a probability theory approach to find the sum of a convergent geometric series.
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https://doi.org/10.1080/10511970.2012.694017
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