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Convergence of a discrete Oort–Hulst–Safronov equation

✍ Scribed by Véronique Bagland

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
214 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

A discrete version of the Oort-Hulst-Safronov (OHS) coagulation equation is studied. Besides the existence of a solution to the Cauchy problem, it is shown that solutions to a suitable sequence of those discrete equations converge towards a solution to the OHS equation.

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A semi-discrete convergent scheme for a
A semi-discrete convergent scheme for a quasilinear hyperbolic equation
✍ R. Kannan; R. Ortega 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 447 KB

We establish here the convergence (thereby proving the existence) of a semi-discrete scheme for the quasilinear hyperbolic equation u(0, .) = 4 where x E R", t E [O,T], and d E L"(R"). It is well known that the above problem does not necessarily have global classical solutions and the usual concept