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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

7 votes

Note rejected from arXiv: what to do next?

Speaking from personal experience I would say the main 'indicators' which a moderator might use to reject an ArXiv submission are: very few references in the bibliography, poor presentation, rushed ap …
5 votes

What phenomena are better modelled by SDE instead of ODE?

I am not sure what you mean by ''more accurate'' but I will just point out that many physical processes involve some type of inherent randomness which can be modelled using a stochastic differential e …
Hollis Williams's user avatar
1 vote
0 answers
125 views

Brachistochrone for a rolling sphere with slippage

I was recently looking into generalisations of the brachistochrone problem: for example, in this article the authors study the brachistochrone with Amontons-Coulomb friction where a bead slides along …
Hollis Williams's user avatar