Results 51 to 60 of about 243,415 (192)

A PDAE formulation of parabolic problems with dynamic boundary conditions

open access: yes, 2018
The weak formulation of parabolic problems with dynamic boundary conditions is rewritten in form of a partial differential-algebraic equation. More precisely, we consider two dynamic equations with a coupling condition on the boundary. This constraint is
Altmann, Robert
core   +1 more source

An Integro-Differential Structure for Dirac Distributions

open access: yes, 2018
We develop a new algebraic setting for treating piecewise functions and distributions together with suitable differential and Rota-Baxter structures. Our treatment aims to provide the algebraic underpinning for symbolic computation systems handling such ...
Rosenkranz, Markus, Serwa, Nitin
core  

Differential Algebraic Equations, Indices, and Integral Algebraic Equations

open access: yesSIAM Journal on Numerical Analysis, 1990
In a recent report, Hairer, Lubich, and Roche [Report CH-1211, Dept. de Mathematiques, Universite de Geneve, Geneve, Switzerland, 1988] define the index of differential algebraic equations (DAEs) by considering the effect of perturbations of the equations on the solutions. This index, which will be called the perturbation index $p_i $, is one more than
openaire   +3 more sources

On algebraic solutions of Lamé's differential equation

open access: yesJournal of Differential Equations, 1981
In two previous papers [ 1, 21 we reconsidered and improved Klein’s method for establishing whether a given second order linear differential equation with rational function coefficients (over an algebraic curve) has a full set of algebraic solutions.
openaire   +3 more sources

Counting coloured planar maps: differential equations

open access: yes, 2015
We address the enumeration of q-coloured planar maps counted bythe number of edges and the number of monochromatic edges. We prove that the associated generating function is differentially algebraic,that is, satisfies a non-trivial polynomial ...
Mireille Bousquet-mélou   +2 more
core   +1 more source

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