Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Steklov Mathematical Institute RAS.Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value ...
Mikhailov, SE, Ayele, TG
core +6 more sources
On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
core +5 more sources
Quantum stochastic operator cocycles via associated semigroups. [PDF]
, 2007 A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic ...
Wills, S. J., Lindsay, J. Martin
core +4 more sources
Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
core +7 more sources
Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
core +7 more sources
On p-superlinear equations with a nonhomogeneous differential operator [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2012 The authors consider the following nonlinear Dirichlet problem in a bounded domain \(\Omega\subset\mathbb R^N\) with a \(C^2\)-boundary \(\partial\Omega:-\mathrm{div} a(z,Du(z))=f(z,u(z))\) in \(\Omega\), \(u|_{\partial\Omega}=0\), where \(-\mathrm{div}a(z,Du(z))\) is the nonhomogeneous differential operator including the \(p\)-Laplacian ...
Aizicovici, Sergiu +2 more
openaire +3 more sources
Optimal control of stochastic partial differential equations in Banach spaces [PDF]
, 2010 In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
core +7 more sources
Linear Differential Operators for Polynomial Equations
Journal of Symbolic Computation, 2002 Let \(k_0\) be a number field and \(\overline{k_0}\) be its algebraic closure. Let \(P\in k_0(x)[y]\) be a squarefree polynomial in \(y\). The derivation \(\delta=\frac d{dx}\) extends uniquely to the algebraic closure \(\overline{k_0(x)}\) of \(k_0(x)\).
Olivier Cormier +3 more
openaire +2 more sources
Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
White, Craig +4 more
core +4 more sources
The nonlocal problem for the differential-operator equation of the even order with the involution
Karpatsʹkì Matematičnì Publìkacìï, 2018 In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Ya.O. Baranetskij +3 more
doaj +1 more source