On two-point boundary value problems for two-dimensional differential systems with singularities.
Mukhigulashvili, S. (2003)
Georgian Mathematical Journal
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Displaying similar documents to “Analytical approximation to solutions of singularly perturbed boundary value problems.”
On two-point boundary value problems for two-dimensional differential systems with singularities.
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Finite differences and boundary element methods for non-stationary viscous incompressible flow
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We consider an implicit fractional step procedure for the time discretization of the non-stationary Stokes equations in smoothly bounded domains of ℝ³. We prove optimal convergence properties uniformly in time in a scale of Sobolev spaces, under a certain regularity of the solution. We develop a representation for the solution of the discretized equations in the form of potentials and the uniquely determined solution of some system of boundary integral equations. For the numerical computation...
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