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» Staggered Finite Difference Schemes for Conservation Laws
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MCS
2006
Springer
13 years 7 months ago
Three-phase immiscible displacement in heterogeneous petroleum reservoirs
We describe a fractional-step numerical procedure for the simulation of immiscible three-phase flow in heterogeneous porous media that takes into account capillary pressure and ap...
Eduardo Abreu, J. Douglas, Frederico Furtado, D. M...
SYNTHESE
2008
83views more  SYNTHESE 2008»
13 years 7 months ago
A relativistic Zeno effect
A Zenonian supertask involving an infinite number of identical colliding balls is generalized to include balls with different masses. Under the restriction that the total mass of a...
David Atkinson
SIAMNUM
2011
161views more  SIAMNUM 2011»
13 years 2 months ago
A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces
Abstract. A finite volume scheme for transport and diffusion problems on evolving hypersurfaces is discussed. The underlying motion is assumed to be described by a fixed, not ne...
Martin Lenz, Simplice Firmin Nemadjieu, Martin Rum...
SIAMSC
2010
170views more  SIAMSC 2010»
13 years 2 months ago
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENO reconstruction with high order flux evaluation. Po...
Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Is...
AMC
2005
150views more  AMC 2005»
13 years 7 months ago
High order fitted operator numerical method for self-adjoint singular perturbation problems
We consider self-adjoint singularly perturbed two-point boundary value problems in conservation form. Highest possible order of uniform convergence for such problems achieved hith...
Kailash C. Patidar