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math.NA2013★ 43 cited

Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture

Peter Knabner, Jean Roberts

We consider a model for flow in a porous medium with a fracture in which the flow in the fracture is governed by the Darcy-Forchheimer law while that in the surrounding matrix is g…

math.NA2013

The DFLU flux for systems of conservation laws

Adi Adimurthi, G. D. Veerappa Gowda, Jérôme Jaffré

The DFLU numerical flux was introduced in order to solve hyperbolic scalar conservation laws with a flux function discontinuous in space. We show how this flux can be used to solve…

math.NA2013★ 31 cited

Conservative and non-conservative methods based on hermite weighted essentially-non-oscillatory reconstruction for Vlasov equations

Chang Yang, Francis Filbet

We introduce a WENO reconstruction based on Hermite interpolation both for semi-Lagrangian and finite difference methods. This WENO reconstruction technique allows to control spuri…

math.NA2013★ 21 cited

Numerical Reproducibility and Parallel Computations: Issues for Interval Algorithms

Nathalie Revol, Philippe Théveny

What is called "numerical reproducibility" is the problem of getting the same result when the scientific computation is run several times, either on the same machine or on differen…

math.NA2013★ 1 cited

A Quadratically Convergent Algorithm for Structured Low-Rank Approximation

Éric Schost, Pierre-Jean Spaenlehauer

Structured Low-Rank Approximation is a problem arising in a wide range of applications in Numerical Analysis and Engineering Sciences. Given an input matrix , the goal is to com…

math.NA2013★ 21 cited

Linear Convergence on Positively Homogeneous Functions of a Comparison Based Step-Size Adaptive Randomized Search: the (1+1) ES with Generalized One-fifth Success Rule

Anne Auger, Nikolaus Hansen

In the context of unconstraint numerical optimization, this paper investigates the global linear convergence of a simple probabilistic derivative-free optimization algorithm (DFO).…