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64 papers · 1 filter
Analysis of exponential splitting methods for inhomogeneous parabolic equations
Erwan Faou, Alexander Ostermann, Katharina Schratz
We analyze the convergence of the exponential Lie and exponential Strang splitting applied to inhomogeneous second-order parabolic equations with Dirichlet boundary conditions. A r…
High-precision camera distortion measurements with a "calibration harp"
Zhongwei Tang, Rafael Grompone von Gioi, Pascal Monasse +1
This paper addresses the high precision measurement of the distortion of a digital camera from photographs. Traditionally, this distortion is measured from photographs of a flat pa…
Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime
Erwan Faou, Katharina Schratz
We consider the Klein-Gordon equation in the non-relativistic limit regime, i.e. the speed of light c tending to infinity. We construct an asymptotic expansion for the solution wit…
Consistency of l1 recovery from noisy deterministic measurements
Charles Dossal, Rémi Tesson
In this paper a new result of recovery of sparse vectors from deterministic and noisy measurements by l1 minimization is given. The sparse vector is randomly chosen and follows a g…
Run-up amplification of transient long waves
Themistoklis Stefanakis, Shanshan Xu, Denys Dutykh +1
The extreme characteristics of long wave run-up are studied in this paper. First we give a brief overview of the existing theory which is mainly based on the hodograph transformati…
Quantitative prediction of effective toughness at random heterogeneous interfaces
Sylvain Patinet, Damien Vandembroucq, Stéphane Roux
The propagation of an adhesive crack through an anisotropic heterogeneous interface is considered. Tuning the local toughness distribution function and spatial correlation is numer…