We construct and implement a non-oscillatory relaxation scheme for multidimensional hyperbolic systems of conservation laws. The method transforms the nonlinear
We consider a Second Harmonic Generation (SHG) problem of an optical signal wave with an optical pump in a medium represented by a smooth bounded domain Ω(C) I
The inverse black body radiation problem, which is to reconstruct the area tempera-ture distribution from the measurement of power spectrum distribution, is a w
Digital inpainting is a fundamental problem in image processing and many variational models for this problem have appeared recently in the literature. Among the
This paper proposes a reliable and efficient a posteriori error estimator for the finite element methods for the beam problem. It is proved that the error can b