The vast majority of recent advances in the field of numerical radiative transfer relies on approximate operator methods better known in astrophysics as Accelerated Lambda-Iteration (ALI). A superior class of iterative schemes, in term of rates of convergence, such as Gauss-Seidel and Successive Overrelaxation methods were therefore quite naturally introduced in the field of radiative transfer ...

In family studies with multiple continuous phenotypes, heritability can be conveniently evaluated through the so-called principal-component of heredity (PCH, for short; Ott and Rabinowitz in Hum Hered 49:106–111, 1999). Estimation of the PCH, however, is notoriously difficult when entertaining a large collection of phenotypes which naturally arises in dealing with modern genomic data such as th...

To find an optimum accelerating parameter of the SOR method is important and a difficult part of the problem. It is more difficult to estimate many optimum parameters of the GSOR method. In this talk, we propose a new algorithm to estimate the optimum parameters of the GSOR method. The key point to estimate these parameters is using a preconditioned matrix constructed by a part of the coefficie...

Over-the-top (OTT) content-on-demand (CoD) media delivery should ideally adapt to the available resources in an opportunistic manner. The dynamic nature of the Internet traffic and wireless local area networking technologies, which are typical within the home, must be considered in order to efficiently use resources without the need and limitations associated with centralised or fixed allocatio...

In the paper, we firstly recommend a new variational model for image decomposition into cartoon and texture or noise by introducing a new function in Sobolev space, in order to overcome the inconsistency between the theoretical model and numerical simulation. Secondly, we prove the existence of minimal solutions of the improved ROF energy functional. Subsequently, we also introduce two addition...

Statistical analysis of parameters and residuals of conceptual hydrological models has received little effort in the hydrological research, certainly by orders of magnitude less than on many other problems like development and comparison of automatic calibration methods, optimisation algorithms, etc. Much more work is required than is presently undertaken to investigate the properties of model ...

Conformal mapping has been a familiar tool of science and engineering for generations. Determination of a conformal map from the unit disk onto the Jordan region is reduced to solving the Theodorsen equation, which is an integral equation for boundary correspondence functions. There are many methods for solving the Theodorsen equation. It is the goal of numerical conformal mapping to find metho...