A bifurcation result for Sturm-Liouville problems with a set-valued term.
A comparison of multilevel adaptive methods for hurricane track prediction.
A dual data assimilation method for a layered quasi-geostrophic ocean model.
In this paper we introduce the equations of a layered quasi-geostrophic ocean model, and the corresponding data assimilation problem. We first give the variational formulation. We then point out the linear theory of duality. Finally, we apply duality to our nonlinear model by describing an algorithm to solve the data assimilation problem, introducing a dual cost function and a simple way to compute its gradient.
A new approach to the problem of removal of soluble gaseous pollutants from the atmosphere and its correspondence with the existing approach.
A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology.
We present some results on the mathematical treatment of a global two-dimensional diffusive climate model. The model is based on a long time averaged energy balance and leads to a nonlinear parabolic equation for the averaged surface temperature. The spatial domain is a compact two-dimensional Riemannian manifold without boundary simulating the Earth. We prove the existence of bounded weak solutions via a fixed point argument. Although, the uniqueness of solutions may fail, in general, we give a...
A nonnegatively constrained trust region algorithm for the restoration of images with an unknown blur.
A rainfall forecasting method using machine learning models and its application to the Fukuoka city case
In the present article, an attempt is made to derive optimal data-driven machine learning methods for forecasting an average daily and monthly rainfall of the Fukuoka city in Japan. This comparative study is conducted concentrating on three aspects: modelling inputs, modelling methods and pre-processing techniques. A comparison between linear correlation analysis and average mutual information is made to find an optimal input technique. For the modelling of the rainfall, a novel hybrid multi-model...
Acoustic-gravity waves in a viscous and thermally conducting isothermal atmosphere. III: For arbitrary Prandtl number.
Acoustic-gravity waves in a viscous and thermally conducting isothermal atmosphere. I: For large Prandtl number.
Acoustic-gravity waves in a viscous and thermally conducting isothermal atmosphere. II: For small Prandtl number.
Alternative models in precipitation analysis.
Application of MCMC to change point detection
A nonstandard approach to change point estimation is presented in this paper. Three models with random coefficients and Bayesian approach are used for modelling the year average temperatures measured in Prague Klementinum. The posterior distribution of the change point and other parameters are estimated from the random samples generated by the combination of the Metropolis-Hastings algorithm and the Gibbs sampler.