A system based on cloud computing technology is developed for the purpose of education and research in mathematics.The system can provide dynamic service(co
In the paper,the CSS project being under development at the Institute of Informatics Systems in Novosibirsk with support of the Russian Foundation for Basic
We consider an inverse problem where the model is a time-fractional diffusion.In particular we consider the problem where the Caputo fractional derivative o
We consider the Bayesian methods for solving inverse problems in function space.The often used Gaussian processes prior often has difficulty in dealing with
In Bayesian inferences the hyper-parameters are often determined by maximizing the evidence.We present a fast computational method to do so in linear Bayesi
In gaskinetic theory,Grad's expansion actually is using a polynomial to approach the distribution divided by local Maxwellian.However,distribution function
In this work we develop an independence sampler based MCMC method for the Bayesian inferences in function spaces.We represent the proposal distribution as a
We design the entropy dissipation scheme for the two-dimensional hyperbolic equations.The scheme computes both the numerical solution and the numerical entr