Dynamical low-rank approximation (DLRA) methods have emerged as a powerful numerical framework for addressing the challenges posed by high-dimensional problems. By restricting the evolution of a ...

It is now possible to improve the precision of well survey calculations by order of magnitude with numerical approximation. Although the most precise method of simulating and calculating a wellbore ...

Kövari and Pommerenke [19], and Elliott [8], have shown that the truncated Faber series gives a polynomial approximation which (for practical values of the degree of the polynomial) is very close to ...

Advanced study in Markov chain and continuous time Markov process models and applications, renewal processes, Brownian Motion,analytical and numerical approximation methods, Markov decision processes ...

SIAM Journal on Numerical Analysis, Vol. 54, No. 4 (2016), pp. 2256-2281 (26 pages) The focus of this paper is the approximation of analytic functions on compact intervals from their pointwise values ...

An introduction to the theory, algorithms, approximations, and applications of stochastic processes. Topics studied include Markov chain and continuous and continuous time Markov process models and ...

In their 2001 paper, Longstaff and Schwartz suggested a method for American option pricing using simulation and regression, and since then this method has rapidly gained importance. However, the idea ...