These Annals, Vol. VII.doi:10.1007/BF02863570Hitosi KimuraSpringer NatureAnnals of the Institute of Statistical Mathematics
Noun1.numerical analysis- (mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus math,mathematics,maths- a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement ...
Sequences of structured matrices of increasing size, such as generalized locally Toeplitz sequences, arise in many scientific applications and especially i
The challenge of approximating functions in infinite-dimensional spaces from finite samples is widely regarded as formidable. In this study, we delve into the challenging problem of the numerical approximation of Sobolev-smooth functions defined on probability spaces. Our particular focus centers on the...
In such algorithms, there is a trade-off between computation time and the quality of the approximation ratio. Two common and important types of such approximation algorithms are the Polynomial-Time Approximation Scheme (PTAS) and the Fully Polynomial-Time Approximation Scheme (FPTAS), which are ...
Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated ...
The standard formulation of the PDE system of Mean Field Games (MFG) requires the differentiability of the Hamiltonian. However in many cases, the structur
From the dates of publication above it will be clear that approximation theory flourished in the early computer era, and in the 1950s and 1960s a number of numerical methods were developed based on Chebyshev polynomials by Lanczos [Lanczos 1957], Fox [Fox & Parker 1966], Clenshaw,...
Likelihood computation. The consistency of the estimators strongly depends on the mean squared error (MSE) of the approximation of fBm. The structure of the two dimensional Brownian motions in the case H > 1/2 could be taken into account to effectively express the terms of series...
Detached off-grids, subject to the generated renewable energy (RE), need to balance and compensate the unstable power supply dependent on local source potential. Power quality (PQ) is a set of EU standards that state acceptable deviations in the paramete