Now showing items 1-10 of 14
Linearly Implicit Quantization-Based Integration Methods for Stiff Ordinary Differential Equations
In this paper, new integration methods for stiff ordinary differential equations (ODEs) are developed. Following the idea of quantization--based integration (QBI), i.e., replacing the time discretization by state quantization, ...
Time discretization versus state quantization in the simulation of a one-dimensional advection–diffusion–reaction equation
(SAGE Publications, 2016-01)
In this article, we study the effects of replacing the time discretization by the quantization of the state variables on a one-dimensional (1D) advection–diffusion–reaction (ADR) problem. For that purpose the 1D ADR equation ...
An introductory informatics theoretical framework, based on an integrable lattice model using quantized function algebras, for studying DNA-ionized gas interaction system
Usually we observe that Bio-physical systems or Bio-chemical systems are many a time based on nanoscale phenomenon in different host environments, which involve many particles can often not be solved explicitly. Instead a ...
Activity of order n in continuous systems
(Sage Publications, 2015-04)
In this work we generalize the concept of activity of continuous time signals. We define the activity of order n of a signal and show that it allows us to estimate the number of sections of polynomials up to order n which ...
Coulomb integrals and conformal blocks in the AdS3-WZNW model
(IOP Publishing, 2009-11)
We study spectral flow preserving four-point correlation functions in the AdS3- WZNW model using the Coulomb gas method on the sphere. We present a multiple integral realization of the conformal blocks and explicitly ...