DSpace logo

  1. BITS Pilani Institutional Repository

Search


Current filters:

Start a new search
Add filters:

Use filters to refine the search results.

 | 
Results 251-260 of 260 (Search time: 0.004 seconds).
Item hits:
Issue DateTitleAuthor(s)
2015Arithmetic nature of some in nite series and integralsSharma, Divyum
2017-01On the number of non-zero digits of integers in multi-base representationSharma, Divyum
2014Number of representations of integers by binary FormsSharma, Divyum
2017Multishifts on Directed Cartesian Product of Rooted Directed TreesTrivedi, Shailesh
2017-09Dirichlet Spaces Associated with Locally Finite Rooted Directed TreesTrivedi, Shailesh
2016-06An analytic model for left-invertible weighted shifts on directed treesTrivedi, Shailesh
2010-10Diffusion in a nonhomogeneous medium: quasi-random walk on a lattice Rami El Haddad EMAIL logo , Christian Lécot and Gopalakrishnan Venkiteswaran From the journal https://doi.org/10.1515/mcma.2010.009 2 2 total citations on Dimensions. You are currently not able to access this content. Not sure if you should have access? Please log in using an institutional account to see if you have access to view or download this content. For more information see https://www.degruyter.com/how-access-works Showing a limited preview of this publication: Abstract We are interested in Monte Carlo (MC) methods for solving the diffusion equation: in the case of a constant diffusion coefficient, the solution is approximated by using particles and in every time step, a constant stepsize is added to or subtracted from the coordinates of each particle with equal probability. For a spatially dependent diffusion coefficient, the naive extension of the previous method using a spatially variable stepsize introduces a systematic error: particles migrate in the directions of decreasing diffusivity. A correction of stepsizes and stepping probabilities has recently been proposed and the numerical tests have given satisfactory results. In this paper, we describe a quasi-Monte Carlo (QMC) method for solving the diffusion equation in a spatially nonhomogeneous medium: we replace the random samples in the corrected MC scheme by low-discrepancy point sets. In order to make a proper use of the better uniformity of these point sets, the particles are reordered according to their successive coordinates at each time step. We illustrate the method with numerical examples: in dimensions 1 and 2, we show that the QMC approach leads to improved accuracy when compared with the original MC method using the same number of particles. Keywords.: Quasi-Monte Carlo; random walk; low-discrepancy sequences; diffusion equation Received: 2009-11-16 Revised: 2010-09-06 Published Online: 2010-10-20 Published in Print: 2010-December © de Gruyter 2010 — or — PDF 30,00 € From the journal Volume 16 Issue 3-4 Journal and Issue This issue All issues Articles in the same Issue Editiorial Random packing of hyperspheres and Marsaglia's parking lot test Diffusion in a nonhomogeneous medium: quasi-random walk on a lattice Improved Halton sequences and discrepancy bounds Generalizing Sudoku to three dimensions Adaptive integration and approximation over hyper-rectangular regions with applications to basket option pricing Exact simulation of Bessel diffusions A good permutation for one-dimensional diaphony Error bounds for computing the expectation by Markov chain Monte Carlo Stochastic iterative projection methods for large linear systems Increasing the number of inner replications of multifactor portfolio credit risk simulation in the t-copula model A genetic algorithm approach to estimate lower bounds of the star discrepancy Random and deterministic fragmentation models MCMC imputation in autologistic model Subjects Architecture and Design Arts Asian and Pacific Studies Business and Economics Chemistry Classical and Ancient Near Eastern Studies Computer Sciences Cultural Studies Engineering General Interest Geosciences History Industrial Chemistry Islamic and Middle Eastern Studies Jewish Studies Law Library and Information Science, Book Studies Life Sciences Linguistics and Semiotics Literary Studies Materials Sciences Mathematics Medicine Music Pharmacy Philosophy Physics Social Sciences Sports and Recreation Theology and Religion Services For journal authors For book authors For librarians Rights & Permissions Publications Publication types Open Access About Contact Career About De Gruyter Partnerships Press FAQs Social Facebook Instagram LinkedIn Twitter YouTube De Gruyter Open-Athens Winner of the OpenAthens Best Publisher UX Award 2022 Help/FAQ Privacy policy Cookie Policy Accessibility Terms & Conditions Legal Notice © Walter de Gruyter GmbH 2023 Consent to website analysis We use cookies and other technologies. Some of them are necessary for the website to function and are always set. Cookies for website analysis are not required and are set only with your consent. Some services for analysis process personal data in the USA. With your consent to use these services, you also consent to the processing of your data in the USA. Your consent is voluntary and can be revoked at any time. For more information, please see our Cookie Policy.Venkiteswaran, G.
2013-01Extended Latin Hypercube Sampling for Integration and SimulationVenkiteswaran, G.
2016-06Stability and Hopf-bifurcation in a general Gauss type two-prey and one-predator systemDubey, Balram
2016Role of media and treatment on an SIR modelDubey, Balram; Dubey, Uma S.

Discover