Literature DB >> 17280180

Comment on "Numerical methods for stochastic differential equations".

Kevin Burrage1, Pamela Burrage, Desmond J Higham, Peter E Kloeden, Eckhard Platen.   

Abstract

Wilkie [Phys. Rev. E 70, 017701 (2004)] used a heuristic approach to derive Runge-Kutta-based numerical methods for stochastic differential equations based on methods used for solving ordinary differential equations. The aim was to follow solution paths with high order. We point out that this approach is invalid in the general case and does not lead to high order methods. We warn readers against the inappropriate use of deterministic calculus in a stochastic setting.

Entities:  

Year:  2006        PMID: 17280180     DOI: 10.1103/PhysRevE.74.068701

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  4 in total

1.  An MCMC computational approach for a continuous time state-dependent regime switching diffusion process.

Authors:  El Houcine Hibbah; Hamid El Maroufy; Christiane Fuchs; Taib Ziad
Journal:  J Appl Stat       Date:  2019-10-16       Impact factor: 1.416

2.  Diffusive transport in Stokeslet flow and its application to plankton ecology.

Authors:  Uffe Høgsbro Thygesen; Thomas Kiørboe
Journal:  J Math Biol       Date:  2006-03-06       Impact factor: 2.164

3.  New Type of Spectral Nonlinear Resonance Enhances Identification of Weak Signals.

Authors:  Rongming Lin; Teng Yong Ng; Zheng Fan
Journal:  Sci Rep       Date:  2019-10-01       Impact factor: 4.379

4.  The stochastic θ -SEIHRD model: Adding randomness to the COVID-19 spread.

Authors:  Álvaro Leitao; Carlos Vázquez
Journal:  Commun Nonlinear Sci Numer Simul       Date:  2022-07-23       Impact factor: 4.186

  4 in total

北京卡尤迪生物科技股份有限公司 © 2022-2023.