首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Solving chemical master equations by adaptive wavelet compression
Authors:Tobias Jahnke  Tudor Udrescu
Institution:Karlsruhe Institute of Technology (KIT), Fakultät für Mathematik, Institut für Angewandte und Numerische Mathematik, Kaiserstr. 93, 76133 Karlsruhe, Germany
Abstract:Solving chemical master equations numerically on a large state space is known to be a difficult problem because the huge number of unknowns is far beyond the capacity of traditional methods. We present an adaptive method which compresses the problem very efficiently by representing the solution in a sparse wavelet basis that is updated in each step. The step-size is chosen adaptively according to estimates of the temporal and spatial approximation errors. Numerical examples demonstrate the reliability of the error estimation and show that the method can solve large problems with bimodal solution profiles.
Keywords:Chemical master equation  Wavelet compression  Adaptive step-size selection  Adaptive Galerkin approximation  Rothe&rsquo  s method  Stochastic reaction kinetics  Gene regulatory networks
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号