Summation through stochastic drawing of addends under steered morphing

作者：

Highlights：

• A tool for stochastic evaluation of nested sums with many indexes is proposed.

• The Jarzynski equality is borrowed from the context of molecular thermodynamics.

• Addends build-up is seen as homologous of driven transformations in real systems.

• Numerical tests demonstrate the high performance of the method.

摘要

•A tool for stochastic evaluation of nested sums with many indexes is proposed.•The Jarzynski equality is borrowed from the context of molecular thermodynamics.•Addends build-up is seen as homologous of driven transformations in real systems.•Numerical tests demonstrate the high performance of the method.

论文关键词：Multiple summations,Stochastic sampling,Jarzynski’s equality

论文评审过程：Received 11 December 2012, Revised 29 July 2014, Available online 13 October 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.09.029