A second-order pseudo-transient method for steady-state problems

作者：Luo, Xin-long^*

来源：Applied Mathematics and Computation, 2010, 216(6): 1752-1762.

DOI：10.1016/j.amc.2009.12.029

• Pseudo-transient continuation
• Linear conservation law
• Nonlinear equations

This article gives a second pseudo-transient method for a special system of nonlinear equations, which arises from chemical reaction rate equations. This method uses a special second-order Rosenbrock method as the discrete difference scheme, which satisfies a linear conservation law. Moreover, it adaptively adjusts the time step in inverse proportion to an arithmetic mean of the current residual and the previous residual at every iteration step. For a singular system of nonlinear equations, under some standard assumptions, local convergence of the new method is addressed. Finally, some promise numerical results are also reported.

• 出版日期2010-5-15
• 单位北京邮电大学