数值试验表明,与梯形方法相比,TR—BDF2及应用过程中可以取较大步长,3- 精度要求一定时,新算法大大减少了计算量. 关键词:梯形方法;TR—BDF2;L一稳定;非线性常微分方程 中图分类号:O241.81 文献标志码 :A 文章编号:1672—8513(2013)03—0194—04 TR ——BDF2methodforsolvingtheordinarydifferentialequations ...
TR-BDF2 methodthermal radiative diffusiontrapezoidal-BDF2 temporal discretization schemenonlinear grey radiative diffusionCrank-Nicholson schemeWe apply the Trapezoidal/BDF2 (TR/BDF2) temporal discretization scheme to nonlinear grey radiative diffusion. This is a scheme that is not well-known within the ...
The application of the TR-BDF2 method to second order problems typical of structural mechanics and seismic engineering is discussed. A reformulation of this method is presented, that only requires the solution of algebraic systems of size equal to the number of displacement degrees of freedom. A ...
I have satisfied all of the main method requirements, which include preprocessing half the grid with Crank-Nicolson, assembling the second-order backward method with the preprocessed grid, and implementing the boundary conditions for the TR and BDF2 steps....
We analyze monotonicity, strong stability and positivity of the TR-BDF2 method, interpreting these properties in the framework of absolute monotonicity. The radius of absolute monotonicity is...doi:10.1007/s10915-016-0267-9Bonaventura, LRocca, A. Della...
This work focuses on the numerical performance of HHT- α and TR-BDF2 schemes for dynamic frictionless unilateral contact problems between an elastic body and a rigid obstacle. Nitsche's method, the penalty method, and the augmented Lagrangian method are considered to handle unilateral contact ...