The Bathe time integration method with controllable spectral radius: The ρ∞-Bathe method

摘要: Abstract We consider the Bathe implicit time integration method and focus on step splitting ratio spectral radius at large steps to improve generalize scheme. The objective is be able prescribe amplitude decay (dissipation) period elongation (dispersion) for numerical integration, achieve this aim in a direct optimum manner with minimum number of parameters. show that use effective smooth no very decays, correspondingly small elongations while maintaining second-order accuracy. analyze effects stability accuracy scheme illustrate these parameters comparison previously published methods. Furthermore, we proper setting more accurate results may obtained some analyses.