Mathematics Seminar 09/02/22

Abstract:  In scientific and engineering computing, we usually encounter numerical discretizations of time-dependent equation systems associated with conserved or decreasing energy. The strong stability of a time stepping method refers to its ability to preserve the monotone energy-decay law at the discrete level, which may provide improved robustness for simulations.  In this talk, we present a unified study on strong stability of explicit Runge-Kutta methods for linear semi-negative problems. In particular, we prove that for all nonnegative integers k, RK methods corresponding to (4k+3)-th order truncated Taylor series are always strongly stable. Some related recent works will also be discussed.

For more information, please contact:  Dr. Vu Thai Luan, luan@math.msstate.edu, (662)-325-7162