##### Speaker

Dr. Zheng Sun, Assistant Professor, Department of Mathematics, University of Alabama at Tuscaloosa

##### Title

Mathematics Seminar Series

##### Subtitle

Strong stability of explicit Runge-Kutta methods for linear semi-negative problems

##### Physical Location

Allen 411

**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