邮箱 English

Computational & Applied Math Seminar

Stability and Convergence of Exponential Integrators for Semi-linear Delay Differential Equations

  • 演讲者:赵景军(哈尔滨工业大学)

  • 时间:2020-09-01 10:00-11:00

  • 地点:Zoom (ID 62964492521)

Abstract:

This report is to analyze stability and convergence of exponential integrators for semi-linear delay differential equations. P- and GP-contractivity of explicit exponential Runge-Kutta methods is studied for linear autonomous delay differential equations. RN- and GRN-stability of explicit exponential Runge-Kutta methods is studied for semi-linear delay differential equations. D-convergence and conditional GDN-stability of exponential Runge-Kutta methods are also studied for semi-linear delay differential equations. Besides, Stiff convergence and conditional DN-stability of explicit exponential Runge-Kutta methods are investigated and the stiff order conditions are derived up to order four.