報告題目:Modeling a stochastic age-structured capital system with Poisson jumps using neural networks
報 告 人:張啟敏 (寧夏大學數學統計學院,教授、博導)
報告時間:2019年11月11日 上午9:50
報告地點:格致中樓500會議室
摘要:In this talk, an approach is investigated for modeling a stochastic age-structured capital system (SASCS) with Poisson jumps, in which the transfer rate of capital, noise intensity and jump intensity are approximated by feedforward neural networks (FNNs). The approximate stock of capital for the system is calculated using Euler’s scheme in time discretization. Based on Barkholder-Davis-Gundys inequality and Gronwalls lemma, the error between the approximate stock of capital and the actual stock of capital is estimated by using mean squares. Theoretical analysis of the convergence of the approximate stock of capital is conducted.
報告人簡介:張啟敏,寧夏大學二級教授,博士研究生導師,寧夏自治區313人才。中國生物數學學會常務理事,中國人口學會理事和寧夏統計學會理事。長期從事生物種群及固定資產建模的數值計算、種群動力學行為和最優控制理論研究。主持完成國家自然基金項目2項、國家社科基金項目1項和省部級項目6項,目前在研國家自然基金1項。出版學術專著2部,發表SSCI和SCI檢索論文60余篇。
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理學院
2019年11月7日