기초과학 자율운영 중점연구소

수학과에서 아래와 같이 colloquium를 실시합니다.

많은 관심과 참여 부탁드립니다.

주관: 기초과학연구소(자율운영 중점연구소지원사업)

일시: 2025년 3월 6일 목요일 16:30

장소: 팔달관 621호

연사: 신재민 교수(충북대학교 수학과)

주제: High-order energy-stable methods for gradient flows

Abstract: Structure-preserving numerical methods aim to retain the essential physical properties of evolutionary systems throughout the computational process. In the context of gradient flows, ensuring energy dissipation is a crucial requirement, and the phase-field model is a well-known example. To achieve high-order temporal accuracy while maintaining this dissipative structure, the Convex Splitting Runge-Kutta (CSRK) method has been proposed by combining the convex splitting approach with multi-stage Runge-Kutta schemes. Using CSRK as a motivating example, this talk will explore broader challenges in the development of structure-preserving methods, including those designed for nonlinear wave equations and Hamiltonian systems, where properties such as energy conservation and symplecticity play a central role.