Author Archives: pjy40
HYKE meeting 2024
Date: 22nd August (Thursday), 2024
Place: #702, Natural Science Building, Hanyang University
10:30 | Opening |
11:00 – 11:40 | 윤재영 박사 (서울대학교) Winfree Dynamics with Higher-Order Coupling in Deterministic and Stochastic Regimes |
Lunch | |
14:00 – 14:40 | 이재용 교수 (중앙대학교) Deep learning approach for solving kinetic equations |
14:50 – 15:30 | 양효선 교수 (경희대학교) Order enhanced numerical schemes through non-polynomial approximation |
Break | |
15:50 – 16:30 | 고승찬 교수 (인하대학교) Mathematical Theory of Neural Network Approximation and its Application to Scientific Machine Learning |
16:30 – 17:00 | Discussion |
Dinner |
Hyeong-Ohk Fest on Nonlinear PDEs, Collective Dynamics and Finance
Hyeong-Ohk Fest on Nonlinear PDEs, Collective Dynamics and Finance
Seoul National University, Seoul, Korea, June 6-8, 2024
Seminar in July 2024
Time: July 25nd (Thursday) 10:30
Place: Natural Science Building #744
Speaker: Prof. Woojoo Shim (Kyungpook National University)
Title: Synchronization estimate of the discrete Kuramoto model with multiplicative random noise
Abstract:
In this talk, we study the emergence of synchronization of time-discretization of the Kuramoto model with multiplicative noise. First, we will briefly describe several methods for approximating the solution of stochastic differential equations, including the method we used in the paper. Then, we introduce the existing results of the continuous-time stochastic Kuramoto model and the discrete-time deterministic Kuramoto model. Finally, we will discuss a sufficient condition that guarantees the identical oscillators in the discrete-time Kuramoto model with multiplicative noise are asymptotically synchronized almost surely.
Matlab 기초
int, float
array(vector, matrix)
index
k:n
k:h:n
linspace
matrix computation + * .* ^ .^ ./
eye, zeros, ones,
det, inv, eig, diag, A\b
plot
quiver
line segment
polar
loop(for, while)
if, switch
ode example:runge-kutta
ode solver
saveas
print
table of contents test
Table of contents
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Here is section 3
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Here is section 4
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Seminar in May 2024
1.
Time: May 22nd (Wednesday) 10:30
Place: Natural Science Building #744
Speaker: Jaeyoung Yoon (Seoul National University)
Title: Measure-valued death state and local sensitivity analysis for Winfree model with uncertain high-order couplings
Abstract:
We study the measure-valued death state and local sensitivity analysis of the Winfree model and its mean-field counterpart with uncertain high-order couplings. The Winfree model is the first mathematical model for synchronization, and it can be cast as the effective approximation of the pulse-coupled model for synchronization, and it exhibits diverse asymptotic patterns depending on system parameters and initial data. For the proposed models, we present several frameworks leading to oscillator death in terms of system parameters and initial data, and the propagation of regularity in random space.
2.
Time: May 29th (Wednesday) 10:30
Place: Natural Science Building #744
Speaker: Dr. Seonwoo Kim (Korea Institute for Advanced Study)
Title: Hierarchical metastability structure in the reversible inclusion process
Abstract:
In this talk, I will discuss the hierarchical decomposition of metastability, which is ubiquitous in stochastic dynamical systems with complicated energy landscapes, and in particular the mechanism that triggers such a multi-scale phenomenon. Then, to fix ideas, I will focus on a specific example, the reversible inclusion process on a finite graph, where the hierarchical structure is based on the graph distance between the sites with maximum invariant measure. Then, I will briefly sketch the idea of proofs for the main theorems.
Shih-Hsien Fest on Hyperbolic Conservation Laws and Kinetic Theory
Shih-Hsien Fest on Hyperbolic Conservation Laws and Kinetic Theory
Seoul National University, Seoul, Korea, April 4-5, 2024
2024년 수학과 봄 견학
일시: 5월 3일 금요일
장소: 딜로이트 안진회계법인
일정
– 오후 12시 한양대 수학과 742호 집결
– 점심식사 및 오리엔테이션
– 오후 1시경 견학장소로 이동
– 오후 2시~4시 설명회 및 오피스투어
– 오후 4시경 일정 종료 예상
참여 인원:
수학과 학부생 21명
대학원생 1명
교수 3명
문의 : 박진영 교수(jinyeongpark@hanyang.ac.kr)