Colloquium of fall semester in 2024

Posted on 2024년 09월 02일 by pjy40

HYKE meeting 2024

Posted on 2024년 07월 23일 by pjy40

Date: 22nd August (Thursday), 2024
Place: #702, Natural Science Building, Hanyang University

HYKE2024 program(pdf)

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

Posted on 2024년 07월 17일 by pjy40

Hyeong-Ohk Fest on Nonlinear PDEs, Collective Dynamics and Finance

Seoul National University, Seoul, Korea, June 6-8, 2024

Seminar in July 2024

Posted on 2024년 07월 08일 by pjy40

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

Posted on 2024년 05월 13일 by pjy40

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

Posted on 2024년 05월 13일 by pjy40

Table of contents

Section 1
Section 2
Section 3
Section 4

Here is section 1

blah
blah

Here is section 2

blah
blah

Here is section 3

blah
blah

Here is section 4

blah
blah

Seminar in May 2024

Posted on 2024년 05월 02일 by pjy40

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.