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4단계BK21

연구실적

연세대학교 수리과학 및 계산 교육연구단

YONSEI Mathematical Sciences and Computation


 

 

논문(2차년도)                                                                             [1차년도]

 

Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials

K Kang; HK Kim; T Lim; G Seo

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 202101

On the existence of unique global-in-time solutions and temporal decay rates of solutions to some non-Newtonian incompressible fluids

H Bae; K Kang

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 202102

Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications

K Kang; H Miura; T-P Tsai

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 202106

Global well-posedness of logarithmic Keller-Segel type systems

J Ahn; K Kang; J Lee

JOURNAL OF DIFFERENTIAL EQUATIONS, 202106

Global classical solutions for chemotaxis-fluid systems in two dimensions

J Ahn; K Kang; C Yoon

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 202101

Analytic behavior of some Euler products

J Han; H Ki; D Park

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 202104

WEAK CANONICAL BASES IN NSOP1 THEORIES

B Kim

JOURNAL OF SYMBOLIC LOGIC, 202109

The relativized Lascar groups, type-amalgamation, and algebraicity

J Dobrowolski; B Kim; A Kolesnikov; J Lee

JOURNAL OF SYMBOLIC LOGIC, 202106

Green's function for nondivergence elliptic operators in two dimensions

H Dong; S Kim

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 202109

On C-1/2,C-1, C-1,C-2, and C-0,C-0 estimates for linear parabolic operators

H Dong; L Escauriaza; S Kim

JOURNAL OF EVOLUTION EQUATIONS, 202112

ELS pricing and hedging in a fractional Brownian motion environment

S- Kim; H-G Kim; J-H Kim

CHAOS SOLITONS & FRACTALS, 202101

Fractional stochastic volatility correction to CEV implied volatility

H-G Kim; S-J Kwon; J-H Kim

QUANTITATIVE FINANCE, 202104

Variance swaps with deterministic and stochastic correlations

A-R Han; J-H Kim; S-W Kim

COMPUTATIONAL ECONOMICS, 202104

Pricing variance swaps under hybrid CEV and stochastic volatility

J Cao; J-H Kim; W Zhang

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 202104

Foreign exchange rate volatility smiles and smirks

S-Y Choi; J-H Kim; J-H Yoon

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 202105

On circular distributions and a conjecture of Coleman

D Burns; S Seo

ISRAEL JOURNAL OF MATHEMATICS, 202103

Counting self-conjugate (s, s+1, s+2)-core partitions

H Cho; J Huh; J Sohn

RAMANUJAN JOURNAL, 202105

A tiling proof of Euler's Pentagonal Number Theorem and generalizations

D Eichhorn; H Nam; J Sohn

RAMANUJAN JOURNAL, 202104

New regularity criterion for suitable weak solutions of the surface growth model

J Choi; M Yang

APPLIED MATHEMATICS LETTERS, 202102

On the role of pressure in the theory of MHD equations

J Neustupa; M Yang

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 202108

A new sufficient condition for local regularity of a suitable weak solution to the MHD equations

J Neustupa; M Yang

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 202110

New Regularity Criteria for Weak Solutions to the MHD Equations in Terms of an Associated Pressure

J Neustupa; M Yang

Journal of Mathematical Fluid Mechanics, 202108

Modelling the impact of rapid diagnostic tests on Plasmodium vivax malaria in South Korea: a cost-benefit analysis

JH Kim; J Suh; WJ Lee; H Choi; J-D Kim; C Kim; JY Choi; R Ko; H Kim; J Lee; JS Yeom

BMJ Global Health, 202109

The effect of control measures on COVID-19 transmission in South Korea

T Lee; H-D Kwon; J Lee

PLoS One, 202103

The impact of two-dose varicella vaccination on varicella and herpes zoster incidence in South Korea using a mathematical model with changing population demographics

J Suh; T Lee; J-K Choi; J Lee; SH Park

VACCINE, 202104

Estimation of the reproduction number of influenza A(H1N1)pdm09 in South Korea using heterogeneous models

Y Lee ;DH Lee; H-D Kwon; C Kim; J Lee

BMC INFECTIOUS DISEASES, 202107

Estimating the basic reproductive number of varicella in South Korea incorporating social contact patterns and seroprevalence

T Lee; J Suh; J-K Choi; J Lee; SH Park

Human Vaccines & Immunotherapeutics, 202108

Predicting the impact of control strategies on the tuberculosis burden in South and North Korea using a mathematical model

H Cho; Y Park; J Seok; JS Yeom; JY Choi; HJ Kim; YA Kang; J Lee

BMJ Global Health, 202110

Large friction limit of pressureless Euler equations with nonlocal forces

Y-P Choi

JOURNAL OF DIFFERENTIAL EQUATIONS, 202110

Strong solutions to the inhomogeneous Navier–Stokes–BGK system

Y-P Choi; J Lee; S-B Yun

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 202102

Existence and hydrodynamic limit for a Paveri-Fontana type kinetic traffic model

Y-P Choi; S-B Yun

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 202104

Consensus of the Hegselmann-Krause opinion formation model with time delay

Y-P Choi; A Paolucci; C Pignotti

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 202104

Asymptotic stability of the phase-homogeneous Solution to the Kuramoto-Sakaguchi equation with inertia

Y-P Choi; S-Y Ha; Q Xiao; Y Zhang

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 202106

One dimensional singular Cucker–Smale model: Uniform-in-time mean-field limit and contractivity

Y-P Choi; X Zhang

JOURNAL OF DIFFERENTIAL EQUATIONS, 202106

Exponential synchronization of Kuramoto oscillators with time delayed coupling

Y-P Choi; C Pignotti

Communications in Mathematical Sciences, 202107

On the large-time behavior of Euler-Poisson/Navier-Stokes equations

Y-P Choi; J Jung

APPLIED MATHEMATICS LETTERS, 202108

Classical solutions for fractional porous medium flow

Y-P Choi; I-J Jeong

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 202109

On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space

Y-P Choi; J Jung

Journal of Mathematical Fluid Mechanics, 202111

Asymptotic analysis for a Vlasov-Fokker-Planck/Navier-Stokes system in a bounded domain

Y-P Choi; J Jung

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 202111

Relaxation to fractional porous medium equation from Euler-Riesz system

Y-P Choi; I-J Jeong

JOURNAL OF NONLINEAR SCIENCE, 202112

Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces

JA Carrillo; Y-P Choi; J Jung

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 202110

Mean-Field Limits: From Particle Descriptions to Macroscopic Equations

JA Carrillo; Y-P Choi

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 202109

Noncommutative Homological Mirror Functor

Ch-H Cho; H Hong; S-C Lau

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 202106

Novel Adaptive Hybrid Discontinuous Galerkin Algorithms for Elliptic Problems

D Shin; Y Hwang; E-J Park

Computational Methods in Applied Mathematics, 202110

Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations

M Arshad; E-J Park; D Shin

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 202109

Morley finite element methods for the stationary quasi-geostrophic equation

D Kim; A Pani; E-J Park

Computer Methods in Applied Mechanics and Engineering, 202103

Staggered DG method for coupling of the stokes and darcy-forchheimer problems

L Zhao; ET Chung; E-J Park; G Zhou

SIAM Journal on Numerical Analysis, 202102

Automated ultrasound assessment of amniotic fluid index using deep learning

HC Cho; S Sun; CM Hyun; J-Y Kwon; B Kim; Y Park; JK Seo

Medical Image Analysis, 202104

Deep learning-based solvability of underdetermined inverse problems in medical imaging

CM Hyun; SH Baek; M Lee; SM Lee; JK Seo

Medical Image Analysis, 202104

Automatic detection and segmentation of lumbar vertebrae from X-ray images for compression fracture evaluation

KC Kim; HC Cho; TJ Jang; JM Choi; JK Seo

Computer Methods and Programs in Biomedicine, 202104

Complementary Network for Accurate Amniotic Fluid Segmentation From Ultrasound Images

S Sun; J-Y Kwon; Y Park; HC Cho; CM Hyun; JK Seo

IEEE ACCESS, 202107

Pseudo-monochromatic Imaging in Industrial X-ray Computed Tomography

HS Park; J Jung; JK Seo

SIAM Journal on Imaging Sciences , 202109

Diagnosing thyroid nodules with atypia of undetermined significance/follicular lesion of undetermined significance cytology with the deep convolutional neural network

I Youn; E Lee; JH Yoon; HS Lee; M-R Kwon; J Moon; S Kang; SK Kwon; KY Jung; YJ Park; DJ Park; SW Cho; JY Kwak

Scientific Reports, 202110

Convolutional neural network to stratify the malignancy risk of Thyroid nodules: Diagnostic performance compared with the American college of radiology Thyroid imaging reporting and data system implemented by experienced radiologists

GR Kim; E Lee; HR Kim; JH Yoon; VY Park; JY Kwak

American Journal of Neuroradiology, 202108

Implications of US radiomics signature for predicting malignancy in thyroid nodules with indeterminate cytology

JYoon; E Lee; S-W Kang; K Han; VY Park; JY Kwak

European Radiology, 202107

The use of a light-emitting diode device for neck rejuvenation and its safety on thyroid glands

YI Lee; E Lee; K-H Nam; DY Shin; J Kim; J Suk; JY Kwak; JH Lee

Journal of Clinical Medicine, 202104

Combining radiomics with ultrasound-based risk stratification systems for thyroid nodules: an approach for improving performance

VY Park; E Lee; HS Lee; HJ Kim; J Yoon; J Son; K Song; HJ Moon; JH Yoon; GR Kim; JY Kwak

European Radiology, 202104

Numerical solution to the interface problem in a general domain using Moser’s deformation method

E Hong; E Lee; Y Jung; M Lim

Journal of Applied Mathematics and Computing, 202102

Numerical solutions for one and two dimensional nonlinear problems related to dispersion managed solitons

Y Kang; E Lee; Y-R Lee

Journal of the Korean Mathematical Society, 202107

A beneficial role of computer‑aided diagnosis system for less experienced physicians in the diagnosis of thyroid nodule on ultrasound

S Kang; E Lee; CW Chung; HN Jang; JH Moon; Y Shin; K Kim; Y Li; SM Shin; YH Kim; SK Kwon; CH Ahn; KY Jung; AR Hong; YJ Park; DJ Park; JY Kwak; SW Cho

Scientific Reports, 202110

Contribution of Reynolds shear stress to near-wall turbulence in Rayleigh–Bénard convection

J Ahn; K-H Kim; X Pan; J-I Choi

International Journal of Heat and Mass Transfer, 202112

Dynamic Pore Modulation of Stretchable Electrospun Nanofiber Filter for Adaptive Machine Learned Respiratory Protection

J Shin; S Jeong; J Kim; YY Choi; J Choi; JG Lee; S Kim; M Kim; Y Rho; S Hong; J-I Choi; CP Grigoropoulos; SH Ko

ACS Nano, 202110

Forecasting state-of-health of lithium-ion batteries using variational long short-term memory with transfer learning

S Kim; YY Choi; KJ Kim; J-I Choi

Journal of Energy Storage, 202109

Non-intrusive framework of reduced-order modeling based on proper orthogonal decomposition and polynomial chaos expansion

X Sun; X Pan; J-I Choi

Journal of Computational and Applied Mathematics, 202107

Mean thermal energy balance analysis in differentially heated vertical channel flows

K-H Kim; J Ahn; J-I Choi

Physics of Fluids, 202106

Non-intrusive reduced-order modeling for uncertainty quantification of space–time-dependent parameterized problems

X Sun; J-I Choi

Computers & Mathematics with Applications, 202104

PaScaL_TDMA: A library of parallel and scalable solvers for massive tridiagonal systems

K-H Kim; J-H Kang; X Pan; J-I Choi

Computer Physics Communications, 202104

Efficient monolithic projection-based method for chemotaxis-driven bioconvection problems

X Pan; S Chun; J-I Choi

Computers & Mathematics with Applications, 202102

Binary genetic algorithm for optimal joinpoint detection: Application to cancer trend analysis

S Kim; S Lee; J-I Choi; H Cho

Statistics in Medicine, 202102

“How to get consensus with neighbors?”: Rating standardization for accurate collaborative filtering

H-K Bae; H-O Kim; W-Y Shin; S-W Kim

Knowledge-Based Systems, 202112

Secrecy Outage Analysis of Multiuser Downlink Wiretap Networks with Potential Eavesdroppers

W Son; H Nam; W-Y Shin; BC Jung

IEEE Systems Journal, 202106

A Personalized Preference Learning Framework for Caching in Mobile Networks

A Mk; J Kim; KS Kim; W-Y Shin

IEEE Transactions on Mobile Computing, 202106

An improved approach for estimating social POI boundaries with textual attributes on social media

C Tran; DD Vu; W-Y Shin

Knowledge-Based Systems, 202102

Joint Mobile Charging and Coverage-Time Extension for Unmanned Aerial Vehicles

S Park; W-Y Shin; M Choi; J Kim

IEEE Access, 202106

Estimates for Green's functions of elliptic equations in non-divergence form with continuous coefficients

S Kim; S Lee

Annals of Applied Mathematics, 202105

REVIEW AND IMPLEMENTATION OF STAGGERED DG METHODS ON POLYGONAL MESHES

D Kim; L Zhao; E-J Park

JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 202109

Dual system least squares finite element method for the Helmholtz equation

N Song; E Lee

Results in Applied Mathematics, 202102

STOCHASTIC GRADIENT METHODS FOR L2-WASSERSTEIN LEAST SQUARES PROBLEM OF GAUSSIAN MEASURES

S Yun; X Sun; J-I Choi

JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 202112

 

 

 


특허

 

 

학습을 이용한 자기공명영상 복원을 위한 언더샘플링 장치 및 방법과 학습을 이용한 자기공명영상 복원 장치 및 방법, 그리고 이에 대한 기록 매체

서진근,이승철, 국내등록, 10-2210457, 20210126

유동 채널과 다공성 전극을 갖는 흐름 전지 시뮬레이션 장치 및 방법

최정일, 국내출원, 10-2021-0020641, 20210216

BMS, 이를 위한 적응형 모델 제공 장치 및 방법

최정일, 국내출원, 10-2021-0029259, 20210305

이차전지 열적 거동 시뮬레이션 장치 및 방법

최정일, 국내출원, 10-2021-0046324, 20210409

학습을 이용한 자기공명영상 복원을 위한 언더샘플링 장치 및 방법과 학습을 이용한 자기공명영상 복원 장치 및 방법, 그리고 이에 대한 기록 매체

서진근,이승철, US등록, 10989779, 20210427

데이터 센터용 바나듐 레독스 흐름 전지 및 이의 운용 방법

최정일, 국내출원, 10-2021-0068122, 20210527

레독스 흐름 전지용 바이폴라 플레이트, 스택 및 이를 이용하는 레독스 흐름 전지

최정일, 국내출원, 10-2021-0074552, 20210609

배터리의 상태 추정 장치 및 방법

최정일, 국내출원, 10-2021-0085428, 20210630

다공성 전극 내 혼합판이 삽입된 레독스 흐름 전지

최정일, US등록, 11069913, 20210720

인공 신경망을 이용한 소셜 네트워크 완성 방법 및 장치

신원용, 국내등록, 10-2284436, 20210727

그래프 인공 신경망 기반 엣지리스 네트워크 임베딩 장치 및 방법

신원용, 국내출원, 10-2021-0112209, 20210825

CT를 이용한 3D 두부 계측 랜드마크 자동 검출 장치 및 방법

서진근, 국내출원, 10-2021-0112124, 20210825

치과용 CBCT에서 개별 치아 자동 식별 분할 장치 및 방법

서진근, 국내출원, 10-2021-0112125, 20210825

미세입자 분포 추정 장치 및 방법

최정일, 국내출원, 10-2021-0121403, 20210913

전극 특성 검출 장치 및 방법

최정일, 국내출원, 10-2021-0142862, 20211025

이질적 다변량 시변 데이터를 이용한 이상 감지 장치 및 방법

신원용, 국내등록, 10-2321440, 20211028

드론 기반 네트워크 통신서비스 시스템 및 이를 이용한 통신서비스 확장방법

신원용, PCT출원, PCT/KR2021/015541, 20211101

초음파 이미지 기반 양수 지표 측정 장치 및 방법

서진근, 국내출원, 10-2021-0154711, 20211111

그래프 신경망을 이용한 부호 인지 추천 장치 및 방법

신원용, 국내출원, 10-2021-0155724, 20211112

연결 정보 없는 네트워크에서 노드 메타데이터를 사용한 영향력 최대화 노드 선택 장치 및 방법

신원용, 국내출원, 10-2021-0160174, 20211119

 

 


산업·사회 문제 해결

 

▷ 참여교수: 이지현

연세대 세브란스 병원 교수들과 병원 내 감염확산 방지를 위해 스크리닝 문진, 의료진 방어복 사용 등에 대한 대응전략의 가장 효과적인 방안을 찾는 연구를 수행 중이다. 또한, 세브란스 병원 교수 및 영국의 질병관리본부(PHI) 연구원들과 함께 사회적 거리두기의 완화 및 학교의 온라인 개학 이후 등교개학으로 전환했을 때, 예측가능한 문제점을 파악하는 연구를 수행하였으며, 그 결과를 논문 투고 할 예정이다.

- Evaluation of control measures for COVID-19 in Hospital

- Impact of Social Distancing and School Closure on the Spread of COVID-19

 

▷ 참여교수: 김정훈

효율적인 금융자산가격모형 개발과 다양한 파생금융상품에 대한 공정가격 결정에 대한 연구를 수행하여 저널에 출판하여 왔으며, COVID-19이 금융시장에 미친 영향에 대한 분석을 포함한 2020년 2학기 수행한 다음과 같은 연구내용 결과를 저널에 투고하였다.

- Is there a ‘qualitative’ impact of the COVID-19 pandemic on financial market?

- Efficient pricing of variance swaps under a rescaled double Heston stochastic volatility model

- Multiscale stochastic elasticity of variance model for options and equity linked annuity

 

▷ 참여교수: 최희준

한반도 상공에서 미세먼지들이 유입되어 사람들의 호흡기 질환과 피부병유발 등의 심각한 문제들이 발생하고 있다. 본 연구진(이광진박사, 최희준교수)은 서울에서 생기는 오염물질과 미세먼지 확산에 대한 난류모델을 개발하고 그 수치계산을 수행하였다. 이 결과는 JOURNAL OF APPLIED METEOROLOGY AND CLIMATOLOGY에 출간되었다.

 

▷ 참여교수: 서진근

삼성메디슨과 세브란스 산부인과와 공동으로 초음파 영상을 이용한 양수량 측정 자동화 방법을 세계 최초로 개발하였다. 양수지수 (Amniotic Fluid Index(AFI)는 태아의 건강상태에 대한 생물학적 수치로 양수의 양(정상, 과다, 부족)을 측정하는 것임. 자궁내 발육지연, 태반착색, 태아 곤란증과 관련하여 필수적이다. 그러나, AFI의 측정은 초음파 환경에서 수작업으로 수행함으로 의사의 피로도가 매우 높은 작업이며, 숙련된 전문가가 되는 과정에는 많은 시간과 노력이 필요하다. 이에 진료 현장의 작업흐름(Work-flow)을 극대화시킬 수 있는 “태아 양수 측정 자동화 시스템” 개발이 필요하였다. 서진근 교수 연구팀은 초음파 환경에서 딥러닝 기반의 “자동화된 양수 측정 시스템” 개발을 통해 사용자는 초음파 스캔에서 신속하고, 정확하고, 일관성 있는 AFI의 측정을 수행할 수 있도록 하였다. 또한 이결과는 impact factor 11.148인 저명저널 “Medical Image Analysis”에 게재하였다. (Automated ultrasound assessment of amniotic fluid index using deep learning, Medical Image Analysis, 2021)

 

▷ 참여교수: 이은정

연세대 세브란스 병원 영상의학과 곽진영 교수팀과 딥러닝을 통해 초음파 영상으로부터 암을 진단해 내는 알고리즘을 개발하고 이를 병원내 의료진이 직접 이용하여 진단에 도움을 받을 수 있도록 하는 프로그램을 보급하였다. 이를 통하여 경험이 부족한 의료진의 진단 능력 훈련에 이용하고 각종 연구에 그 결과를 사용하고 있다.