모바일 메뉴 닫기
 

4단계BK21

연구실적

연세대학교 수리과학 및 계산 교육연구단

YONSEI Mathematical Sciences and Computation


 

 

논문(3차년도)                               [2차년도]                                       [1차년도]

 

Dual System Least-Squares Finite Element Method for a Hyperbolic Problem

E Lee; H Na

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS,202201

GREEN'S FUNCTION FOR SECOND ORDER PARABOLIC EQUATIONS WITH SINGULAR LOWER ORDER COEFFICIENTS

S Kim; L Xu

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,202201

On well-posedness and singularity formation for the Euler–Riesz system

Y-P Choi; I-J Jeong

Journal of Differential Equations,202201

Two-Stage Deep Anomaly Detection With Heterogeneous Time Series Data

K-J Jeong; J-D Park; K Hwang; S-L Kim; W-Y Shin

IEEE ACCESS,202201

Well-Posedness and Singularity Formation for Inviscid Keller–Segel–Fluid System of Consumption Type

K Kang; I-J Jeong

COMMUNICATIONS IN MATHEMATICAL PHYSICS,202201

A novel hybrid difference method for an elliptic equation

D Shin; Y Jeon;E-J Park

APPLIED MATHEMATICS AND COMPUTATION,202202

Community reinforcement: An effective and efficient preprocessing method for accurate community detection

Y Kang; J-S Lee; W-Y Shin; S-W Kim

KNOWLEDGE-BASED SYSTEMS,202202

Impedance-based capacity estimation for lithium-ion batteries using generative adversarial network

S Kim; YY Choi; J-I Choi

APPLIED ENERGY,202202

Independence over arbitrary sets in NSOP1 theories

B Kim; J Dobrowolski; N Ramsey

ANNALS OF PURE AND APPLIED LOGIC,202202

Multiscale stochastic elasticity of variance for options and equity linked annuity; A Mellin transform approach

J-H Seo; J-H Kim

MATHEMATICS AND COMPUTERS IN SIMULATION,202202

On a generalized Batyrev’s cone conjecture

SR Choi; Y Gongyo

MATHEMATISCHE ZEITSCHRIFT,202202

One dimensional consensus based algorithm for non-convex optimization

Y-P Choi; D Koo

Applied Mathematics Letters,202202

Optimal control problem of various epidemic models with uncertainty based on deep reinforcement learning

J Lee; Y-G Hwang; H-D Kwon

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,202202

Parameter identification and identifiability analysis of lithium-ion batteries

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

ENERGY SCIENCE & ENGINEERING,202202

Temporal decays and asymptotic behaviors for a Vlasov equation with a flocking term coupled to incompressible fluid flow

K Kang, Y-P Choi; HK Kim; J-M Kim

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,202202

Unpaired-Paired Learning for Shading Correction in Cone-Beam Computed Tomography

HS Park; K Jeon; S-H Lee; JK Seo

IEEE ACCESS,202202

A Mellin Transform Approach to the Pricing of Options with Default Risk

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

Computational Economics ,202203

Explainable gait recognition with prototyping encoder-decoder

J Moon; Y-M Shin; J-D Park; NH Minaya; W-Y Shin; S-I Choi

Plos ONE,202203

Optimal control problem of an SIR model with random inputs based on a generalized polynomial chaos approach.

Y-G Hwang; J Lee; H-D Kwon

International Journal of Numerical Analysis and Modeling,202203

Staggered DG Method with Small Edges for Darcy Flows in Fractured Porous Media

L Zhao; D Kim; E-J Park; E Chung

JOURNAL OF SCIENTIFIC COMPUTING,202203

Variance Swaps Under Multiscale Stochastic Volatility of Volatility

M-K Lee; S-W Kim; J-H Kim

METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY,202203

DeepNC: Deep Generative Network Completion

C Tran; W-Y Shin; A Spitz; M Gertz

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE,202204

Existence of generalized solutions for Keller-Segel-Navier-Stokes equations with degradation in dimension three

K Kang; D Kim

Mathematics in Engineering,202204

Machine learning approaches to predicting no-shows in pediatric medical appointment

D Liu; W-Y Shin; E Sprecher; K Conroy; O Santiago; G Wachtel; M Santillana

NPJ DIGITAL MEDICINE,202204

On universal norm elements and a problem of Coleman

S Seo

Moscow Mathematical Journal,202204

Transcutaneous application of ultrasound enhanceds the effects of finasteride in murine model of androgenic alopecia

J Kim; H-C Kim; K Kowsari; K Yoon; S-S Yoo

ULTRASONOGRAPHY,202204

A sharp error analysis for the DG method of optimal control problems

W Choi; Y-P Choi

AIMS Mathematics,202205

Local Numerical Equivalences and Okounkov Bodies in Higher Dimensions

SR Choi; J Park; J Won

MICHIGAN MATHEMATICAL JOURNAL,202205

Cost-Benefit Analysis of Tafenoquine for Radical Cure of Plasmodium vivax Malaria in Korea

J Lee; J-S Yeom; J Suh; JH Kim; J-D Kim; C Kim; JY Choi

JOURNAL OF KOREAN MEDICAL SCIENCE,202206

Differential evolution method to find optimal location of a single-element transducer for transcranial focused ultrasound therapy

TY Park; H-J Kim; SH Park; WS Chang; H Kim; K Yoon

COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE,202206

Drag, lift, and torque coefficients for various geometrical configurations of elliptic cylinder under Stokes to laminar flow regimes

G Oh; H Park; J-I Choi

AIP ADVANCES,202206

Feasibility of Upper Cranial Nerve Sonication in Human Application via Neuronavigated Single-Element Pulsed Focused Ultrasound

ST Brinker; P Balchandani; AC Seifert; H-J Kim; K Yoon

ULTRASOUND IN MEDICINE AND BIOLOGY,202206

Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space

K Kang; B Lai; C-C Lai; T-P Tsai

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,202206

Large friction-high force fields limit for the nonlinear Vlasov–Poisson–Fokker–Planck system

JA Carrillo; Y-P Choi; Y Peng

Kinetic and Related Models,202206

Local well-posedness in the Wasserstein space for a chemotaxis model coupled to incompressible fluid flows

K Kang; HK Kim

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,202206

Utility-Embraced Microaggregation for Machine Learning Applications

S Lee; W-Y Shin

IEEE ACCESS,202206

A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis

L Zhao; E-J Park; W Kim

COMPUTERS & MATHEMATICS WITH APPLICATIONS,202207

A Staggered Discontinuous Galerkin Method for Quasi-Linear Second Order Elliptic Problems of Nonmonotone Type

L Zhao; E-J Park

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS,202207

Enhancement of cerebrospinal fluid tracer movement by the application of pulsed transcranial focused ultrasound

S-S Yoo; H-C Kim; J Kim; E Kim; K Kowsari; JV Reet; K Yoon

SCIENTIFIC REPORTS,202207

Existence of generalized solutions to an attraction-repulsion Keller-Segel system with degradation

K Kang; D Kim; S-O Yang

Journal of Mathematical Analysis and Applications,202207

Pricing path-dependent exotic options with flow-based generative networks

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

APPLIED SOFT COMPUTING,202207

Stability analysis of the implicit finite difference schemes for nonlinear Schrödinger equation

E Lee; D Kim

AIMS Mathematics,202207

Tight wavelet filter banks with prescribed directions

Y Hur;

International Journal of Wavelets Multiresolution and Information Processing,202207

A fidelity-embedded learning for metal artifact reduction in dental CBCT

HS Park; JK Seo; CM Hyun; SM Lee; K Jeon

MEDICAL PHYSICS,202208

Bulk-Deformed Potentials for Toric Fano Surfaces, Wall-Crossing, and Period

H Hong; Y-S Lin; J Zhao

INTERNATIONAL MATHEMATICS RESEARCH NOTICES,202208

Controlled pattern formation of stochastic Cucker–Smale systems with network structures

Y-P Choi; DE Oh; O Tse

Communications in Nonlinear Science and Numerical Simulation,202208

Evaluation of Intervention Policies for the COVID-19 Epidemic in the Seoul/Gyeonggi Region through a Model Simulation

J Lee; J Seok; Y Lee; JY Choi; J-P Choi; H Seo; S Lee

YONSEI MEDICAL JOURNAL,202208

Heterogeneous impact of Covid-19 response on tuberculosis burden by age group

J Lee; YA Kang; B Kim

Scientific Reports,202208

Monolithic projection-based method with staggered time discretization for solving non-Oberbeck-Boussinesq natural convection flows

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

JOURNAL OF COMPUTATIONAL PHYSICS,202208

Transport Capacity Optimization for Resource Allocation in Tera-IoT Networks

C Jeong; C-J Chun; W-Y Shin; I-M Kim

IEEE Internet of Things Journal,202208

Deep learning method for reducing metal artifacts in dental cone-beam CT using supplementary information from intra-oral scan

CM Hyun; T Bayaraa; HS Yun; T-J Jang; HS Park; JK Seo

PHYSICS IN MEDICINE AND BIOLOGY,202209

Multivariate tight wavelet frames with few generators and high vanishing moments

Z Lubberts; Y Hur; KA Okoudjou

International Journal of Wavelets Multiresolution and Information Processing,202209

Quantified overdamped limit for kinetic Vlasov–Fokker–Planck equations with singular interaction forces

Y-P Choi; O Tse

Journal of Differential Equations,202209

Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity

J Neustupa; P Penel; M Yang

Journal of Mathematical Fluid Mechanics,202209

A Fully Automated Method for 3D Individual Tooth Identification and Segmentation in Dental CBCT

TJ Jang; KC Kim; HC Cho; JK Seo

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE,202210

An accurate and stable numerical method for option hedge parameters

J Cho; Y Kim; S Lee

APPLIED MATHEMATICS AND COMPUTATION,202210

Bounds for 2-Selmer ranks in terms of seminarrow class groups

H Yoo; M Yu

PACIFIC JOURNAL OF MATHEMATICS,202210

Error analysis for the pseudostress formulation of unsteady Stokes problem

D Kim; E-J Park; B Seo

NUMERICAL ALGORITHMS,202210

Global weak solutions to a chemotaxis-Navier-Stokes system in R3

K Kang; J Lee; M Winkler

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,202210

Graph Anomaly Detection With Graph Neural Networks: Current Status and Challenges

H Kim; BS Lee; W-Y Shin; S Lim

IEEE ACCESS,202210

Improved regularity criteria for the MHD equations in terms of pressure using an Orlicz norm

M Yang; HJ Choe; J Neustupa

Applied Mathematics Letters,202210

Local and global existence of solutions of a Keller-Segel model coupled to the incompressible fluid equations

K Kang; H Bae

Journal of Differential Equations,202210

On regular solutions and singularity formation for Vlasov/Navier-Stokes equations with degenerate viscosities and vacuum

Y-P Choi; J Jung

Kinetic and Related Models,202210

Recurrent neural network-induced Gaussian process

X Sun; S Kim; J-I Choi

NEUROCOMPUTING,202210

Deep neural network for navigation of a single-element transducer during transcranial focused ultrasound therapy: proof of concept

M Choi; M Jang; S-S Yoo; G Noh; K Yoon

IEEE JOURNAL OF BIOMEDICAL AND HEALTH INFORMATICS,202211

A pressure robust staggered discontinuous Galerkin method for the Stokes equations

L Zhao; E-J Park; E Chung

COMPUTERS & MATHEMATICS WITH APPLICATIONS,202212

Application of Artificial Intelligence Computer-Assisted Diagnosis Originally Developed for Thyroid Nodules to Breast Lesions on Ultrasound

SE Lee; E Lee; E-K Kim; JH Yoon; VY Park; JH Youk; JY Kwak

JOURNAL OF DIGITAL IMAGING,202212

DATa: Domain Adaptation-aided deep Table detection using visual-lexical representations

H Kwon; J An; D Lee; W-Y Shin

KNOWLEDGE-BASED SYSTEMS,202212

Estimates for fundamental solutions of parabolic equations in non-divergence form

S Kim; H Dong; S Lee

Journal of Differential Equations,202212

Jordan–Landau theorem for matrices over finite fields

G Cheong; J Lee; H Nam; M Yu

LINEAR ALGEBRA AND ITS APPLICATIONS,202212

Propagation of Chaos in theNonlocal AdhesionModelsfor TwoCancerCellPhenotypes

J Ahn; M Chae; Y-P Choi; J Lee

JOURNAL OF NONLINEAR SCIENCE,202212

 

 

 


특허

 

배터리의 상태 추정 장치 및 방법

최정일, 해외출원, 202210547055.9, 20220518

차량, 배터리 수명 예측 장치 및 배터리 수명 예측 방법

최정일, 해외출원, 202211601714.9, 20221213

네트워크 정렬 방법 및 장치

신원용, 국내출원, 10-2022-0032657, 20220316

개인화된 선호도 학습을 통한 무선 데이터 캐싱 방법 및 장치

신원용, 국내등록, 10-2385926, 20220407

차량, 배터리 수명 예측 장치 및 배터리 수명 예측 방법

최정일, 국내출원, 10-2022-0069538, 20220608

이차전지 수명 분석방법 및 장치

최정일, 국내출원, 10-2022-0071294, 20220613

프로토타입 유사도 기반 그래프 네트워크 해석 장치 및 방법

신원용, 국내출원, 10-2022-0072258, 20220614

공기 균질 분산 내부구조를 갖는 정화장치

최정일, 국내출원, 10-2022-0104106, 20220819

엣지 증강을 이용하여 강화된 네트워크 정렬 장치 및 방법

신원용, 국내출원, 10-2022-0139907, 20221027

네트워크 임베딩을 이용한 다양성 강화 추천 장치 및 방법

신원용, 국내등록, 10-2467676, 20221111

원샷 분산 특징 학습 장치 및 방법

신원용, 국내출원, 10-2022-0153364, 20221116

바나듐 레독스 흐름 전지의 바나듐 이온의 농도 추정 방법 및 시스템

최정일, 국내출원, 10-2022-0175991, 20221215

배터리의 상태 추정 장치 및 방법

최정일, 해외출원, 17/729,954, 20220426

그래프 신경망을 이용한 부호 인지 추천 장치 및 방법

신원용, 해외출원, 18/054,073, 20221109

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

신원용, 해외출원, 18/056,317, 20221117

차량, 배터리 수명 예측 장치 및 배터리 수명 예측 방법

최정일, 해외출원, 18/077,615, 20221208

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

최정일, 해외출원, PCT/KR2022/008158, 20220609

 

 


산업·사회 문제 해결

 

▷ 참여교수: 이지현 - 지역사회와 병원 내 코로나 확산 방지를 위한 대응 전략의 영향 평가 및 효율적인 방안 제시

예방의학과, 감염내과 교수들과 병원 내 감염확산 방지를 위해 스크리닝 문진, 의료진 방어복 사용과 같은 대응 전략을 대상으로 효과적인 방안을 찾는 연구를 수행하였다. 또한, 의사 및 서울시 보건 담당자와 협력하여 사회적 거리두기의 완화 및 등교수업을 실시할 때, 코로나 발생에 미치는 연구를 수행하였으며, 그 결과를 논문에 게재하였다.

Seok, J., Lee, Y., Choi, J. Y., Choi, J. P., Seo, H., Lee, S., & Lee, J. (2022). Evaluation of Intervention Policies for the COVID-19 Epidemic in the Seoul/Gyeonggi Region through a Model Simulation. Yonsei Medical Journal, 63(8), 707-716.

 

▷ 참여교수: 신원용 - 기계학습을 통한 병원에서 사용가능한 no-show 예측 알고리즘 개발

미국 Harvard Medical School의 Mauricio Santillana 교수팀과 기계학습 방법을 활용하여 소아과 병동에서의 환자 no-show를 예측하는 알고리즘을 개발하였다. No-show 예측에 중요한 날씨 정보와 같은 중요한 정보를 추출하는 방법론을 개발하였고, 해석가능한 인공지능 개발을 통해 임상의가 원인 진단이 가능하도록 하였다. 해당 결과물은 헬스케어 분야 최고 권위의 국제학술지인 npj Digital Medicine (IF=15.357, JCR 상위 0.459%, 네이처 파트너지)에 게재되었다.

 

▷ 참여교수: 이은정 - SERA (딥러닝 의료영상 진단 툴)개발

연세대 세브란스 병원 영상의학과 곽진영 교수팀과 딥러닝을 통해 초음파 영상으로부터 암을 진단해 내는 알고리즘을 개발하고 이를 병원내외 의료진이 직접 이용하여 진단에 도움을 받을 수 있도록 하는 프로그램을 보급하였다. 이를 통하여 경험이 부족한 의료진의 진단 능력 훈련에 이용하고, 세브란스내 각종 수업에도 쓰이고 있으면 또한 다양한 분야의 연구에서도 이 진단툴을 이용하고 있다.

 

▷ 참여교수: 윤경호 - 집속초음차 치료기의 성능향상 및 최적 치료 알고리즘 개발

연세대 세브란스 병원 신경외과 장원석 교수팀과 비침습적 뇌 질환 치료를 위한 집속초음파 치료기기의 치료효과를 제고하고 부작용을 최소화할 수 있는 최적 치료 알고리즘을 개발하였다. 본 연구결과는 관련 분야 최고 권위 저널인 Computer Methods and Programs in Biomedicine에 게재되었다.

 

▷ 참여교수: 윤경호 - 탈모증의 국소적 효과를 강화할 수 있는 탈모치료의 패러다임 제시

하버드 의대 Brigham and Women’s Hospital 유승식 교수팀과 탈모증(androgenic alopecia) 쥐 모델에서 저강도 집속초음파를 이용하여 finasteride의 효과를 국소적으로 강화할 수 있음을 보여 탈모 치료의 새로운 패러다임을 제시하였다. 본 연구결과는 Ultrasonography에 게재되었다.

 

▷ 참여교수: 윤경호 - 초음파 변환기의 실시간 위치 정보 제공 가능한 치료보조 시스템 개발

하버드 의대 Brigham and Women’s Hospital 유승식 교수팀과 딥러닝을 통해 경두개 집속초음파 치료에서 초음파 변환기의 위치의 실시간 네비게이션 정보를 제공하는 인공지능 치료 보조 시스템을 개발하였다. 본 연구결과는 관련 분야 최고 권위 저널인 IEEE Journal of Biomedical and Health Informatics에 게재되었다.