민조홍 교수는 여러 자연현상에 대한 수리모델링 및 근사알고리듬의 개발과 분석에 연구를 집중해왔다. 전산기하학, 편미분방정식에 대한 유한차분 근사법, Helmoltz-Hodge 분해 등의 내용을 연구해왔으며, 최근의 연구내용은 Shortley-Weller 유한차분법의 수렴성 증명이다. 연구결과들은 22편의 논문으로 발표되었는데, 이 중 13편은 SCI 수리물리 분야 상위 10% 저널인 <Journal of Computational Physics(JCP)>에, 4편은 응용수학 분야 상위 10% 저널인 <Journal of Scientific Computing>에 출판되었다. 특히나 JCP저널은 수치해석학 최고의 저널 중 하나로, 민조홍 교수의 연구결과는 2007년과 2009년, 분기별 ’top 25 hottest articles’로 뽑혔다.
REFINED PERFORMANCE ESTIMATION FOR THE l-STEP LOOKAHEAD POLICY IN REINFORCEMENT LEARNINGJournal of the Korean Society for Industrial and Applied Mathematics, 2024, v.28 no.4, 271-285
Gradient Explosion Free Algorithm for Training Recurrent Neural NetworksJournal of the Korean Society for Industrial and Applied Mathematics, 2020, v.24 no.4, 331-350
A semi-implicit and unconditionally stable approximation of the surface tension in two-phase fluidsJOURNAL OF COMPUTATIONAL PHYSICS, 2019, v.397, UNSP 108829
AN ENERGY-STABLE AND SECOND-ORDER ACCURATE METHOD FOR SOLVING THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONSJournal of the Korean Society for Industrial and Applied Mathematics, 2019, v.23 no.2, 93~114
AN OPTIMAL CONTROL APPROACH TO CONFORMAL FLATTENING OF TRIANGULATED SURFACESJournal of the Korean Society for Industrial and Applied Mathematics, 2019, v.23 no.4, 351-365
AN OPTIMAL BOOSTING ALGORITHM BASED ON NONLINEAR CONJUGATE GRADIENT METHODJOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 2018, v.22 no.1, 1~13
An efficient MILU preconditioning for solving the 2D Poisson equation with Neumann boundary conditionJOURNAL OF COMPUTATIONAL PHYSICS, 2018, v.356, 115-126
An energy-stable method for solving the incompressible Navier–Stokes equations with non-slip boundary conditionJournal of Computational Physics, 2018, v.360, 104-119
Comparison of eigenvalue ratios in artificial boundary perturbation and Jacobi preconditioning for solving Poisson equationJournal of Computational Physics, 2017, v.349, 1-10
AN ELEMENTARY PROOF OF THE OPTIMAL RECOVERY OF THE THIN PLATE SPLINE RADIAL BASIS FUNCTIONJournal of the Korean Society for Industrial and Applied Mathematics, 2015, v.19 no.4, 409-416
A REVIEW OF THE SUPRA-CONVERGENCES OF SHORTLEY-WELLER METHOD FOR POISSON EQUATIONJournal of the Korean Society for Industrial and Applied Mathematics, 2014, 제18권 1호, 51-60
CONVERGENCE ANALYSIS ON GIBOU-MIN METHOD FOR THE SCALAR FIELD IN HODGE-HELMHOLTZ DECOMPOSITIONJournal of the Korean Society for Industrial and Applied Mathematics, 2014, 제18권 4호, 305-315