A diffuse-interface model for axisymmetric immiscible two-phase flow. - Junseok Kim 004 (Appl. Math. Comput., 2005)

Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method. - Steven M. Wise; Junseok Kim 004; John S. Lowengrub (J. Comput. Phys., 2007)

An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation. - Yibao Li; Hyun Geun Lee; Darae Jeong; Junseok Kim 004 (Comput. Math. Appl., 2010)

A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint. - Seong-Deog Yang; Hyun Geun Lee; Junseok Kim 004 (Comput. Phys. Commun., 2010)

A Crank-Nicolson scheme for the Landau-Lifshitz equation without damping. - Darae Jeong; Junseok Kim 004 (J. Comput. Appl. Math., 2010)

Multiphase image segmentation using a phase-field model. - Yibao Li; Junseok Kim 004 (Comput. Math. Appl., 2011)

A conservative numerical method for the Cahn-Hilliard equation in complex domains. - Jaemin Shin 001; Darae Jeong; Junseok Kim 004 (J. Comput. Phys., 2011)

An unconditionally stable numerical method for bimodal image segmentation. - Yibao Li; Junseok Kim 004 (Appl. Math. Comput., 2012)

An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations. - Hyun Geun Lee; Junseok Kim 004 (Comput. Phys. Commun., 2012)

An Efficient and Accurate numerical Scheme for Turing Instability on a predator-prey Model. - Ana Yun; Darae Jeong; Junseok Kim 004 (Int. J. Bifurc. Chaos, 2012)

Numerical simulation of the three-dimensional Rayleigh-Taylor instability. - Hyun Geun Lee; Junseok Kim 004 (Comput. Math. Appl., 2013)

A conservative numerical method for the Cahn-Hilliard equation with Dirichlet boundary conditions in complex domains. - Yibao Li; Darae Jeong; Jaemin Shin 001; Junseok Kim 004 (Comput. Math. Appl., 2013)

A comparison study of ADI and operator splitting methods on option pricing models. - Darae Jeong; Junseok Kim 004 (J. Comput. Appl. Math., 2013)

A hybrid FEM for solving the Allen-Cahn equation. - Jaemin Shin 001; Seong-Kwan Park; Junseok Kim 004 (Appl. Math. Comput., 2014)

A new phase-field model for a water-oil-surfactant system. - Ana Yun; Yibao Li; Junseok Kim 004 (Appl. Math. Comput., 2014)

A regime-switching model with the volatility smile for two-asset European options. - Junseok Kim 004; Darae Jeong; Dong-Hoon Shin (Autom., 2014)

A simple and robust boundary treatment for the forced Korteweg-de Vries equation. - Hyun Geun Lee; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2014)

Surface embedding narrow volume reconstruction from unorganized points. - Yibao Li; Dongsun Lee; Chaeyoung Lee; Jihu Lee; Sanha Lee; Jisu Kim; Shinwoo Ahn; Junseok Kim 004 (Comput. Vis. Image Underst., 2014)

Three-dimensional volume reconstruction from slice data using phase-field models. - Yibao Li; Jaemin Shin 001; Yongho Choi; Junseok Kim 004 (Comput. Vis. Image Underst., 2015)

Fast local image inpainting based on the Allen-Cahn model. - Yibao Li; Darae Jeong; Jung-Il Choi; Seunggyu Lee; Junseok Kim 004 (Digit. Signal Process., 2015)

Numerical Study of Periodic Traveling Wave Solutions for the Predator-Prey Model with Landscape Features. - Ana Yun; Jaemin Shin 001; Yibao Li; Seunggyu Lee; Junseok Kim 004 (Int. J. Bifurc. Chaos, 2015)

Fast and efficient narrow volume reconstruction from scattered data. - Yibao Li; Junseok Kim 004 (Pattern Recognit., 2015)

A phase-field fluid modeling and computation with interfacial profile correction term. - Yibao Li; Jung-Il Choi; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2016)

A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation. - Yibao Li; Hyun Geun Lee; Binhu Xia; Junseok Kim 004 (Comput. Phys. Commun., 2016)

A practical finite difference method for the three-dimensional Black-Scholes equation. - Junseok Kim 004; Taekkeun Kim; Jae-Hyun Jo; Yongho Choi; Seunggyu Lee; Hyeongseok Hwang; Minhyun Yoo; Darae Jeong (Eur. J. Oper. Res., 2016)

Multi-component Cahn-Hilliard system with different boundary conditions in complex domains. - Yibao Li; Jung-Il Choi; Junseok Kim 004 (J. Comput. Phys., 2016)

An Immersed Boundary Method for a Contractile Elastic Ring in a Three-Dimensional Newtonian Fluid. - Seunggyu Lee; Darae Jeong; Wanho Lee; Junseok Kim 004 (J. Sci. Comput., 2016)

Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations. - Dongsun Lee; Junseok Kim 004 (Math. Comput. Simul., 2016)

A multigrid solution for the Cahn-Hilliard equation on nonuniform grids. - Yongho Choi; Darae Jeong; Junseok Kim 004 (Appl. Math. Comput., 2017)

Computationally efficient adaptive time step method for the Cahn-Hilliard equation. - Yibao Li; Yongho Choi; Junseok Kim 004 (Comput. Math. Appl., 2017)

An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces. - Yibao Li; Junseok Kim 004; Nan Wang (Commun. Nonlinear Sci. Numer. Simul., 2017)

A new conservative vector-valued Allen-Cahn equation and its fast numerical method. - Junseok Kim 004; Hyun Geun Lee (Comput. Phys. Commun., 2017)

Phase-field simulations of crystal growth in a two-dimensional cavity flow. - Seunggyu Lee; Yibao Li; Jaemin Shin 001; Junseok Kim 004 (Comput. Phys. Commun., 2017)

A finite difference method for a conservative Allen-Cahn equation on non-flat surfaces. - Junseok Kim 004; Darae Jeong; Seong-Deog Yang; Yongho Choi (J. Comput. Phys., 2017)

A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations. - Darae Jeong; Yongho Choi; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2018)

Modeling and simulation of the hexagonal pattern formation of honeycombs by the immersed boundary method. - Darae Jeong; Yongho Choi; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2018)

Surface reconstruction from unorganized points with l0 gradient minimization. - Huibin Li 001; Yibao Li; Ruixuan Yu; Jian Sun 009; Junseok Kim 004 (Comput. Vis. Image Underst., 2018)

An explicit hybrid finite difference scheme for the Allen-Cahn equation. - Darae Jeong; Junseok Kim 004 (J. Comput. Appl. Math., 2018)

A Projection Method for the Conservative Discretizations of Parabolic Partial Differential Equations. - Darae Jeong; Junseok Kim 004 (J. Sci. Comput., 2018)

Direct Discretization Method for the Cahn-Hilliard Equation on an Evolving Surface. - Yibao Li; Xuelin Qi; Junseok Kim 004 (J. Sci. Comput., 2018)

Comparison study on the different dynamics between the Allen-Cahn and the Cahn-Hilliard equations. - Yibao Li; Darae Jeong; Hyundong Kim; Chaeyoung Lee; Junseok Kim 004 (Comput. Math. Appl., 2019)

A practical and efficient numerical method for the Cahn-Hilliard equation in complex domains. - Darae Jeong; Junxiang Yang; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2019)

Fast and accurate adaptive finite difference method for dendritic growth. - Darae Jeong; Junseok Kim 004 (Comput. Phys. Commun., 2019)

Equity-linked security pricing and Greeks at arbitrary intermediate times using Brownian bridge. - Hanbyeol Jang; Jian Wang 052; Junseok Kim 004 (Monte Carlo Methods Appl., 2019)

Multicomponent volume reconstruction from slice data using a modified multicomponent Cahn-Hilliard system. - Yibao Li; Jing Wang; Bingheng Lu; Darae Jeong; Junseok Kim 004 (Pattern Recognit., 2019)

Shape transformation using the modified Allen-Cahn equation. - Hyundong Kim; Sungha Yoon; Jian Wang 052; Chaeyoung Lee; Sang-Kwon Kim; Jintae Park; Junseok Kim 004 (Appl. Math. Lett., 2020)

Combining MF-DFA and LSSVM for retina images classification. - Jian Wang 052; Wei Shao; Junseok Kim 004 (Biomed. Signal Process. Control., 2020)

Fast and Accurate Smoothing Method Using A Modified Allen-Cahn Equation. - Jian Wang 052; Yibao Li; Yongho Choi; Chaeyoung Lee; Junseok Kim 004 (Comput. Aided Des., 2020)

Pattern formation in reaction-diffusion systems on evolving surfaces. - Hyundong Kim; Ana Yun; Sungha Yoon; Chaeyoung Lee; Jintae Park; Junseok Kim 004 (Comput. Math. Appl., 2020)

A phase-field method for two-phase fluid flow in arbitrary domains. - Junxiang Yang; Junseok Kim 004 (Comput. Math. Appl., 2020)

Pinning boundary conditions for phase-field models. - Hyun Geun Lee; Junxiang Yang; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2020)

An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations. - Junxiang Yang; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2020)

Investigation of the Implications of "Haze Special Law" on Air Quality in South Korea. - Jian Wang 052; Junseok Kim 004; Wei Shao (Complex., 2020)

A practical finite difference scheme for the Navier-Stokes equation on curved surfaces in R3. - Junxiang Yang; Yibao Li; Junseok Kim 004 (J. Comput. Phys., 2020)

An Explicit Hybrid Method for the Nonlocal Allen-Cahn Equation. - Chaeyoung Lee; Sungha Yoon; Jintae Park; Junseok Kim 004 (Symmetry, 2020)

Numerical Simulation of Dendritic Pattern Formation in an Isotropic Crystal Growth Model on Curved Surfaces. - Sungha Yoon; Jintae Park; Jian Wang 052; Chaeyoung Lee; Junseok Kim 004 (Symmetry, 2020)

A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system. - Yibao Li; Qian Yu 004; Weiwei Fang; Binhu Xia; Junseok Kim 004 (Adv. Comput. Math., 2021)

Modeling and simulation of droplet evaporation using a modified Cahn-Hilliard equation. - Hyun Geun Lee; Junxiang Yang; Sang-Kwon Kim; Junseok Kim 004 (Appl. Math. Comput., 2021)

High-order time-accurate, efficient, and structure-preserving numerical methods for the conservative Swift-Hohenberg model. - Junxiang Yang; Zhijun Tan; Junseok Kim 004 (Comput. Math. Appl., 2021)

An unconditionally stable scheme for the Allen-Cahn equation with high-order polynomial free energy. - Chaeyoung Lee; Hyundong Kim; Sungha Yoon; Sangkwon Kim; Dongsun Lee; Jintae Park; Soobin Kwak; Junxiang Yang; Jian Wang 052; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2021)

Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach. - Junxiang Yang; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2021)

Simple and efficient volume merging method for triply periodic minimal structures. - Yibao Li; Qing Xia 009; Sungha Yoon; Chaeyoung Lee; Bingheng Lu; Junseok Kim 004 (Comput. Phys. Commun., 2021)

A variant of stabilized-scalar auxiliary variable (S-SAV) approach for a modified phase-field surfactant model. - Junxiang Yang; Junseok Kim 004 (Comput. Phys. Commun., 2021)

Automatic Binary Data Classification Using a Modified Allen-Cahn Equation. - Sangkwon Kim; Junseok Kim 004 (Int. J. Pattern Recognit. Artif. Intell., 2021)

Reconstruction of the local volatility function using the Black-Scholes model. - Sangkwon Kim; Hyunsoo Han; Hanbyeol Jang; Darae Jeong; Chaeyoung Lee; Wonjin Lee; Junseok Kim 004 (J. Comput. Sci., 2021)

A conservative and stable explicit finite difference scheme for the diffusion equation. - Junxiang Yang; Chaeyoung Lee; Soobin Kwak; Yongho Choi; Junseok Kim 004 (J. Comput. Sci., 2021)

Optimal non-uniform finite difference grids for the Black-Scholes equations. - Jisang Lyu; Eunchae Park; Sangkwon Kim; Wonjin Lee; Chaeyoung Lee; Sungha Yoon; Jintae Park; Junseok Kim 004 (Math. Comput. Simul., 2021)

A conservative Allen-Cahn equation with a curvature-dependent Lagrange multiplier. - Soobin Kwak; Junxiang Yang; Junseok Kim 004 (Appl. Math. Lett., 2022)

Numerical simulation and analysis of the Swift-Hohenberg equation by the stabilized Lagrange multiplier approach. - Junxiang Yang; Junseok Kim 004 (Comput. Appl. Math., 2022)

Three-dimensional volume reconstruction from multi-slice data using a shape transformation. - Hyundong Kim; Chaeyoung Lee; Soobin Kwak; Youngjin Hwang; Sangkwon Kim; Yongho Choi; Junseok Kim 004 (Comput. Math. Appl., 2022)

Phase-field computations of anisotropic ice crystal growth on a spherical surface. - Chaeyoung Lee; Sungha Yoon; Jintae Park; Hyundong Kim; Yibao Li; Darae Jeong; Sangkwon Kim; Soobin Kwak; Junseok Kim 004 (Comput. Math. Appl., 2022)

An unconditionally energy stable method for binary incompressible heat conductive fluids based on the phase-field model. - Qing Xia 009; Junseok Kim 004; Binhu Xia; Yibao Li (Comput. Math. Appl., 2022)

Unconditionally energy stable schemes for fluid-based topology optimization. - Yibao Li; Kunyang Wang; Qian Yu 004; Qing Xia 009; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2022)

Efficient and structure-preserving time-dependent auxiliary variable method for a conservative Allen-Cahn type surfactant system. - Junxiang Yang; Junseok Kim 004 (Eng. Comput., 2022)

Finite volume scheme for the lattice Boltzmann method on curved surfaces in 3D. - Junxiang Yang; Zhijun Tan; Sangkwon Kim; Chaeyoung Lee; Soobin Kwak; Junseok Kim 004 (Eng. Comput., 2022)

Calibration of the temporally varying volatility and interest rate functions. - Eunchae Park; Jisang Lyu; Sangkwon Kim; Chaeyoung Lee; Wonjin Lee; Yongho Choi; Soobin Kwak; Changwoo Yoo; Hyeongseok Hwang; Junseok Kim 004 (Int. J. Comput. Math., 2022)

Numerical approximation of the square phase-field crystal dynamics on the three-dimensional objects. - Junxiang Yang; Junseok Kim 004 (J. Comput. Phys., 2022)

Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach. - Junxiang Yang; Zhijun Tan; Junseok Kim 004 (J. Comput. Phys., 2022)

An Explicit Adaptive Finite Difference Method for the Cahn-Hilliard Equation. - Seokjun Ham; Yibao Li; Darae Jeong; Chaeyoung Lee; Soobin Kwak; Youngjin Hwang; Junseok Kim 004 (J. Nonlinear Sci., 2022)

Motion by Mean Curvature with Constraints Using a Modified Allen-Cahn Equation. - Soobin Kwak; Hyun Geun Lee; Yibao Li; Junxiang Yang; Chaeyoung Lee; Hyundong Kim; Seungyoon Kang; Junseok Kim 004 (J. Sci. Comput., 2022)

Energy dissipation-preserving time-dependent auxiliary variable method for the phase-field crystal and the Swift-Hohenberg models. - Junxiang Yang; Junseok Kim 004 (Numer. Algorithms, 2022)

Weighted 3D volume reconstruction from series of slice data using a modified Allen-Cahn equation. - Yibao Li; Xin Song; Soobin Kwak; Junseok Kim 004 (Pattern Recognit., 2022)

A robust and efficient fingerprint image restoration method based on a phase-field model. - Yibao Li; Qing Xia 009; Chaeyoung Lee; Sangkwon Kim; Junseok Kim 004 (Pattern Recognit., 2022)

An efficient time-dependent auxiliary variable approach for the three-phase conservative Allen-Cahn fluids. - Zhijun Tan; Junxiang Yang; Jianjun Chen; Junseok Kim 004 (Appl. Math. Comput., 2023)

Linear and conservative IMEX Runge-Kutta finite difference schemes with provable energy stability for the Cahn-Hilliard model in arbitrary domains. - Junseok Kim 004; Zhijun Tan; Junxiang Yang (Comput. Math. Appl., 2023)

Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model. - Qing Xia 009; Gangming Sun; Qian Yu 004; Junseok Kim 004; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2023)

Efficient IMEX and consistently energy-stable methods of diffuse-interface models for incompressible three-component flows. - Junxiang Yang; Jian Wang 052; Zhijun Tan; Junseok Kim 004 (Comput. Phys. Commun., 2023)

Effective time step analysis of convex splitting schemes for the Swift-Hohenberg equation. - Seunggyu Lee; Sungha Yoon; Junseok Kim 004 (J. Comput. Appl. Math., 2023)

A Second-order Time-Accurate Unconditionally Stable Method for a Gradient Flow for the Modica-Mortola Functional. - Seokjun Ham; Soobin Kwak; Chaeyoung Lee; Gyeonggyu Lee; Junseok Kim 004 (J. Sci. Comput., 2023)

Stability analysis for a maximum principle preserving explicit scheme of the Allen-Cahn equation. - Seokjun Ham; Junseok Kim 004 (Math. Comput. Simul., 2023)

3D object feature extraction and classification using 3D MF-DFA. - Jian Wang 052; Ziwei Han; Wenjing Jiang; Junseok Kim 004 (Comput. Vis. Image Underst., 2023)

Estimation and prediction of the multiply exponentially decaying daily case fatality rate of COVID-19. - Soobin Kwak; Seokjun Ham; Youngjin Hwang; Junseok Kim 004 (J. Supercomput., 2023)

A novel MF-DFA-Phase-Field hybrid MRIs classification system. - Jian Wang 052; Heming Xu; Wenjing Jiang; Ziwei Han; Junseok Kim 004 (Expert Syst. Appl., 2023)

Modified diffuse interface fluid model and its consistent energy-stable computation in arbitrary domains. - Junxiang Yang; Zhijun Tan; Jian Wang 052; Junseok Kim 004 (J. Comput. Phys., 2023)

Fractal feature analysis based on phase transitions of the Allen-Cahn and Cahn-Hilliard equations. - Jian Wang 052; Heming Xu; Junxiang Yang; Junseok Kim 004 (J. Comput. Sci., 2023)

Modified multi-phase diffuse-interface model for compound droplets in contact with solid. - Junxiang Yang; Yibao Li; Junseok Kim 004 (J. Comput. Phys., 2023)

A novel classification method combining phase-field and DNN. - Jian Wang 052; Ziwei Han; Wenjing Jiang; Junseok Kim 004 (Pattern Recognit., 2023)

A fast, efficient, and explicit phase-field model for 3D mesh denoising. - Jian Wang 052; Ziwei Han; Wenjing Jiang; Junseok Kim 004 (Appl. Math. Comput., 2023)

An efficient linear and unconditionally stable numerical scheme for the phase field sintering model. - Jingjie Cheng; Qing Xia 009; Junseok Kim 004; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2023)

Binary thermal fluids computation over arbitrary surfaces with second-order accuracy and unconditional energy stability based on phase-field model. - Qing Xia 009; Yuehan Liu; Junseok Kim 004; Yibao Li (J. Comput. Appl. Math., 2023)

A novel phase-field model for three-dimensional shape transformation. - Seokjun Ham; Hyundong Kim; Youngjin Hwang; Soobin Kwak; Jyoti; Jian Wang 052; Heming Xu; Wenjing Jiang; Junseok Kim 004 (Comput. Math. Appl., 2024)

Hybrid numerical method for the Allen-Cahn equation on nonuniform grids. - Hyundong Kim; Gyeonggyu Lee; Seungyoon Kang; Seokjun Ham; Youngjin Hwang; Junseok Kim 004 (Comput. Math. Appl., 2024)

An operator splitting method for the Cahn-Hilliard equation on nonuniform grids. - Gyeonggyu Lee; Soobin Kwak; Yongho Choi; Seunggyu Lee; Seungyoon Kang; Seokjun Ham; Junseok Kim 004 (Comput. Math. Appl., 2024)

An unconditional energy stable data assimilation scheme for Navier-Stokes-Cahn-Hilliard equations with local discretized observed data. - Xin Song; Qing Xia 009; Junseok Kim 004; Yibao Li (Comput. Math. Appl., 2024)

Efficient second-order accurate scheme for fluid-surfactant systems on curved surfaces with unconditional energy stability. - Bing Jiang; Qing Xia 009; Junseok Kim 004; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2024)

Shape transformation on curved surfaces using a phase-field model. - Hyundong Kim; Seungyoon Kang; Gyeonggyu Lee; Sungha Yoon; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2024)

Phase-field based modeling and simulation for selective laser melting techniques in additive manufacturing. - Sijing Lai; Qing Xia 009; Junseok Kim 004; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2024)

Unconditionally maximum principle-preserving linear method for a mass-conserved Allen-Cahn model with local Lagrange multiplier. - Junxiang Yang; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2024)

A structure-preserving projection method with formal second-order accuracy for the incompressible Navier-Stokes equations. - Junxiang Yang; Yibao Li; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2024)

A modified Allen-Cahn equation with a mesh size-dependent interfacial parameter on a triangular mesh. - Junxiang Yang; Jian Wang 052; Soobin Kwak; Seokjun Ham; Junseok Kim 004 (Comput. Phys. Commun., 2024)

On the phase field based model for the crystalline transition and nucleation within the Lagrange multiplier framework. - Qing Xia 009; Junxiang Yang; Junseok Kim 004; Yibao Li (J. Comput. Phys., 2024)

The Allen-Cahn equation with a space-dependent mobility and a source term for general motion by mean curvature. - Junxiang Yang; Seungyoon Kang; Soobin Kwak; Junseok Kim 004 (J. Comput. Sci., 2024)

In silico investigation of the formation of multiple intense zebra stripes using extending domain. - Hyundong Kim; Jyoti; Soobin Kwak; Seokjun Ham; Junseok Kim 004 (Math. Comput. Simul., 2024)

A practical algorithm for the design of multiple-sized porous scaffolds with triply periodic structures. - Yibao Li; Qing Xia 009; Seungyoon Kang; Soobin Kwak; Junseok Kim 004 (Math. Comput. Simul., 2024)

Fast and efficient numerical method for solving the Allen-Cahn equation on the cubic surface. - Youngjin Hwang; Junxiang Yang; Gyeongyu Lee; Seokjun Ham; Seungyoon Kang; Soobin Kwak; Junseok Kim 004 (Math. Comput. Simul., 2024)

An efficient image inpainting algorithm based on a modified Gray-Scott model. - Jian Wang 052; Xinpei Wu; Heming Xu; Junseok Kim 004 (Signal Process., 2024)

An adapted energy dissipation law-preserving numerical algorithm for a phase-field surfactant model. - Junxiang Yang; Junseok Kim 004 (Comput. Appl. Math., 2024)

An efficient and fast adaptive numerical method for a novel phase-field model of crystal growth. - Seokjun Ham; Yibao Li; Soobin Kwak; Darae Jeong; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2024)

Triply periodic minimal surfaces based topology optimization for the hydrodynamic and convective heat transfer. - Qing Xia 009; Junxia Zhu; Qian Yu 004; Junseok Kim 004; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2024)

Phase-field modeling and linearly energy-stable Runge-Kutta algorithm of colloidal crystals on curved surfaces. - Junxiang Yang; Yibao Li; Junseok Kim 004 (J. Comput. Appl. Math., 2024)

Robust and accurate reconstruction of the time-dependent continuous volatility from option prices. - Youngjin Hwang; Taehee Lee; Soobin Kwak; Seungyoon Kang; Seokjun Ham; Junseok Kim 004 (Comput. Appl. Math., 2024)

Consistently and unconditionally energy-stable linear method for the diffuse-interface model of narrow volume reconstruction. - Junxiang Yang; Junseok Kim 004 (Eng. Comput., 2024)

An Efficient and Accurate Adaptive Time-Stepping Method for the Landau-Lifshitz Equation. - Hyundong Kim; Soobin Kwak; Moumni Mohammed; Seungyoon Kang; Seokjun Ham; Junseok Kim 004 (Algorithms, 2025)

An Efficient Computational Algorithm for the Nonlocal Cahn-Hilliard Equation with a Space-Dependent Parameter. - Zhengang Li; Xinpei Wu; Junseok Kim 004 (Algorithms, 2025)

Two-Level method for blind image deblurring problems. - Azhar Iqbal; Shahbaz Ahmad; Junseok Kim 004 (Appl. Math. Comput., 2025)

Computational analysis of a normalized time-fractional Fisher equation. - Soobin Kwak; Yunjae Nam; Seungyoon Kang; Junseok Kim 004 (Appl. Math. Lett., 2025)

Decoupled, efficient and structure-preserving numerical scheme for a non-isothermal phase field sintering model. - Jingjie Cheng; Qing Xia 009; Binhu Xia; Junseok Kim 004; Yibao Li (Comput. Math. Appl., 2025)

Phase field modeling of melting and solidification dynamics in metallic powders during the bed fusion process. - Qing Xia 009; Sijing Lai; Junseok Kim 004; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2025)

Phase-field modeling of fiber-based thermal diffusion and phase transitions in the fused deposition modeling process. - Binhu Xia; Sijing Lai; Qing Xia 009; Xiang Liu; Yibao Li; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2025)

An efficient computational method for simulating incompressible fluid flows on a virtual cubic surface. - Junxiang Yang; Seungyoon Kang; Sangkwon Kim; Youngjin Hwang; Soobin Kwak; Seokjun Ham; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2025)

An unconditionally stable adaptive finite difference scheme for the Allen-Cahn equation. - Hyundong Kim; Seokjun Ham; Soobin Kwak; Junseok Kim 004 (Comput. Phys. Commun., 2025)

A fourth-order finite difference method for the Allen-Cahn equation. - Seokjun Ham; Seungyoon Kang; Youngjin Hwang; Gyeonggyu Lee; Soobin Kwak; Jyoti; Junseok Kim 004 (J. Comput. Appl. Math., 2025)

Positivity preserving and unconditionally stable numerical scheme for the three-dimensional modified Fisher-Kolmogorov-Petrovsky-Piskunov equation. - Seungyoon Kang; Soobin Kwak; Youngjin Hwang; Junseok Kim 004 (J. Comput. Appl. Math., 2025)

A novel ensemble Kalman filter based data assimilation method with an adaptive strategy for dendritic crystal growth. - Wenxuan Xie; Zihan Wang; Junseok Kim 004; Xing Sun; Yibao Li (J. Comput. Phys., 2025)

On a two-phase incompressible diffuse interface fluid model with curvature-dependent mobility. - Junxiang Yang; Junseok Kim 004 (J. Comput. Phys., 2025)

Unconditionally stable method for the high-order Allen-Cahn equation. - Seungyoon Kang; Youngjin Hwang; Junseok Kim 004 (J. Comput. Sci., 2025)

Fast numerical algorithm for the reaction-diffusion equations using an interpolating method. - Sungha Yoon; Chaeyoung Lee; Soobin Kwak; Seungyoon Kang; Junseok Kim 004 (Comput. Appl. Math., 2025)

Effective perpendicular boundary conditions in phase-field models using Dirichlet boundary conditions. - Soobin Kwak; Seokjun Ham; Jian Wang 052; Hyundong Kim; Junseok Kim 004 (Eng. Comput., 2025)

A second-order unconditionally energy stable scheme for the Lifshitz-Petrich model integrated with observational data. - Xiaochuan Hu; Junseok Kim 004; Yibao Li (Appl. Math. Comput., 2026)

Pinning phenomena in numerical schemes of the Allen-Cahn equation. - Junseok Kim 004; Zhengang Li; Xinpei Wu; Soobin Kwak (Comput. Math. Appl., 2026)

An efficient and accurate adaptive time-stepping method for the Allen-Cahn equation. - Hyundong Kim; Juho Ma; Hyunho Shin; Junseok Kim 004 (Comput. Math. Appl., 2026)

Efficient prediction of phase-field crystal dynamics via β-variational autoencoders and time-series transformers on coupled physical fields. - Zhixian Lv; Jiahao Huang; Chengyang Yue; Junseok Kim 004; Yibao Li (Comput. Math. Appl., 2026)

Non-isothermal hydrodynamic modeling and analysis for the flow boiling in microchannels based heat exchanger. - Jingjie Cheng; Qing Xia 009; Junseok Kim 004; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2026)

Simulation of the coupled navier-stokes-cahn-hilliard-heat transfer system via a U-shaped spatial-channel attention neural operator. - Zhixian Lv; Yuhong Li; Qing Xia 009; Junseok Kim 004; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2026)

A practical image inpainting algorithm based on a predator-prey model. - Jian Wang 052; Mengyu Luo; Junseok Kim 004 (Commun. Nonlinear Sci. Numer. Simul., 2026)

Reconstruction of diblock copolymer melts with an EnKF-based restoration framework. - Wenxuan Xie; Jiachen Feng; Junseok Kim 004; Yibao Li (Commun. Nonlinear Sci. Numer. Simul., 2026)

An adaptive numerical method for solving the Allen-Cahn equation on curved surfaces. - Hyundong Kim; Qunzhi Jin; Xinpei Wu; Soobin Kwak; Zhengang Li; Junseok Kim 004 (J. Comput. Appl. Math., 2026)

A modified ensemble Kalman filter method with an adaptive ensemble strategy for multiphase flow systems. - Zihan Wang; Wenxuan Xie; Junseok Kim 004; Yibao Li (J. Comput. Phys., 2026)

Energy-Stable, L2-Stable, and weakly H1-Stable BDF2 viscosity splitting method for the penalized incompressible navier-Stokes equations. - Junxiang Yang; Yibao Li; Junseok Kim 004 (J. Comput. Phys., 2026)

Computational modeling of incompressible two-phase fluid dynamics via the conservative Allen-Cahn framework on a virtual cube. - Ahmed Zeeshan; Juho Ma; Zhengang Li; Xinpei Wu; Junseok Kim 004 (J. Comput. Sci., 2026)

Restoration of partially damaged fingerprints using a partial differential equation. - Sangkwon Kim; Yibao Li; Soobin Kwak; Junseok Kim 004 (Pattern Recognit., 2026)

A simple numerical algorithm for generating circular porous pattern formation on curved surfaces. - Youngjin Hwang; Seungyoon Kang; Jyoti; Junseok Kim 004 (Comput. Appl. Math., 2026)

Numerical analysis of the Allen-Cahn equation on non-uniform cell sizes. - Binhu Xia; Kun Wang; Yunjae Nam; Zhengang Li; Xinpei Wu; Soobin Kwak; Juho Ma; Junseok Kim 004 (Comput. Appl. Math., 2026)

An unconditional energy stable numerical scheme for fluid-surfactant system with data assimilation method. - Xiaochuan Hu; Xin Song; Qing Xia 009; Junseok Kim 004; Yibao Li (Comput. Appl. Math., 2026)

An efficient numerical scheme on nonuniform grids for a normalized time-fractional Black-Scholes equation. - Zhengang Li; Yunjae Nam; Juho Ma; Youngjin Hwang; Junseok Kim 004 (Comput. Appl. Math., 2026)