Department of Mathematics

Research output

Research output per year 1987 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2024

• 9803 Citations
• 42 h-index
• 846 Article
• 11 Conference contribution
• 10 Chapter
• 6 Review article
• 9 More
  • 4 Conference article
  • 3 Comment/debate
  • 1 Editorial
  • 1 Letter

Research output per year

Research output per year

Search results

• 2012

  An ^Lp-theory of a class of stochastic equations with the random fractional Laplacian driven by Lévy processes

  Kim, K. H. & Kim, P., 2012 Dec, In: Stochastic Processes and their Applications. 122, 12, p. 3921-3952 32 p.

  Research output: Contribution to journal › Article › peer-review

  • Stochastic Equations 100%
  • Lvy Processes 100%
  • Driving Noise 100%
  • Fractional Laplacian 100%
  • Lvy Process 100%
  19 Citations (Scopus)

• A note on the subexponential asymptotics of the stationary distribution of M/G/1 type Markov chains

  Kim, B. & Kim, J., 2012 Jul 1, In: European Journal of Operational Research. 220, 1, p. 132-134 3 p.

  Research output: Contribution to journal › Article › peer-review

  • Subexponential 100%
  • Markov Chain 100%
  4 Citations (Scopus)

• An unconditionally stable numerical method for bimodal image segmentation

  Li, Y. & Kim, J., 2012 Nov 25, In: Applied Mathematics and Computation. 219, 6, p. 3083-3090 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Numerical Methods 100%
  • Unconditionally Stable numerical Methods 100%
  • Unconditional Stability 50%
  • Set-based Model 50%
  • Real Image 33%
  28 Citations (Scopus)

• A practically unconditionally gradient stable scheme for the N-component CahnHilliard system

  Lee, H. G., Choi, J. W. & Kim, J., 2012 Feb 15, In: Physica A: Statistical Mechanics and its Applications. 391, 4, p. 1009-1019 11 p.

  Research output: Contribution to journal › Article › peer-review

  • Numerical Experiment 100%
  • Stability Analysis 100%
  • Numerical Scheme 100%
  • Numerical Solution 100%
  • Multigrid Method 100%
  50 Citations (Scopus)

• A W2n-theory of elliptic and parabolic partial differential systems in C ¹ domains

  Kim, K. H. & Lee, K., 2012 Jul 15, In: Journal of Mathematical Analysis and Applications. 391, 2, p. 397-414 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Parabolic 100%
  • Differential System 100%
  • Existence Result 50%
  • Uniqueness Result 50%
  • Sobolev Space 50%

• Compact Differences of Composition Operators over Polydisks

  Choe, B. R., Koo, H. & Park, I., 2012 May, In: Integral Equations and Operator Theory. 73, 1, p. 57-91 35 p.

  Research output: Contribution to journal › Article › peer-review

  • Compact Perturbation 100%
  • Second-order Data 100%
  31 Citations (Scopus)

• Dependence of polynomial chaos on random types of forces of KdV equations

  Kim, H., Kim, Y. & Yoon, D., 2012 Jul, In: Applied Mathematical Modelling. 36, 7, p. 3080-3093 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Random Forcing 100%
  • Jacobi Polynomials 100%
  • Proper Polynomial 100%
  • Hermite-Laguerre Polynomials 100%
  • Laguerre Polynomial 100%
  8 Citations (Scopus)

• Exact tail asymptotics for the M/M/m retrial queue with nonpersistent customers

  Kim, B. & Kim, J., 2012 Nov, In: Operations Research Letters. 40, 6, p. 537-540 4 p.

  Research output: Contribution to journal › Article › peer-review

  • Non-persistent Customers 100%
  • Exact Tail Asymptotics 100%
  • Asymptotic Upper Bound 50%
  • Asymptotic Lower Bound 50%
  • Asymptotic Formula 50%
  12 Citations (Scopus)

• Finite element analysis of Schwarz P surface pore geometries for tissue-engineered scaffolds

  Shin, J., Kim, S., Jeong, D., Lee, H. G., Lee, D., Lim, J. Y. & Kim, J., 2012, In: Mathematical Problems in Engineering. 2012, 694194.

  Research output: Contribution to journal › Article › peer-review

  • Finite Element Method 100%
  • Phase Field Model 100%
  • Pore Geometry 100%
  • Volume Fraction 50%
  • Pore Structure 50%
  47 Citations (Scopus)

• G/M/1 type structure of a risk model with general claim sizes in a Markovian environment

  Kim, J., Kim, B. & Kim, H. S., 2012 Nov, In: Journal of Industrial and Management Optimization. 8, 4, p. 909-924 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Ruin Time 100%
  • Claim Size 100%
  • Markovian Environment 100%
  • Risk Model 100%
  • Surplus Process 66%
  1 Citation (Scopus)

• HELICOIDAL MINIMAL SURFACES in ℍ ²×ℝ

  Kim, Y. W., Koh, S. E., Shin, H. & Yang, S. D., 2012 Aug, In: Bulletin of the Australian Mathematical Society. 86, 1, p. 135-149 15 p.

  Research output: Contribution to journal › Article › peer-review

  • One-parameter Subgroup 100%
  • Screw Motion 100%
  • Conjugate Surface 100%
  • Associate Family 100%
  • Parameter Group 100%
  4 Citations (Scopus)

• Mathematical model and numerical simulation of the cell growth in scaffolds

  Jeong, D., Yun, A. & Kim, J., 2012 May, In: Biomechanics and Modeling in Mechanobiology. 11, 5, p. 677-688 12 p.

  Research output: Contribution to journal › Article › peer-review

  • Mathematical Model Simulation 100%
  • Cell Growth 100%
  • Finite Difference 50%
  • L2 Error 33%
  • Tissue Lesion 33%
  10 Citations (Scopus)

• Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid - Forced modified KdV equation

  Kim, H., Bae, W. S. & Choi, J., 2012 Mar, In: Mathematics and Computers in Simulation. 82, 7, p. 1219-1227 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Two-layer Fluid 100%
  • Wave-like 100%
  • Modified KdV Equation 100%
  • Solitary Wave 100%
  • Fluid Layer 100%
  5 Citations (Scopus)

• On the classification of non-normal complete intersections of two quadrics

  Lee, W., Park, E. & Schenzel, P., 2012 May, In: Journal of Pure and Applied Algebra. 216, 5, p. 1222-1234 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Quadrics 100%
  • Complete Intersection 100%
  • Irreducible 50%
  • Projective Equivalence 50%
  • Irreducibles 50%
  4 Citations (Scopus)

• On the stability of a polling system with an adaptive service mechanism

  Chernova, N., Foss, S. & Kim, B., 2012 Sept, In: Annals of Operations Research. 198, 1, p. 125-144 20 p.

  Research output: Contribution to journal › Article › peer-review

  • Service Discipline 100%
  • Open Problem 50%
  • Stability Analysis 50%
  • Concludes 50%
  • Single Server 50%
  7 Citations (Scopus)

• Phase-field simulations of crystal growth with adaptive mesh refinement

  Li, Y. & Kim, J., 2012 Dec, In: International Journal of Heat and Mass Transfer. 55, 25-26, p. 7926-7932 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Adaptive Mesh Refinement 100%
  • Phase Field 100%
  • Crystal Growth 100%
  • Uniform Mesh 50%
  • Nonlinear Parabolic Partial Differential Equation 50%
  41 Citations (Scopus)

• Polynomial chaos solution to the Black Scholes equation with a random volatility

  Moon, K. S. & Kim, H., 2012, In: Economic Computation and Economic Cybernetics Studies and Research. 6

  Research output: Contribution to journal › Article › peer-review

  • Polynomial Chaos 100%
  • Black-Scholes Equation 100%
  • Volatility 100%
  • Option Pricing 25%
  • Distribution Type 25%

• Projective subvarieties having large Green-Lazarsfeld index

  Park, E., 2012 Feb 1, In: Journal of Algebra. 351, 1, p. 175-184 10 p.

  Research output: Contribution to journal › Article › peer-review

  • Subvarieties 100%
  • Green-Lazarsfeld Index 100%
  • Del Pezzo Variety 50%
  • Arithmetically Cohen-Macaulay Sheaf 50%
  • Minimal Free Resolution 50%
  2 Citations (Scopus)

• Regularized Dirac delta functions for phase field models

  Lee, H. G. & Kim, J., 2012 Jul 20, In: International Journal for Numerical Methods in Engineering. 91, 3, p. 269-288 20 p.

  Research output: Contribution to journal › Article › peer-review

  • Delta Function 100%
  • Complex Interface 16%
  • Interfacial Issues 16%
  • Computational Technique 12%
  44 Citations (Scopus)

• Stability of symmetric solitarywave solutions of a forced korteweg-de vries equation and the polynomial Chaos

  Kim, H. & Moon, K. S., 2012, In: Advances in Applied Mathematics and Mechanics. 4, 6, p. 833-847 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Gravity-capillary Waves 100%
  • Stability Study 100%
  • Solitary Waves 100%
  • Depth Based 100%
  • Upper Bounding 100%
  1 Citation (Scopus)

• Tail asymptotics of the queue size distribution in the MMm retrial queue

  Kim, J., Kim, J. & Kim, B., 2012 Aug, In: Journal of Computational and Applied Mathematics. 236, 14, p. 3445-3460 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Power Function 100%
  • Stationary Queue Size Distribution 50%
  • Offered Load 25%
  17 Citations (Scopus)

• Valuation of power options under Heston's stochastic volatility model

  Kim, J., Kim, B., Moon, K. S. & Wee, I. S., 2012 Nov, In: Journal of Economic Dynamics and Control. 36, 11, p. 1796-1813 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Power Option 100%
  • Heston Stochastic Volatility Model 100%
  • Option Price 100%
  • Stochastic Volatility Model 100%
  • Asset Price 100%
  16 Citations (Scopus)

• Zero mean curvature surfaces in L ³ containing a light-like line

  Fujimori, S., Kim, Y. W., Koh, S. E., Rossman, W., Shin, H., Takahashi, H., Umehara, M., Yamada, K. & Yang, S. D., 2012 Nov, In: Comptes Rendus Mathematique. 350, 21-22, p. 975-978 4 p.

  Research output: Contribution to journal › Article › peer-review

  • Minkowski 100%
  • Singular Set 100%
  • Mean Curvature 100%
  • Minimal Surface 100%
  • Lorentz-Minkowski 3-space 100%
  20 Citations (Scopus)
• 2011

  Accurate contact angle boundary conditions for the Cahn-Hilliard equations

  Lee, H. G. & Kim, J., 2011 May, In: Computers and Fluids. 44, 1, p. 178-186 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Angle Boundary 100%
  • Contact Angle 100%
  • Boundary Formulation 33%
  • Two-phase Interface 33%
  • Numerical Treatment 33%
  60 Citations (Scopus)

• A conservative numerical method for the Cahn-Hilliard equation in complex domains

  Shin, J., Jeong, D. & Kim, J., 2011 Aug 10, In: Journal of Computational Physics. 230, 19, p. 7441-7455 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Complex Geometry 100%
  • Discrete Scheme 100%
  • Multigrid Method 100%
  • Numerical Simulation 100%
  • Numerical Methods 100%
  32 Citations (Scopus)

• A fast, robust, and accurate operator splitting method for phase-field simulations of crystal growth

  Li, Y., Geun Lee, H. & Kim, J., 2011 Apr 15, In: Journal of Crystal Growth. 321, 1, p. 176-182 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Crystal Growth 100%
  • Euler Method 33%
  • Heat Equation 33%
  • Field Equation 33%
  • Nonlinear Equation 33%
  54 Citations (Scopus)

• Analysis of the M/G/1 queue with discriminatory random order service policy

  Kim, J., Kim, J. & Kim, B., 2011 Mar, In: Performance Evaluation. 68, 3, p. 256-270 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Random Order Service 100%
  • Service Policy 100%
  • Random Order 100%
  • Service Discipline 85%
  • Selection Probability 28%
  13 Citations (Scopus)

• A note on composition operators acting on holomorphic sobolev spaces

  Choe, B. R., Koo, H. & Smith, W., 2011 Dec, In: Proceedings of the American Mathematical Society. 139, 12, p. 4369-4375 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Function Space 100%
  • Holomorphic Self-map 49%
  • Embedding Relations 49%
  • Hardy-Sobolev Space 49%
  • Hardy Sobolev Space 49%

• An upper bound on stick number of knots

  Huh, Y. & Oh, S., 2011 May, In: Journal of Knot Theory and its Ramifications. 20, 5, p. 741-747 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Stick number 100%
  • Crossing number 50%
  • New Upper Bound 50%
  • Arc Index 50%
  • Crossing Number 25%
  16 Citations (Scopus)

• A W¹₂ -theory of Stochastic Partial Differential Systems of Divergence type on C¹ domains

  Kim, K. H. & Lee, K., 2011 Jan 1, In: Electronic Journal of Probability. 16, p. 1296-1317 22 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Divergence Type 100%
  • Stochastics 100%
  • Differential System 100%
  • Stochastic Partial Differential System 100%
  • Existence Result 50%
  4 Citations (Scopus)

• Classification of betti diagrams of varieties of almost minimal degree

  Lee, W. & Park, E., 2011 Sept, In: Journal of the Korean Mathematical Society. 48, 5, p. 1001-1015 15 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Betti Table 100%
  • Minimal Degree 100%
  • Computer Algebra 100%
  • Complete List 100%
  • Complete Lists 25%
  4 Citations (Scopus)

• Double integral characterizations of harmonic Bergman spaces

  Choe, B. R. & Nam, K., 2011 Jul 15, In: Journal of Mathematical Analysis and Applications. 379, 2, p. 889-909 21 p.

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Bergman Space 100%
  • Half Space 100%
  • Integrated Characterization 100%
  • Integrability Condition 33%
  • Holomorphic Function 33%
  10 Citations (Scopus)

• Finite rank products of toeplitz operators on the harmonic bergman space

  Choe, B. R., Koo, H. & Na, K., 2011, In: Rocky Mountain Journal of Mathematics. 41, 1, p. 45-78 34 p.

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Bergman Space 100%
  • Toeplitz Operator 100%
  • Rank Product 100%
  • Unit Ball 50%
  • Boundary Smoothness 50%
  2 Citations (Scopus)

• Higher moments of the waiting time distribution in M/G/1 retrial queues

  Kim, B. & Kim, J., 2011 May, In: Operations Research Letters. 39, 3, p. 224-228 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Retrial Queue 100%
  • Waiting Time Distribution 100%
  • Higher Moments 100%
  • Time Distribution 100%
  • Work Analysis 25%
  8 Citations (Scopus)

• Hilbert-Schmidt differences of composition operators on the Bergman space

  Choe, B. R., Hosokawa, T. & Koo, H., 2011 Dec, In: Mathematische Zeitschrift. 269, 3-4, p. 751-775 25 p.

  Research output: Contribution to journal › Article › peer-review

  • Hilbert-Schmidt 100%
  • Composition Operator 100%
  • Difference of Composition Operators 100%
  • Unit Disk 33%
  • Integrability Conditions 33%
  16 Citations (Scopus)

• Local smoothing estimates for some half-wave operators

  Heo, Y. & Yang, C. W., 2011 Sept 15, In: Journal of Mathematical Analysis and Applications. 381, 2, p. 573-581 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Local Smoothing Estimate 100%
  • Wave Operator 100%
  2 Citations (Scopus)

• Mean lipschitz spaces characterization via mean oscillation

  Cho, H. R., Koo, H. & Kwon, E. G., 2011 Aug, In: Taiwanese Journal of Mathematics. 15, 4, p. 1749-1757 9 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Mean Lipschitz Spaces 100%
  • Mean Oscillation 100%
  • Unit Disk 100%

• Multiphase image segmentation using a phase-field model

  Li, Y. & Kim, J., 2011 Jul, In: Computers and Mathematics with Applications. 62, 2, p. 737-745 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Numerical Methods 100%
  • Phase Field 100%
  • Multi-phase Image Segmentation 100%
  • Nonlinear Equation 66%
  • Numerical Experiment 33%
  78 Citations (Scopus)

• Numerical studies of the fingering phenomena for the thin film equation

  Li, Y., Lee, H. G., Yoon, D., Hwang, W., Shin, S., Ha, Y. & Kim, J., 2011 Dec 20, In: International Journal for Numerical Methods in Fluids. 67, 11, p. 1358-1372 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Fingering Phenomenon 100%
  • Thin Liquid Film 100%
  • Thin-film Equation 100%
  • Convex Front 66%
  • Nonlinear Discrete-time Systems 33%
  7 Citations (Scopus)

• On multisecants and the Green-Lazarsfeld index of projective varieties

  Lee, W., Park, E. & Woo, Y., 2011 Jun, In: Archiv der Mathematik. 96, 6, p. 525-530 6 p.

  Research output: Contribution to journal › Article › peer-review

  • Non-degenerate 100%
  • Configuration Space 100%
  • Projective Variety 100%
  • Codimension 100%
  • Subvarieties 100%

• On the classification of non-normal cubic hypersurfaces

  Lee, W., Park, E. & Schenzel, P., 2011 Aug, In: Journal of Pure and Applied Algebra. 215, 8, p. 2034-2042 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Cubic Hypersurfaces 100%
  • Algebraically Closed Field 25%
  9 Citations (Scopus)

• On the long time simulation of the Rayleigh-Taylor instability

  Lee, H. G., Kim, K. & Kim, J., 2011 Apr 1, In: International Journal for Numerical Methods in Engineering. 85, 13, p. 1633-1647 15 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Boundary Condition 100%
  • Long-term Simulation 100%
  • Rayleigh 100%
  • Taylor Instability 100%
  • Density 100%
  50 Citations (Scopus)

• On varieties of almost minimal degree II: A rank-depth formula

  Brodmann, M., Park, E. & Schenzel, P., 2011 Jun, In: Proceedings of the American Mathematical Society. 139, 6, p. 2025-2032 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Depth Formula 100%
  • Secant Variety 50%
  • Matrices of Linear Forms 50%
  • Linear Form 50%
  2 Citations (Scopus)

• On varieties of almost minimal degree III: Tangent spaces and embedding scrolls

  Brodmann, M. & Park, E., 2011 Dec, In: Journal of Pure and Applied Algebra. 215, 12, p. 2859-2872 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Tangent Space 100%
  • Singular Point 50%
  • Codimension 50%
  • Codimension-one 50%
  5 Citations (Scopus)

• Positive Schatten-Herz class Toeplitz operators on the ball

  Choe, B. R., Koo, H. & Lee, Y. J., 2011, In: New York Journal of Mathematics. 17 A, p. 113-125 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Toeplitz Operator 100%
  • Schatten-Herz Class 100%
  • Harmonic Bergman Space 50%

• Radial Fourier multipliers in high dimensions

  Heo, Y., Nazarov, F. & Seeger, A., 2011 Mar, In: Acta Mathematica. 206, 1, p. 55-92 38 p.

  Research output: Contribution to journal › Article › peer-review

  • Higher Dimensions 100%
  • Fourier Multipliers 100%
  • Wave Equation 50%
  • Space-time Regularity 50%
  • Lq Spaces 50%
  33 Citations (Scopus)

• Representation of Downton's bivariate exponential random vector and its applications

  Kim, B. & Kim, J., 2011 Dec, In: Statistics and Probability Letters. 81, 12, p. 1743-1750 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Bivariate Exponential Distribution 100%
  • Random Vector 100%
  • Bivariate 100%
  • Downton's Bivariate Exponential Distribution 50%
  • Bivariate Distribution 50%
  3 Citations (Scopus)

• Riesz means associated with certain product type convex domain

  Hong, S., Kim, J. & Yang, C. W., 2011 Aug 15, In: Journal of Mathematical Analysis and Applications. 380, 2, p. 585-606 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Convex Domain 100%
  • Product Type 100%
  5 Citations (Scopus)

• Spacelike maximal surfaces, timelike minimal surfaces, and björling representation formulae

  Kim, Y. W., Koh, S. E., Shin, H. & Yang, S. D., 2011 Sept, In: Journal of the Korean Mathematical Society. 48, 5, p. 1083-1100 18 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Timelike Minimal Surface 100%
  • Timelike 100%
  • Singular Curves 33%
  28 Citations (Scopus)

• Stability of a retrial queueing network with different classes of customers and restricted resource pooling

  Kim, B., 2011 Aug, In: Journal of Industrial and Management Optimization. 7, 3, p. 753-765 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Customer Resources 100%
  • Resource Pooling 100%
  • Retrial Queueing 100%
  • Queueing Networks 100%
  • Queueing Network 100%
  9 Citations (Scopus)