Publications.

@article{deepmathlab-10-1108-HFF-04-2026-0484,
  title = {Numerical analysis of magnetohydrodynamic free convection hybrid nanofluid flow within a porous cavity containing multiple-heated fins using finite difference scheme},
  author = {Thirumalaisamy K. and Yunchang Seol and Hyunju Kim},
  journal = {International Journal of Numerical Methods for Heat & Fluid Flow},
  year = {2026},
  doi = {10.1108/HFF-04-2026-0484}
}

@article{deepmathlab-10-48550-arXiv-2609-18403,
  title = {Constrained weak identification of Allen–Cahn free energies with surface-tension calibration},
  author = {S. Jung and Hyunju Kim},
  journal = {arXiv preprint},
  year = {2026},
  doi = {10.48550/arXiv.2609.18403}
}

@article{deepmathlab-10-48550-arXiv-2607-23229,
  title = {Mechanics-trained neural coordinate mapping for B-spline analysis of crack-tip and corner singularities},
  author = {Hyunju Kim},
  journal = {arXiv preprint},
  year = {2026},
  doi = {10.48550/arXiv.2607.23229}
}

@article{deepmathlab-10-48550-arXiv-2607-15505,
  title = {Fast and Scalable Caputo Fractional Gradient Descent via Perturbation-Preserving Memory Compression},
  author = {Hwanseo Lee and Junseo Lee and Hyunju Kim},
  journal = {arXiv preprint},
  year = {2026},
  doi = {10.48550/arXiv.2607.15505}
}

@article{deepmathlab-A-nonstandard-fractional-Jacobi-pseudospectral-method-2026,
  title = {A nonstandard fractional Jacobi pseudospectral method for weakly regular right-sided Caputo terminal problems},
  author = {I. G. Ameen and M. Hammad and M. Razzaghi and M. A. Zaky},
  journal = {arXiv preprint},
  year = {2026}
}

@article{deepmathlab-Numerical-Investigation-of-MHD-Driven-Heat-2026,
  title = {Numerical Investigation of MHD-Driven Heat and Mass Transfer in a Porous Enclosure Filled With Cu–Water Nanofluid},
  author = {S. I. Tanni and M. S. Ahmed and R. U. S. Zaman and F. K. Ava and I. S. Chuhan},
  journal = {Engineering Reports},
  year = {2026}
}

@article{deepmathlab-Normalized-Nabla-Fractional-Difference-Operators-with-2026,
  title = {Normalized Nabla Fractional Difference Operators with Discrete Exponential and Mittag-Leffler Kernels},
  author = {C. Laouar and T. Abdeljawad and M. A. Alqudah},
  journal = {Fractals},
  year = {2026}
}

@article{deepmathlab-Computational-analysis-of-shear-dependent-heat-2026,
  title = {Computational analysis of shear dependent heat and mass transfer in MHD hybrid nanofluid within a porous medium},
  author = {M. F. Endalew and X. J. Zhang},
  journal = {Discover Nano},
  year = {2026}
}

@article{deepmathlab-Thermogravitational-convection-in-hybrid-ferrofluids-under-2026,
  title = {Thermogravitational convection in hybrid ferrofluids under magnetic field-dependent viscosity in a split-baffle enclosure},
  author = {A. Chattopadhyay and S. Soren and S. Hansda and S. Roy},
  journal = {… Journal of Numerical Methods for Heat …},
  year = {2026}
}

@article{deepmathlab-MHD-Carreau-nanofluid-flow-with-gyrotactic-2026,
  title = {MHD Carreau nanofluid flow with gyrotactic microorganisms, incorporating first- and second-order velocity slip},
  author = {A. Dabas and A. Parmar and A. J. Chamkha and Q. Al-Mdallal},
  journal = {International Journal of …},
  year = {2026}
}

@article{deepmathlab-Stability-and-Error-Estimates-with-Optimal-2026,
  title = {Stability and Error Estimates with Optimal ε-Dependence for Strang Splitting of the Allen–Cahn Equation},
  author = {R. Luo and C. Quan and Z. Tan and Y. Wu},
  journal = {arXiv preprint},
  year = {2026}
}

@article{deepmathlab-10-1108-HFF-03-2024-0193,
  title = {Buoyancy-driven heat transfer and entropy analysis of a hydromagnetic GO-Fe3O4/H2O hybrid nanofluid in an energy storage enclosure partially filled with non-Darcy porous medium under an oblique magnetic field},
  author = {H. Thameem Basha and Hyunju Kim and Bongsoo Jang},
  journal = {International Journal of Numerical Methods for Heat & Fluid Flow},
  year = {2025},
  doi = {10.1108/HFF-03-2024-0193}
}

@article{deepmathlab-10-1016-j-cnsns-2024-108455,
  title = {The time-fractional Allen–Cahn equation on geometric computational domains},
  author = {Dongsun Lee and Hyunju Kim},
  journal = {Communications in Nonlinear Science and Numerical Simulation},
  year = {2025},
  doi = {10.1016/j.cnsns.2024.108455}
}

@article{deepmathlab-10-1063-5-0264031,
  title = {Magnetohydrodynamic buoyancy-driven hybrid nanofluid flow and heat transfer within a partially heated porous square cavity},
  author = {K. Thirumalaisamy and Young Duk Lee and Hyunju Kim},
  journal = {Physics of Fluids},
  year = {2025},
  doi = {10.1063/5.0264031}
}

@article{deepmathlab-Computational-analysis-of-magnetohydrodynamic-buoyancy-driven-2025,
  title = {Computational analysis of magnetohydrodynamic buoyancy-driven flow and thermal transmission within a circular dome-shaped porous enclosure using finite difference scheme},
  author = {Hyunju Kim and K. Thirumalaisamy and Venkatadri Kothuru},
  journal = {International Journal of Numerical Methods for Heat & Fluid Flow},
  year = {2025}
}

@inproceedings{deepmathlab-Robust-Weight-Initialization-for-Tanh-Neural-2025,
  title = {Robust Weight Initialization for Tanh Neural Networks with Fixed Point Analysis},
  author = {Hyunwoo Lee and Hayoung Choi and Hyunju Kim},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2025}
}

@article{deepmathlab-10-1016-j-icheatmasstransfer-2024-107999,
  title = {Exploring bioconvection dynamics within an inclined porous annulus: Integration of CFD and AI on the synergistic effects of hybrid nanofluids, oxytactic microorganisms, and magnetic field},
  author = {H. A. Kumara Swamy and Daesick Ryu and Hyunju Kim and M. Sankar and Younghae Do},
  journal = {International Communications in Heat and Mass Transfer},
  year = {2024},
  doi = {10.1016/j.icheatmasstransfer.2024.107999}
}

@article{deepmathlab-10-1063-5-0222802,
  title = {Computational analysis of magnetohydrodynamic ternary-hybrid nanofluid flow and heat transfer inside a porous cavity with shape effects},
  author = {Hyunju Kim and Younghae Do and S. Ramachandran and M. Sankar and K. Thirumalaisamy},
  journal = {Physics of Fluids},
  year = {2024},
  doi = {10.1063/5.0222802}
}

@article{deepmathlab-10-1016-j-matcom-2023-10-014,
  title = {Mapping techniques for collocation method of time-fractional convection–diffusion equations in domains with cracks},
  author = {Bongsoo Jang and Hyunju Kim},
  journal = {Mathematics and Computers in Simulation},
  year = {2024},
  doi = {10.1016/j.matcom.2023.10.014}
}

@article{deepmathlab-10-3390-fractalfract8010065,
  title = {A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications},
  author = {Seyeon Lee and Hyunju Kim and Bongsoo Jang},
  journal = {Fractal and Fractional},
  year = {2024},
  doi = {10.3390/fractalfract8010065}
}

@article{deepmathlab-10-1186-s13662-021-03355-3,
  title = {An efficient numerical approach for solving two-point fractional order nonlinear boundary value problems with Robin boundary conditions},
  author = {Hyunju Kim and Junseo Lee and Bongsoo Jang},
  journal = {Advances in Difference Equations},
  year = {2021},
  doi = {10.1186/s13662-021-03355-3}
}

@article{deepmathlab-10-1016-j-apnum-2021-01-013,
  title = {A fast and high-order numerical method for nonlinear fractional-order differential equations with non-singular kernel},
  author = {Seyeon Lee and Junseo Lee and Hyunju Kim and Bongsoo Jang},
  journal = {Applied Numerical Mathematics},
  year = {2021},
  doi = {10.1016/j.apnum.2021.01.013}
}

@article{deepmathlab-10-1016-j-cam-2020-112988,
  title = {Shifted Jacobi spectral-Galerkin method for solving fractional order initial value problems},
  author = {Hyunju Kim and Keon Ho Kim and Bongsoo Jang},
  journal = {Journal of Computational and Applied Mathematics},
  year = {2020},
  doi = {10.1016/j.cam.2020.112988}
}

@article{deepmathlab-10-1016-j-amc-2020-125228,
  title = {New explicit and accelerated techniques for solving fractional order differential equations},
  author = {Hyunju Kim and Keon Ho Kim and Seyeon Lee and Bongsoo Jang},
  journal = {Applied Mathematics and Computation},
  year = {2020},
  doi = {10.1016/j.amc.2020.125228}
}

@article{deepmathlab-10-48550-arXiv-2010-02664,
  title = {Efficient and fast predictor-corrector method for solving nonlinear fractional differential equations with non-singular kernel},
  author = {Seyeon Lee and Junseo Lee and Hyunju Kim and Bongsoo Jang},
  journal = {arXiv preprint},
  year = {2020},
  doi = {10.48550/arXiv.2010.02664}
}

@article{deepmathlab-Enhanced-semi-analytic-method-for-solving-2019,
  title = {Enhanced semi-analytic method for solving nonlinear differential equations of fractional order},
  author = {Bongsoo Jang and Hyunju Kim},
  journal = {Journal of the Korean Society for Industrial and Applied Mathematics},
  year = {2019}
}

@article{deepmathlab-Patchwise-mapping-method-for-solving-elliptic-2019,
  title = {Patchwise mapping method for solving elliptic boundary value problems containing multiple singularities},
  author = {Hyunju Kim},
  journal = {Journal of Applied Mathematics and Physics},
  year = {2019}
}

@article{deepmathlab-10-1002-num-22277,
  title = {Implicitly enriched Galerkin methods for numerical solutions of fourth-order partial differential equations containing singularities},
  author = {Sinae Kim and Hae-Soo Oh and Birce Palta and Hyunju Kim},
  journal = {Numerical Methods for Partial Differential Equations},
  year = {2018},
  doi = {10.1002/num.22277}
}

@article{deepmathlab-Partition-of-unity-isogeometric-analysis-of-2016,
  title = {Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems},
  author = {Bongsoo Jang and Hyunju Kim and Hae-Soo Oh and Sinae Kim},
  journal = {Computational Mechanics},
  year = {2016}
}

@article{deepmathlab-Enriched-isogeometric-analysis-of-elliptic-boundary-2014,
  title = {Enriched isogeometric analysis of elliptic boundary value problems in domains with cracks and/or corners},
  author = {Hae-Soo Oh and Hyunju Kim and Jae Woo Jeong},
  journal = {International Journal for Numerical Methods in Engineering},
  year = {2014}
}

@article{deepmathlab-10-1016-j-cma-2012-09-009,
  title = {Mapping techniques for isogeometric analysis of elliptic boundary value problems containing singularities},
  author = {Jae Woo Jeong and Hae-Soo Oh and Sunbu Kang and Hyunju Kim},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year = {2013},
  doi = {10.1016/j.cma.2012.09.009}
}

@phdthesis{deepmathlab-Isogeometric-analysis-and-patchwise-reproducing-polynomial-2013,
  title = {Isogeometric analysis and patchwise reproducing polynomial particle method for plates},
  author = {Hyunju Kim},
  school = {The University of North Carolina at Charlotte},
  year = {2013}
}

@article{deepmathlab-Patchwise-Reproducing-Polynomial-Particle-Method-for-2013,
  title = {Patchwise Reproducing Polynomial Particle Method for Thick Plates: bending, free vibration, and buckling},
  author = {Hyunju Kim and Bongsoo Jang},
  journal = {Journal of the Korean Society for Industrial and Applied Mathematics},
  year = {2013}
}