Linda Cummings
Associate Dean for Graduate Studies and Research, Jordan Hu College of Science and Liberal Arts
- linda.cummings@njit.edu
- 973-596-5479
- 208C Cullimore Hall (CULM)
About Me
Professor Cummings studied for her BA and PhD at the University of Oxford. She held postdoctoral positions at U. Oxford, Technion IIT, Ecole Normale Superieure (Paris), and a faculty position at the University of Nottingham, before coming to NJIT in 2008.
Education
Ph.D.; University of Oxford; Mathematics; 1996
B.A.; University of Oxford; Mathematics; 1993
Office Hours
By appointment
Website
2026 Fall Courses
MATH 790A - DOCT DISSERTATION & RES
MATH 725 - INDEPENDENT STUDY I
MATH 792B - PRE DOCTORAL RESEARCH
Teaching Interests
Complex analysis, fluid dynamics, differential equations, mathematical modeling, calculus.
Past Courses
MATH 112: CALCULUS II
MATH 213: CALCULUS IIIB
MATH 222: DIFFERENTIAL EQUATIONS
MATH 227: MATHEMATICAL MODELING
MATH 331: INTRO PARTIAL DIFF EQ
MATH 331: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
MATH 332: INTRO COMPLEX VARIABLES
MATH 451: METHODS APPL MATH II
MATH 613: ADV APPLIED MATH-MODELNG
MATH 656: COMPLEX VARIABLES
MATH 656: COMPLEX VARIABLES I
MATH 689: ADV APPLIED MATH II
MATH 715: MATHEMATICAL FLUID DYNAMICS I
MATH 756: COMPLEX VARIABLES II
MATH 791: GRADUATE SEMINAR
Research Interests
Fluid dynamics, liquid crystals, free boundary problems, asymptotics, complex variable methods, mathematical modeling of industrial and biomedical systems.
Conference Abstract
"Identifying the universal domain size required for an accurate description of porous media"
Proceedings of Mathematical Structure in Data: Topology, Geometry and Applications Workshop, October (4th Quarter/Autumn), 2026.
Proceedings of Mathematical Structure in Data: Topology, Geometry and Applications Workshop, October (4th Quarter/Autumn), 2026.
"Robustness of Persistent Homology when Noising and Denoising 3D Images"
Proceedings of Mathematical Structure in Data: Topology, Geometry and Applications Workshop, October (4th Quarter/Autumn), 2026.
Proceedings of Mathematical Structure in Data: Topology, Geometry and Applications Workshop, October (4th Quarter/Autumn), 2026.
"Quest for a hot stable nanobubble in acoustic Field"
Proceedings of the Nanbobubbles 2026 Conference, August, 2026.
Proceedings of the Nanbobubbles 2026 Conference, August, 2026.
"Network-based modeling of fluid flow through membranes"
Proceedings of the 15th International Colloids Conference, June, 2026.
Proceedings of the 15th International Colloids Conference, June, 2026.
"Applying topological data analysis to porous media"
Proceedings of Interpore 2026, May, 2026.
Proceedings of Interpore 2026, May, 2026.
"Network-based modeling of fluid flow through membranes"
Proceedings of Interpore 2026, May, 2026.
Proceedings of Interpore 2026, May, 2026.
"In search of hot stable nanobubbles in an acoustic field"
Proceedings of American Mathematical Society Spring Eastern Section Meeting, March, 2026.
Proceedings of American Mathematical Society Spring Eastern Section Meeting, March, 2026.
"Laser heating and melting of metals on nanoscale: Breakup of metal filaments and thermal crowding"
Proceedings of Nanomaterials 2026, March, 2026.
Proceedings of Nanomaterials 2026, March, 2026.
"Mitigating Topological Noise in 3D Images of Porous Media"
Proceedings of the Northeast Complex Fluids and Soft Matter Workshop, February, 2026.
Proceedings of the Northeast Complex Fluids and Soft Matter Workshop, February, 2026.
"Point-Cloud vs Distance Filtration TDA for Permeability Estimation,"
Proceedings of Northeast Complex Fluids and Soft Matter Workshop, February, 2026.
Proceedings of Northeast Complex Fluids and Soft Matter Workshop, February, 2026.
"Flow morphology and patterns in porous media convection: A persistent homology analysis"
Proceedings of the Divison of Fluid Dynamics of American Physical Society Annual Meeting, November, 2025.
Proceedings of the Divison of Fluid Dynamics of American Physical Society Annual Meeting, November, 2025.
"Identifying Particle Features That Drive Clustering in Shear-Driven Dense Suspensions"
Proceedings of the SIAM-NNP 2025 Conference, November, 2025.
Proceedings of the SIAM-NNP 2025 Conference, November, 2025.
"Investigating the roles of topology and geometry in pore network membrane filters"
Proceedings of the Divison of Fluid Dynamics of American Physical Society Annual Meeting, November, 2025.
Proceedings of the Divison of Fluid Dynamics of American Physical Society Annual Meeting, November, 2025.
"Laser heating and melting of metals on nanoscale: Breakup of metal filaments and thermal crowding"
Proceedings of the Division of Fluid Dynamics of American Physical Society Annual Meeting, November, 2025.
Proceedings of the Division of Fluid Dynamics of American Physical Society Annual Meeting, November, 2025.
"Machine Learning and Topological Approaches for Predicting Permeability of Porous Media"
Proceedings of the Divison of Fluid Dynamics of American Physical Society Annual Meeting, November, 2025.
Proceedings of the Divison of Fluid Dynamics of American Physical Society Annual Meeting, November, 2025.
"Mitigating Topological Noise in 3D Images of Porous Media"
Proceedings of the Divison of Fluid Dynamics of American Physical Society, November, 2025.
Proceedings of the Divison of Fluid Dynamics of American Physical Society, November, 2025.
"Mitigating Topological Noise in 3D Images of Porous Media"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"Modeling the dynamics of an oil drop driven by a surface acoustic wave in the underlying substrate"
Proceedings of the Division of Fluid Dynamics of Americal Physical Society Annual Meeting, November, 2025.
Proceedings of the Division of Fluid Dynamics of Americal Physical Society Annual Meeting, November, 2025.
"Point-Cloud vs Distance Filtration TDA for Permeability Estimation"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"Training AI Models to Predict Permeability on Porous Media"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"Using Neural Networks and Persistence Homology to Predict Membrane Filter Throughput"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"Correlating topology and performance of membrane filter pore networks"
Frontiers in Applied and Computational Mathematics, June, 2025.
Frontiers in Applied and Computational Mathematics, June, 2025.
"Laser heating and melting of metals on nanoscale: breakup of metal filaments & thermal crowding"
12th Conference of the International Marangoni Association, June, 2025.
12th Conference of the International Marangoni Association, June, 2025.
"Modeling the dynamics of an oil drop driven by a surface acoustic wave in the underlying substrate"
Frontiers in Applied and Computational Mathematics, June, 2025.
Frontiers in Applied and Computational Mathematics, June, 2025.
"Nonlinear dynamics of vibrated fluid drops"
Frontiers in Applied and Computational Mathematics, June, 2025.
Frontiers in Applied and Computational Mathematics, June, 2025.
"Understanding fluid flux: Topological data analysis of porous media"
Frontiers in Applied and Computational Mathematics, June, 2025.
Frontiers in Applied and Computational Mathematics, June, 2025.
"Dynamics of a sessile drop exposed to a surface acoustic wave"
SPP 2171 Spring Conference: Dynamic Wetting of Flexible, Adaptive, and Swtchable Substrates, February, 2025.
SPP 2171 Spring Conference: Dynamic Wetting of Flexible, Adaptive, and Swtchable Substrates, February, 2025.
"Mathematical Modeling of Adsorption and Sieving in Membrane Pore Networks"
American Physical Society Division of Fluid Mechanics Annual Meeting, November, 2024.
American Physical Society Division of Fluid Mechanics Annual Meeting, November, 2024.
"Network-based modeling of fluid flow through membranes"
6th International Conference on Soft Materials, November, 2024.
6th International Conference on Soft Materials, November, 2024.
"Understanding Fluid Flux: Topological Data Analysis of Porous Media"
SIAM Conference on Mathematics of Data Science, October (4th Quarter/Autumn), 2024.
SIAM Conference on Mathematics of Data Science, October (4th Quarter/Autumn), 2024.
"Network modeling of porous media transport"
1st European Fluid Dynamics Conference Publisher, September, 2024.
1st European Fluid Dynamics Conference Publisher, September, 2024.
"Stochastic Modeling of Adsorption and Sieving in Membrane Pore Networks"
Workshop on Robust Optimization and Simulation of Complex Stochastic Systems Publisher, September, 2024.
Workshop on Robust Optimization and Simulation of Complex Stochastic Systems Publisher, September, 2024.
"Network and Stochastic Modeling of Membrane Filtration with Multiple Fouling Modes"
ECCOMAS, June, 2024.
ECCOMAS, June, 2024.
"Topological data analysis applied to networks modeling porous media transport"
ECCOMAS, June, 2024.
ECCOMAS, June, 2024.
"Modeling Filtration through Random Pore Networks: Correlating Structure and Performance"
Complex Networks, December, 2023.
Complex Networks, December, 2023.
"Extracting oil from an oil and water mixture by using their different wetting properties via the Acoustowetting phenomenon"
American Physical Society, November, 2023.
American Physical Society, November, 2023.
"Forced Phase Separation in a Closed Cell"
American Physical Society, November, 2023.
American Physical Society, November, 2023.
"Network modeling of membrane filtration with multiple fouling modes"
American Physical Society, November, 2023.
American Physical Society, November, 2023.
"On correlating topology and performance of pore networks in membrane filters"
American Physical Society, November, 2023.
American Physical Society, November, 2023.
"Simulating Thermal Effects in the Dewetting of Liquid Metal Nanostructures"
American Physical Society, November, 2023.
American Physical Society, November, 2023.
"Thin Films Under Action of Surface Acoustic Waves: Experiments, Modeling, and Simulations"
American Physical Society, November, 2023.
American Physical Society, November, 2023.
"Dewetting of nematic liquid crystal films"
Bulletin of the American Physical Society, March, 2020.
Bulletin of the American Physical Society, March, 2020.
"Simulating instabilities of liquid metal alloys on nanoscale using molecular dynamics simulations"
Bulletin of the American Physical Society, March, 2020.
Bulletin of the American Physical Society, March, 2020.
"Wetting and dewetting of nanoscale films of nematic liquid crystal"
Bulletin of the American Physical Society, March, 2020.
Bulletin of the American Physical Society, March, 2020.
"Modeling dynamics of thin films including thermal effects"
February, 2020.
February, 2020.
"Instabilities of Liquid Crystal Films on Nanoscale"
November, 2019.
November, 2019.
"Metal films of nanoscale thickness: from targeted experiments to predictive modeling and accurate simulations"
Karlsruhe Institute of Technology, September, 2019.
Karlsruhe Institute of Technology, September, 2019.
"Stochastic Modeling of Flow Through Complex Geometries"
U. Buenos Aires, June, 2019.
U. Buenos Aires, June, 2019.
"Modeling liquid crystal films on nanoscale"
BIRS Conference Center, April (2nd Quarter/Spring), 2019.
BIRS Conference Center, April (2nd Quarter/Spring), 2019.
"Dewetting and pattern formation in ultra-thin films of nematic liquid crystal: effects of variable substrate anchoring"
American Physical Society, November, 2018.
American Physical Society, November, 2018.
"Flow and fouling in multi-layered membrane filters"
American Physical Society, November, 2018.
American Physical Society, November, 2018.
"Flow and fouling in multi-layered membrane filters"
Bulletin of the American Physical Society, November, 2018.
Bulletin of the American Physical Society, November, 2018.
"Including thermal effects in computing dynamics of thin films on thermally conductive substrates"
American Physical Society, November, 2018.
American Physical Society, November, 2018.
"Membrane filtration with multiple fouling mechanisms"
American Physical Society, November, 2018.
American Physical Society, November, 2018.
"Modeling and design optimization for pleated membrane filters"
American Physical Society, November, 2018.
American Physical Society, November, 2018.
"Modeling filtering process using stochastic simulations of Monte-Carlo type"
American Physical Society, November, 2018.
American Physical Society, November, 2018.
"Modelling connectivity and asymmetry in membrane filters"
Bulletin of the American Physical Society, November, 2018.
Bulletin of the American Physical Society, November, 2018.
"Stability of fluid films of nanoscale thickness involving contact lines"
American Physical Society, November, 2018.
American Physical Society, November, 2018.
Journal Article
Yifan Li, Mark Fasano, Avital Einhorn, Javier Diez, Ofer Manor, Linda J. Cummings, Lou Kondic. 2026. "Using surface acoustic waves to drive thin film flow over an obstacle." Proceedings of the Royal Society A, vol. 482, pp. 20260147.
Ensela Mema, Linda J. Cummings, Lou Kondic. 2026. "interfacial dynamics of a bi-layer system with a large viscosity ratio: a simple mathematical modal." Journal of Engineering Mathematics, vol. 159, pp. 13.
Mark Fasano, Yifan Li, Javier Diez, Ofer Manor, Linda J. Cummings, Lou Kondic. 2026. "Dynamics of a three-dimensional oil drop driven by a surface acoutic wave over topolgraphy." European Physical Journal E, vol. 49, pp. 54.
Marco de Paoli, Sergia Pirozolli, Catherin Lalu, Lou Kondic. 2026. "Flow morphology and patterns in porous media convection: A persistent homology analysis." Journal of Fluid Mechanics, vol. 1039, pp. A7.
Ryan Allaire, Linda J. Cummings, Lou Kondic. 2026. "Controlling Breakup of a Liquid Filament: From Edge Melting to Thermal Scissors." Journal of Fluid Mechanics, vol. 1037, pp. A59.
Binan Gu, Pejman Sanaei, Lou Kondic, Linda J. Cummings. 2026. "Stochastic Modeling of Filtration with Sieving." Journal of Fluid Mechanics, vol. 1035, pp. A28.
Matthew Illingworth, Binan Gu, Linda J. Cummings, Lou Kondic. 2026. "On the influence of topology on performance of pore networks in membrane filters." Physical Review E, vol. 113, pp. 024301.
Linda J. Cummings, Binan Gu, Lou Kondic. 2026. "Filtration in Pore Networks." Annual Review of Fluid Mechanics, vol. 58, pp. 221.
Mark Fasano, Yifan Li, Javier Diez, Joseph d'Addesa, Ofer Manor, Linda J. Cummings, Lou Kondic. 2025. "Modeling the dynamics of an oil drop driven by a surface acoustic wave in the underlying substrate." Journal of Fluid Mechanics, vol. 1022, pp. A49.
Jesus Merino Marcos, Yifan Li, Mark Fasano, Javier Diez, Linda J. Cummings, Ofer Manor, Lou Kondic. 2025. "Monte Carlo-based model for the extraction of oil from oil-water mixtures using wetting and surface acoustic waves." Physical Review E, vol. 112, pp. 025502.
Yifan Li, Jesus Merino Marcos, Mark Fasano, Javier Diez, Linda J. Cummings, Lou Kondic, Ofer Manor. 2025. "Using wetting and ultrasonic waves to extract oil from oil/water mixtures." Journal of Colloid and Interface Science, vol. 700, pp. 138442.
Mark Fasano, Javier Diez, Ofer Manor, Lou Kondic, Linda J. Cummings. 2025. "Phase separation of binary fluid mixture under external force." J. Eng. Mechanics, vol. 152, pp. 12.
Jimmie Adriazola, Binan Gu, Linda J. Cummings, Lou Kondic. 2025. "Fractal dimension of non-Newtonian Hele-Shaw flow subject to Saffman-Taylor instability." Physical Review E, vol. 110, pp. 065107.
Ryan Allaire, Linda J. Cummings, Lou Kondic. 2025. "Using thermal crowding to direct pattern formation on the nanoscale." Physical Review Letters, vol. 133, pp. 214003.
Binan Gu, Lou Kondic, Linda J. Cummings. 2023. "Flow through pore-size graded membrane pore network." Phys. Rev. Fluids , vol. 8, pp. 044502.
Yixuan Sun, Linda J. Cummings, Lou Kondic. 2022. "Filtration with Multiple Species of Particles." Transport in Porous Media, vol. 5, pp. 044306.
Binan Gu, Linda J. Cummings, Lou Kondic. 2022. "Network-based membrane filters: Influence of network and pore size variability on filtration performance." J. Membrane Science, vol. 657, pp. 120668.
Binan Gu, Linda J. Cummings, Lou Kondic. 2022. "A Graphical Representation of Membrane Filtration." SIAM J. Appl. Math., vol. 82, pp. 950.
Ryan Allaire, Linda J. Cummings, Lou Kondic. 2022. "Influence of thermal effects on the breakup of thin films of nanometric thickness." Phys. Rev. Fluids, vol. 7, pp. 064001.
D. Fong, Linda J. Cummings, S. J. Chapman, P. Sanaei. 2021. "On the performance of multilayered membrane filters." Journal of Engineering Mathematics, vol. 127, no. 1.
Lou Kondic, Linda J. Cummings. 2021. "Instabilities of nematic liquid crystal films." Curries. Opin. Colloid In., vol. 455, pp. 101478.
Ryan Allaire, Linda J. Cummings, Lou Kondic. 2021. "On efficient asymptotic modelling of thin films on thermally conductive substrates." Journal of Fluid Mechanics, vol. 915, pp. A133.
Ryan Allaire, Lou Kondic, Linda J. Cummings, Philip Rack, Miguel Fuentes-Cabrera. 2021. "The Role of Phase Separation on Rayleigh-Plateau Type Instabilities in Alloys." Journal of Physical Chemistry C, vol. 125, pp. 5723.
Ensela Mema, Lou Kondic, Linda J. Cummings. 2021. "Dielectrowetting of a thin nematic liquid crystal layer." Physical Review E, vol. 103, pp. 032702.
Michael Lam, Linda J. Cummings, Lou Kondic. 2020. "Effects of spatially-varying substrate anchoring on instabilities and dewetting of thin Nematic Liquid Crystal films." Soft Matter, vol. 16, pp. 10187.
Binan Gu, Dilan Renaud, Pejman Sanai, Lou Kondic, Linda J. Cummings. 2020. " On the influence of pore connectivity on performance of membrane filters." Journal of Fluid Mechanics, vol. 902, pp. A5.
Yixuan Sun, Pejman Sanaei, Lou Kondic, Linda J. Cummings. 2020. "Modeling and design optimization for pleated membrane filters." Physical Review Fluids, vol. 5, no. 4, pp. 044306.
Pejman Sanaei, Linda J. Cummings. 2019. "Membrane filtration with multiple fouling mechanisms." Physical Review Fluids, vol. 4, no. 12, pp. 124301.
William Batson, Linda J. Cummings, David G. Shirokoff, Lou Kondic. 2019. "Oscillatory instability of liquid films nonlocally heated from below." Journal of Fluid Mechanics, vol. 872, pp. 928-962.
Pejman Sanaei, Linda J. Cummings, Sarah L Waters, Ian M Griffiths. 2019. "Curvature- and fluid-stress-driven growth in a tissue engineering scaffold." Biomechanics and modeling in Mechanobiology, vol. 18, no. 3, pp. 589.
Ryan Allaire, A. Dhakane, R. Emery, P. Ganesh, P. Rack, Lou Kondic, Linda J. Cummings, M. Fuentes-Cabrera. 2019. "Surface, Interface, and Temperature Effects on the Phase Separation and Nanoparticle Self Assembly of Bi-Metallic Ni0.5Ag0.5: A Molecular Dynamics Study." Nanomaterials, vol. 9, pp. 1040.
Michael A Lam, Linda J. Cummings, Lou Kondic. 2019. "Computing dynamics of thin films via large-scale GPU-based simulations." Journal of Computational Physics X, vol. 2, pp. 100001.
Pejman Sanaei, Linda J. Cummings. 2018. "Membrane filtration with complex branching pore morphology." Physical Review Fluids, vol. 3, no. 9, pp. 094305.
Ensela Mema, Lou Kondic, Linda J. Cummings. 2018. "Director gliding in a nematic liquid crystal layer: Quantitative comparison with experiments." Physical Review E, vol. 97, no. 3, pp. 032704.
Michael A Lam, Linda J. Cummings, Lou Kondic. 2018. "Stability of thin fluid films characterized by a complex form of effective disjoining pressure." Journal of Fluid Mechanics, vol. 841, pp. 925-961.
Daniel Fong, Linda J. Cummings. 2017. "Mathematical Modeling of Ischemia-Reperfusion Injury and Postconditioning Therapy ." Bulletin of Mathematical Biology, vol. 79, no. 11, pp. 2474-2511.
Pejman Sanaei, Linda J. Cummings. 2017. "Flow and fouling in membrane filters: effects of membrane morphology." Journal of Fluid Mechanics, vol. 818, pp. 744-771.
Ensela Mema, Lou Kondic, Linda J. Cummings. 2017. "Effects of flexoelectricity and weak anchoring on a Freedericksz transition cell." Physical Review E, vol. 95, pp. 012701.
Pejman Sanaei, Giles W Richardson, Tom Witelski, Linda J. Cummings. 2016. "Flow and fouling in a pleated membrane filter." Journal of Fluid Mechanics, vol. 795, pp. 36-59.
Shahriar Afkhami , Linda J. Cummings, Ian M Griffiths. 2016. "Interfacial deformation and jetting of a magnetic fluid." Computers and Fluids, vol. 124, pp. 149–156.
Ensela Mema, Lou Kondic, Linda J. Cummings. 2015. "Substrate induced gliding in a nematic liquid crystal layer." Physical Review E, vol. 92, no. 6, pp. 062513.
Thomas G Anderson, Ensela Mema, Lou Kondic, Linda J. Cummings. 2015. "Transitions in Poiseuille flow of nematic liquid crystal." International Journal of Nonlinear Mechanics, vol. 75, pp. 15-21.
Michael A Lam, Linda J. Cummings, Te-Sheng Lin, Lou Kondic. 2015. "Three-dimensional coating flow of nematic liquid crystal on an inclined substrate." European Journal of Applied Mathematics, vol. 26, no. 5, pp. 647-669.
Linda J. Cummings, Jonathan Low, Tim G Myers. 2014. "Extensional flow of nematic liquid crystal with an applied electric field." European Journal of Applied Mathematics, vol. 25, no. 4, pp. 397.
Linda J. Cummings, Ensela Mema, Chenjing Cai, Lou Kondic. 2014. "Electric field variations within a nematic liquid crystal layer." Physical Review E, vol. 90, pp. 012503.
Jeffrey V. Pohlmeyer, Linda J. Cummings. 2013. "Cyclic loading of growing tissue in a bioreactor: Mathematical model and asymptotic analysis." Bulletin of Mathematical Biology, vol. Online.
Te-Sheng Lin, Linda J. Cummings, Andrew J Archer, Lou Kondic, Uwe Thiele. 2013. "Note on the hydrodynamic description of thin nematic films: strong anchoring model." Physics of Fluids, vol. 25, no. 8, pp. 082102.
Linda J. Cummings, Chenjing Cai, Lou Kondic. 2013. "Bifurcation properties of nematic liquid crystals exposed to an electric field: switchability, bistability & multistability." Physical Review E, vol. 88, pp. 012509.
Te-Sheng Lin, Lou Kondic, Uwe Thiele, Linda J. Cummings. 2013. "Modelling spreading dynamics of liquid crystals in three spatial dimensions." Journal of Fluid Mechanics, vol. 729, pp. 214-230.
Linda J. Cummings, Chenjing Cai, Lou Kondic. 2013. "Towards an optimal model for a bistable nematic liquid crystal display device." Journal of Engineering Mathematics, vol. 80, no. 1, pp. 21-38.
Michele Taroni, Chris J W Breward, Linda J. Cummings, Ian M Griffiths. 2013. "Asymptotic solutions of glass temperature profiles during steady optical fibre drawing." Journal of Engineering Mathematics, vol. 80, no. 1, pp. 1-20.
Jeffrey Pohlmeyer, Sarah L Waters, Linda J. Cummings. 2013. "Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold." Bulletin of Mathematical Biology, vol. 75, no. 3, pp. 393-427.
Linda J. Cummings, Raquel Perez-Castillejos, Eric T Mack. 2012. "Analysis of biochemical equilibria relevant to the immune response: finding the dissociation constants." Bulletin of Mathematical Biology, vol. 74, no. 5, pp. 1171-1206.
Te-Sheng Lin, Lou Kondic, Linda J. Cummings. 2012. "Defect modeling in spreading nematic droplets." Physical Review E, vol. 85, pp. 012702.
Sean P Naughton, Namrata K Patel, Ivana Seric, Lou Kondic, Te-Sheng Lin, Linda J. Cummings. 2012. "Instability of gravity-driven flow of liquid crystal films." SIAM Undergraduate Research Online, vol. 5, pp. 1.
Te-Sheng Lin, Lou Kondic, Linda J. Cummings. 2012. "Defect modeling in spreading nematic droplets." Physical Review E, pp. 012702.
Linda J. Cummings, Te-Sheng Lin, Lou Kondic. 2011. "Modeling and simulations of the spreading and destabilization of small nematic droplets." Physics of Fluids, vol. 23, pp. 043102, 1 - 11.
Eric T Mack, Linda J. Cummings, Raquel Perez-Castillejos. 2010. "Mathematical Model for Determining the Binding Constants between Immunoglobulins, Bivalent Ligands, and Monovalent Ligands." Analytical and Bioanalytical Chemistry, vol. 399, no. 4, pp. 1641-1652.
Hala A Ashi, Linda J. Cummings, Paul C Matthews. 2010. "Exponential time-differencing methods: stability analysis and application to the nonlinear Schrodinger equation." International Journal of Numerical Methods and Applications, vol. 4, pp. 99-128.
Linda J. Cummings, Leah Band, Sarah Waters, Jonathan Wattis. 2009. "Modelling crystal aggregation and deposition in the catheterised lower urinary tract." Journal of Mathematical Biology, vol. 59, no. 6, pp. 809-840.
Linda J. Cummings, Nicholas Sawyer, Stephen Morgan, Felicity Rose, Sarah Waters. 2009. "Tracking large solid constructs suspended in a rotating bioreactor: a combined experimental and theoretical study." Biotechnology & Bioengineering, vol. 104, no. 6, pp. 1224-1234.
Xiang Yi, Jonathan AD Wattis, Hadi Susanto, Linda J. Cummings. 2009. "Discrete breathers in a 2D spring-mass lattice." Journal of Physics A: Mathematical & Theoretical, vol. 42, no. 35, pp. 355207.
Linda J. Cummings, Xiang Yi, Jonathan Wattis, Hadi Susanto. 2009. "Discrete breathers in a two-dimensional spring-mass lattice." Journal of Physics A: Mathematical & Theoretical, vol. 42, no. 35, pp. 355207.
Linda J. Cummings, Hala Ashi, Paul Matthews. 2009. "Comparison of Methods for evaluating functions of a matrix exponential." Applied Numerical Mathematics, vol. 59, pp. 468-486.
Linda J. Cummings, Robert Whittaker, Richard Booth, Rosemary Dyson, Claire Bailey, Louise Chini, Shailesh Naire, Sevil Payvandi, Zimei Rong, Hannah Woollard, Sarah Waters. 2009. "Mathematical modelling of fibre-enhanced perfusion in a tissue engineering bioreactor." Journal of Theoretical Biology, vol. 256, no. 4, pp. 533-546.
Linda J. Cummings, Jennifer H Siggers, Sarah L Waters, Jonathan A Wattis. 2009. "Flow dynamics in a stented ureter." Oxford Journals/IMA, vol. 26, no. 1, pp. 1-24.
Conference Paper
"Laser heating and melting of metals on nanoscale: breakup of metal filaments"
International Heat Transfer Conference Publisher, August, 2023.
International Heat Transfer Conference Publisher, August, 2023.
Conference Proceeding
"The effect of scaffold morphology on tissue growth"
Bulletin of the American Physical Society, March, 2018.
Bulletin of the American Physical Society, March, 2018.
"Instability of a liquid film non-locally heated from below"
Bulletin of the American Physical Society, November, 2017.
Bulletin of the American Physical Society, November, 2017.
"Modeling filtration and fouling within a microstructured membrane filter"
Bulletin of the American Physical Society, November, 2017.
Bulletin of the American Physical Society, November, 2017.
"Stochastic approach to model fouling in membrane filters with complex pore morphology"
Bulletin of the American Physical Society, November, 2017.
Bulletin of the American Physical Society, November, 2017.
"Internal structure and morphology profile in optimizing filter membrane performance"
Bulletin of the American Physical Society, March, 2017.
Bulletin of the American Physical Society, March, 2017.
"Modeling branching pore structures in membrane filters"
Bulletin of the American Physical Society, November, 2016.
Bulletin of the American Physical Society, November, 2016.
"Asymptotic model for three dimensional coating flow of nematic liquid crystal on an inclined substrate"
Bulletin of the American Physical Society, March, 2015.
Bulletin of the American Physical Society, March, 2015.
"Substrate induced gliding for a nematic liquid crystal layer"
Bulletin of the American Physical Society, March, 2015.
Bulletin of the American Physical Society, March, 2015.
"Free surface dynamics of nematic liquid crystal"
Bulletin of the American Physical Society, November, 2014.
Bulletin of the American Physical Society, November, 2014.
"Changes in membrane filter capture efficiency due to folding"
MPI 2013, Worcester Polytechnic Institute, October (4th Quarter/Autumn), 2013.
MPI 2013, Worcester Polytechnic Institute, October (4th Quarter/Autumn), 2013.
"Modeling of three-dimensional nematic droplets"
Proceedings of 24th International Liquid Crystals conference, July (3rd Quarter/Summer), 2012.
Proceedings of 24th International Liquid Crystals conference, July (3rd Quarter/Summer), 2012.
"Matched asymptotic solutions of glass temperature profiles during optical fiber drawing"
MPI 2011, New Jersey Institute of Technology, February, 2012.
MPI 2011, New Jersey Institute of Technology, February, 2012.
"Modeling spreading of nematic liquid crystal droplets"
American Mathematical Society, April (2nd Quarter/Spring), 2011.
American Mathematical Society, April (2nd Quarter/Spring), 2011.
"Direct numerical simulation of ferrofluid drops in a cylindrical microfluidic under the influence of a non-uniform magnetic field"
Proceedings of 16th US National Congress of Theoretical & Applied Mechanics, State College, PA, June, 2010.
Proceedings of 16th US National Congress of Theoretical & Applied Mechanics, State College, PA, June, 2010.
"Evolution of an elliptical bubble in an accelerating extensional flow"
Mathematical Problems in Industry, September, 2008.
Mathematical Problems in Industry, September, 2008.
Other
"Effect of an applied electric field on a weakly-anchored non-planar Nematic Liquid Crystal (NLC) layer"
American Physical Society Meeting Abstracts, March, 2016.
American Physical Society Meeting Abstracts, March, 2016.
"Flow and fouling in membrane filters: Effect of membrane morphology"
American Physical Society Meeting Abstracts, November, 2015.
American Physical Society Meeting Abstracts, November, 2015.
Technical Report
"Two problems on the flow of viscous sheets of molten glass"
RPI, April (2nd Quarter/Spring), 2011.
RPI, April (2nd Quarter/Spring), 2011.
Material Regarding New Courses/Curricula
"Lecture notes for Math 756: Complex Analysis II"
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"Lecture notes for Math 656: Complex Analysis and applications"
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Professional
SIAM Journal on Applied Mathematics
Editorial Board, 2022
Proceeding of the Royal Society: A
Editorial Board, 2021
IMA Journal of Applied Mathematics
Editorial Board, 2011