Alan E. Lindsay


Associate Professor
Dept. of Applied & Computational Math & Statistics
University of Notre Dame
South Bend, IN, 46656, USA.

Office: Crowley Hall 201G
Ph: +1 (574) 631 3511
Email: a.lindsay@nd.edu

Preprints.

  • Sean D. Lawley, Alan E. Lindsay, Christopher E. Miles
    Receptor organization determines the limits of single-cell source location detection.
    Submitted PDF

  • Frederic Paquin-Lefebvre, Bin Xu, Kelsey L. DiPietro, Alan E. Lindsay, Alexandra Jilkine
    Pattern formation in a coupled membrane-bulk reaction-diffusion model for intracellular polarization and oscillations.
    Submitted PDF

Articles.

  • Paul Rumbach, Alan E. Lindsay, David B. Go
    Turing patterns on a plasma-liquid interface
    Plasma Sources Sci. Technol. (2019) 28 105014 PDF

  • R. A. Fernandes, K. A Ganzinger, J. C. Tzou, P. Jonsson, S. F. Lee, M. Palayret, V. T. Chang, M. Da Cunha Santos, C. Macleod, A.E. Lindsay, O. Dushek, A. Tilevik, S. J. Davis, D. Klenerman.
    A cell-topography based mechanism for ligand discrimination by the T-cell receptor.
    PNAS, (2019) 116 (28) 14002-14010 Link

  • K.L. DiPietro, A.E. Lindsay
    Adaptive solution to two dimensional partial differential equations in curved domains using the Monge-Ampere simulation equation.
    SIAM Journal on Scientific Computing, (2019) 44(2), pp. 1331--1356. PDF

  • K.L. DiPietro, R. D. Haynes, A.E. Lindsay, W. Huang, Y. Yu.
    Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems.
    Journal of Computational Physics (2018), 375, pp. 763--782. PDF

  • A.J. Bernoff, A.E. Lindsay, D.D. Schmidt.
    Boundary homogenization and capture time distributions of semi-permeable membranes with periodic patterns of reactive sites.
    Multiscale Modeling and Simulation (2018) 16(3), pp. 1411--1447. PDF

  • A.E. Lindsay, B. Quaife, L. Wendelberger.
    A boundary element method for computing the vibrational modes of elastic plates with localized punctures.
    Advances in Computational Mathematics (2018), 44(4), pp. 1249--1273 PDF

  • A.E. Lindsay, A.J. Bernoff.
    Numerical approximation of diffusive capture rates by planar and spherical surfaces with absorbing pores.
    SIAM Journal on Applied Math. (2018), 78(1), pp. 266--290. PDF

  • K.L. DiPietro, A.E. Lindsay
    Monge-Ampere simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems.
    Journal of Computational Physics, 349, (2017), pp. 328-350. PDF

  • A.E. Lindsay, J.C. Tzou, T. Kolokolnikov.
    Optimization of first passage times by multiple cooperating mobile traps.
    SIAM Multiscale Modeling and Simulation (2017), Vol. 15, No. 2, pp. 920-947. PDF

  • A.E. Lindsay, A.J. Bernoff, M.J. Ward.
    First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps.
    SIAM Multiscale Modeling and Simulation, (2017), Vol. 15, No. 1 : pp. 74--109. PDF

  • A.E. Lindsay, R.T. Spoonmore, J.C. Tzou.
    Hybrid asymptotic-numerical approach for estimating first passage time densities of the two-dimensional narrow capture problem.
    Physical Review E. (2016) 94, 042418 PDF

  • A.E. Lindsay.
    Regularized Model of Post-Touchdown Configurations in Electrostatic MEMS: Bistability Analysis.
    Journal of Engineering Math. (2016) Vol. 99, No. 1, pp. 65--77. PDF

  • A.E. Lindsay, W. Hao, A.J. Sommese
    Vibrations of thin plates with small clamped patches.
    Proceedings of the Royal Society A. (2015), Vol. 471, No. 2184. PDF

  • A.E. Lindsay, J. Lega, K.B. Glasner.
    Regularized Model of Post-Touchdown Configurations in Electrostatic MEMS: Interface Dynamics.
    IMA Journal of Applied Mathematics, (2015) 80(6), pp. 1635--1663. PDF

  • A.E. Lindsay, M.J. Ward, T. Kolokolnikov.
    The Transition to Point Constraint in a Mixed Biharmonic Eigenvalue Problem.
    SIAM Journal on Applied Mathematics, (2015) 75(3), pp. 1193--1224. PDF

  • A.E. Lindsay, J.C. Tzou, T. Kolokolnikov.
    Narrow escape problem with a mixed trap and the effect of orientation.
    Physical Review E (2015) Vol.91, No.3. PDF

  • T. Kolokolnikov, A.E. Lindsay.
    Recovering multiple small inclusions in a three dimensional domain using a single measurement.
    Inverse Problems in Science and Engineering, (2015) Vol. 23, No. 5, pp. 377--388.PDF

  • F. Tonolini, S. Chan, M. Agnew, A.E. Lindsay, J. Leach.
    Reconstructing high-dimensional two-photon entangled states via compressive sensing.
    Scientific Reports (2014), Vol. 4, No. 6542.PDF

  • A.E. Lindsay, J. Lega, K.B. Glasner.
    Regularized model of post-touchdown configurations in electrostatic MEMS: Equilibrium Analysis.
    Physica D: Nonlinear Phenomena, (2014) Vol. 280-281, pp. 95--108. PDF

  • A.E. Lindsay.
    An asymptotic study of blow up multiplicity in fourth order parabolic partial differential equations.

    DCDS-B, (2014), 19(1) pp. 189--215. PDF

  • A.E. Lindsay, J. Lega, F.J. Sayas.
    The quenching set of a MEMS capacitor in two-dimensional geometries.
    Journal of Nonlinear Science, (2013), 23(5), pp. 807--834.PDF

  • A.E. Lindsay, K.B. Glasner.
    The stability and evolution of curved domains arising from one dimensional localized patterns.
    SIAM Journal on Applied Dynamical Systems, (2013), 12(2), pp. 650--673.PDF

  • N.D. Brubaker, A.E. Lindsay.
    The onset of multi-valued solutions of a prescribed mean curvature equation with singular nonlinearity.
    European Journal of Applied Mathematics, (2013), 25(5), pp. 631--656.PDF

  • A.E. Lindsay, J. Lega.
    Quenching solutions of a fourth order PDE with a singular nonlinearity modelling a MEMS capacitor.
    SIAM Journal on Applied Mathematics, (2012), 72(3), pp. 935--958.PDF

  • A.E. Lindsay, D.R. Brecher.
    Simulation of the CEV process and the local martingale property.
    Mathematics and Computers in Simulation, (2012), 82(5), pp. 868--878.PDF

  • M.C. Kropinski, A.E. Lindsay, M.J. Ward.
    Asymptotic Analysis of Localized Solutions to Some Linear and Nonlinear Biharmonic Eigenvalue Problems.
    Studies in Applied Mathematics, (2011), 126(4), pp. 347--408.PDF

  • A.E. Lindsay , M.J. Ward.
    Asymptotics of some nonlinear eigenvalue problems modelling a MEMS Capacitor. Part II: multiple solutions and singular asymptotics.
    European Journal of Applied Mathematics, (2011), 22(2), pp. 83--123.PDF

  • A.E. Lindsay, M.J. Ward.
    An Asymptotic Analysis of the Persistence Threshold for the Diffusive Logistic Model in Spatial Environments with Localized Patches.
    DCDS-B, (2010), 14(3), pp. 1139--1179.PDF

  • A.E. Lindsay, M.J. Ward.
    Asymptotics of some nonlinear eigenvalue problems for a MEMS capacitor: Part I: Fold point asymptotics.
    Methods and Applications of Analysis, (2008), 15(3), pp. 297--326.PDF

  • A.E. Lindsay, K.A. Lindsay and J.R. Rosenberg.
    New concepts in compartmental modelling.
    Computing and Visualization in Science, (2007) 10(2), pp. 79--98.

  • A.E. Lindsay, K.A. Lindsay and J.R. Rosenberg.
    Increased computational accuracy in multi-compartmental cable models by a novel approach for precise point process localization.
    Journal of Computational Neuroscience, (2005), 19, pp. 21--37.