Refereed

  N. Nigam and S. Pollock. Numer. Algorithms, 89(1):115--143, 2022. [ bib | Abstract ]
  Sebastián A. Domínguez-Rivera, Nilima Nigam, and Jeffrey S. Ovall. Korn's Inequality and Eigenproblems for the Lamé Operator. Comput. Methods Appl. Math., 22(4):821--837, 2022. [ bib | DOI | http ]
  Ryan N. Konno, Nilima Nigam, James M. Wakeling, and Stephanie A. Ross. The contributions of extracellular matrix and sarcomere properties to passive muscle stiffness in cerebral palsy. Frontiers in Physiology, 12, 2022. [ bib | DOI | http | Abstract ]
  Stephanie A. Ross, Sebastián Domínguez, Nilima Nigam, and James M. Wakeling. The energy of muscle contraction. iii. kinetic energy during cyclic contractions. Frontiers in Physiology, 12:306, 2021. [ bib | DOI | http | Abstract ]
  Ryan N. Konno, Nilima Nigam, and James M. Wakeling. Modelling extracellular matrix and cellular contributions to whole muscle mechanics. PLOS ONE, 16(4):1--20, 04 2021. [ bib | DOI | http | Abstract ]
  H. Ammari, O. Bruno, K. Imeri, and N. Nigam. Wave enhancement through optimization of boundary conditions. SIAM J. Scientific Computing, 42(1), 2020. [ bib | pdf | Abstract ]
  Habib Ammari, Kthim Imeri, and Nilima Nigam. Optimization of Steklov-Neumann eigenvalues. J. Comput. Phys., 406:109211, 15, 2020. [ bib | DOI | http ]
  N. Nigam, B. Siudeja, and B. Young. A proof via finite elements for Schiffer's conjecture on a regular pentagon. J. of Foundations of Computational Mathematics, 2020. [ bib | DOI | Abstract ]
  James M. Wakeling, Stephanie A. Ross, David S. Ryan, Bart Bolsterlee, Ryan Konno, Sebastián Domínguez, and Nilima Nigam. The energy of muscle contraction. i. Tissue force and deformation during fixed-end contractions. Frontiers in Physiology, 11:813, 2020. [ bib | DOI | pdf | http | Abstract ]
  David S. Ryan, Sebastián Domínguez, Stephanie A. Ross, Nilima Nigam, and James M. Wakeling. The energy of muscle contraction. ii. transverse compression and work. Frontiers in Physiology, 11:1392, 2020. [ bib | DOI | http | Abstract ]
  S. Dominguez, N. Nigam, and J. Sun. Revisiting the jones eigenproblem in fluid-structure interaction. SIAM Journal of Applied Mathematics, 2019. [ bib ]
  Stephanie A. Ross, Nilima Nigam, and James Wakeling. A modelling approach for exploring muscle dynamics during cyclic contractions. PLoS Computational Biology, 2018. [ bib | Abstract ]
  Stephanie Ross, David Ryan, Sebastian Dominguez, Nilima Nigam, and James Wakeling. Size, history-dependent, activation and dimensionality effects on the work and power produced during cyclic muscle contractions. Integrative and Comparative Biology, 2018. [ bib | Abstract ]
  Bamdad Hosseini and Nilima Nigam. Well-posed Bayesian Inverse Problems: Priors with exponential tails. SIAM/ASA J. Uncertain. Quantif., 5(1):436--465, 2017. [ bib | pdf | Abstract ]
  Sebastian Dominguez, Nilima Nigam, and Bobak Shahriari. A combined finite element and bayesian optimization framework for shape optimization in spectral geometry. Computers and Mathematics with Applications, 2017. [ bib | DOI ]
  Nilima Nigam, Mary-Catherine Kropinski, and Bryan Quaife. Integral equation methods for the Yukawa-Beltrami equation on the sphere. Adv. Comput. Math., 42(2):469--488, 2016. [ bib | DOI | pdf | Abstract ]
  Joe Coyle and Nilima Nigam. An hp-dg method for a class of transport equations with structured populations. Comput. Math. Appl., 72(3):768--784, 2016. [ bib | DOI | Abstract ]
  Bamdad Hosseini, Nilima Nigam, and John Stockie. On regularizations of the δ distribution. J. Comput. Phys., 305:423--447, 2016. [ bib | DOI | pdf | Abstract ]
  Eldar Akhmetgaliyev, Oscar Bruno, and Nilima Nigam. A boundary integral algorithm for the Laplace Dirichlet-Neumann mixed eigenvalue problem. J. Comput. Phys., 298:1--28, 2015. [ bib | DOI | pdf | Abstract ]
  ii Rahemi, Nilima Nigam, and James Wakeling. The effect of intramuscular fat on skeletal muscle mechanics: implications for the eldery and obese. Journal of the Royal Society Interface, 12(109), 2015. [ bib | DOI | Abstract ]
  M. Dewapriya, R. Rajapakse, and N. Nigam. Influence of hydrogen functionalization on the fracture strength of graphene and the interfacial properties of graphene-polymer nanocomposite. Carbon, 93:830--842, 2015. [ bib | DOI | Abstract ]
  Hadi Rahemi, Nilima Nigam, and James M Wakeling. Regionalizing muscle activity causes changes to the magnitude and direction of the force from whole muscles - a modelling study. Frontiers in Physiology, 5(298), 2014. [ bib | DOI | http | Abstract ]
  Mary-Catherine Kropinski and Nilima Nigam. Fast integral equation methods for the Laplace-Beltrami equation on the sphere. Adv. Comput. Math., 40(2):577--596, 2014. [ bib | DOI | pdf | Abstract ]
  S. Gemmrich, J. Gopalakrishnan, and N. Nigam. Convergence analysis of a multigrid algorithm for the acoustic single layer equation. Appl. Numer. Math., 62(6):767--786, 2012. [ bib | DOI | pdf | Abstract ]
  Marc D. Ryser, Nilima Nigam, and Paul F. Tupper. On the well-posedness of the stochastic Allen-Cahn equation in two dimensions. J. Comput. Phys., 231(6):2537--2550, 2012. [ bib | DOI | pdf | Abstract ]
  Nilima Nigam and Joel Phillips. High-order conforming finite elements on pyramids. IMA J. Numer. Anal., 32(2):448--483, 2012. [ bib | DOI | pdf | Abstract ]
  Nilima Nigam and Joel Phillips. Numerical integration for high order pyramidal finite elements. ESAIM Math. Model. Numer. Anal., 46(2):239--263, 2012. [ bib | DOI | pdf | Abstract ]
  George C. Hsiao, Nilima Nigam, Joseph E. Pasciak, and Liwei Xu. Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis. J. Comput. Appl. Math., 235(17):4949--4965, 2011. [ bib | DOI | pdf | Abstract ]
  Harun Kurkcu, Nilima Nigam, and Fernando Reitich. An integral representation of the Green function for a linear array of acoustic point sources. J. Comput. Phys., 230(8):2838--2856, 2011. [ bib | DOI | pdf ]
  Marc D. Ryser, Svetlana V. Komarova, and Nilima Nigam. The cellular dynamics of bone remodeling: a mathematical model. SIAM J. Appl. Math., 70(6):1899--1921, 2010. [ bib | DOI | pdf | Abstract ]
  Tommy L. Binford, Jr., David P. Nicholls, Nilima Nigam, and T. Warburton. Exact non-reflecting boundary conditions on perturbed domains and hp-finite elements. J. Sci. Comput., 39(2):265--292, 2009. [ bib | DOI | pdf ]
  Marc D. Ryser, Nilima Nigam, and Svetlana V. Komarova. Mathematical modeling of spatio-temporal dynamics of a single bone multicellular unit. J.Bone Miner. Res., 24(5):860--970, 2009. [ bib | DOI ]
  S. Gemmrich and N. Nigam. A boundary integral strategy for the Laplace-Beltrami-Dirichlet problem on the sphere S2. In Frontiers of applied and computational mathematics, pages 222--230. World Sci. Publ., Hackensack, NJ, 2008. [ bib | DOI | pdf ]
  S. Gemmrich, N. Nigam, and O. Steinbach. Boundary integral equations for the Laplace-Beltrami operator. In Mathematics and computation, a contemporary view, volume 3 of Abel Symp., pages 21--37. Springer, Berlin, 2008. [ bib | DOI | pdf | Abstract ]
  Sherwin A. Maslowe and Nilima Nigam. Vortex Kelvin modes with nonlinear critical layers. In IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, volume 6 of IUTAM Bookser., pages 163--175. Springer, Dordrecht, 2008. [ bib | DOI | pdf ]
  T. Akchurin, T. Aissiou, N. Kemeny, E. Prosk, N. Nigam, and S. Komarova. Complex dynamics of osteoclast formation and death in long-term cultures. PLoS One, 3(5), 2008. [ bib | DOI ]
  S. A. Maslowe and N. Nigam. The nonlinear critical layer for Kelvin modes on a vortex with a continuous velocity profile. SIAM J. Appl. Math., 68(3):825--843, 2007. [ bib | DOI | pdf ]
  Leonid Chindelevitch, David P. Nicholls, and Nilima Nigam. Error analysis and preconditioning for an enhanced DtN-FE algorithm for exterior scattering problems. J. Comput. Appl. Math., 204(2):493--504, 2007. [ bib | DOI | pdf ]
  George C. Hsiao, Nilima Nigam, and Anna-Margarete Sändig. Innovative solution of a 2D elastic transmission problem. Appl. Anal., 86(4):459--482, 2007. [ bib | DOI | pdf ]
  David P. Nicholls and Nilima Nigam. Error analysis of an enhanced DtN-FE method for exterior scattering problems. Numer. Math., 105(2):267--298, 2006. [ bib | DOI | pdf ]
  Dmitry Jakobson, Michael Levitin, Nikolai Nadirashvili, Nilima Nigam, and Iosif Polterovich. How large can the first eigenvalue be on a surface of genus two? Int. Math. Res. Not., (63):3967--3985, 2005. [ bib | DOI | pdf | Abstract ]
  Inti Zlobec, Russ Steele, Nilima Nigam, and C. Compton, Caroline. A predictive model of rectal tumor response to preoperative radiotherapy using classification and regression tree methods. Clin Cancer Res., 11(15), 2005. [ bib ]
  Debra Lewis, Nilima Nigam, and Peter J. Olver. Connections for general group actions. Commun. Contemp. Math., 7(3):341--374, 2005. [ bib | DOI | pdf ]
  Catalina Anghel, Gary Margrave, and Nilima Nigam. Locating anomalous seismic attenuation: a mathematical investigation. Can. Appl. Math. Q., 12(4):439--478, 2004. [ bib ]
  David P. Nicholls and Nilima Nigam. Exact non-reflecting boundary conditions on general domains. J. Comput. Phys., 194(1):278--303, 2004. [ bib | DOI | pdf ]
  G. C. Hsiao and N. Nigam. A transmission problem for fluid-structure interaction in the exterior of a thin domain. Adv. Differential Equations, 8(11):1281--1318, 2003. [ bib ]
  D. Lewis and N. Nigam. Geometric integration on spheres and some interesting applications. J. Comput. Appl. Math., 151(1):141--170, 2003. [ bib | DOI | pdf | Abstract ]
  G. C. Hsiao, P. B. Monk, and N. Nigam. Error analysis of a finite element-integral equation scheme for approximating the time-harmonic Maxwell system. SIAM J. Numer. Anal., 40(1):198--219, 2002. [ bib | DOI | pdf | Abstract ]
  George C. Hsiao and Nilima Nigam. A transmission problem in the exterior of thin domain. In Homage to Gaetano Fichera, volume 7 of Quad. Mat., pages 177--205. Dept. Math., Seconda Univ. Napoli, Caserta, 2000. [ bib ]
Refereed Conference

Refereed Conference

  H Rahemi, N Nigam, and JM Wakeling. Effects of muscle pennation on its kinematics and force development. In Integrative and Comparative Biolofy, volume 50, pages E285--E285. Oxford University Press, 2010. [ bib ]
  Sherwin Maslowe. Kelvin modes with nonlinear critical layers on a vortex with a continuous velocity profile. In APS Division of Fluid Dynamics Meeting Abstracts, volume 1, 2005. [ bib ]
  Nilima Nigam. A variational method in acoustics related to an impenetrable scatterer coated by a thin penetrable shell. In Mathematical and numerical aspects of wave propagation (Santiago de Compostela, 2000), pages 90--95. SIAM, Philadelphia, PA, 2000. [ bib ]
Book Chapter

Book Chapter

  Nilima Nigam and José Francisco Rodrigues. University and academic technical/vocational education. In Educational Interfaces between Mathematics and Industry, pages 173--183. Springer International Publishing, 2013. [ bib ]
  Solomon Garfunkel, Rolf Jeltsch, and Nilima Nigam. Communication and collaboration. In Educational Interfaces between Mathematics and Industry, pages 319--332. Springer International Publishing, 2013. [ bib ]
  Nilima Nigam. Mathematics in industry, mathematics in the classroom: analogy and metaphor. In Susan Oesterle, editor, Canadian Mathematics Education Study Group 2014. [ bib ]
Technical Reports

Technical Reports

  David Cottrell, Huaxiong Huang, and Nilima Nigam. Incorporating estimation error into optimal portfolio allocation. 2006. [ bib ]
  Rita Aggarwala, C Sean Bohun, Rachel Kuske, Gerry Labute, Wei Lu, Nilima Nigam, and Fabien M Youbissi. Product-driven data mining. Canadian Applied Mathematics Quarterly, 12(1):1--24, 2004. [ bib ]
  Martin Caberlin, Nilima Nigam, and Sanjive Qazi. Invariant manifolds in a model for the gaba receptor. 2003. [ bib ]
  Nilima Nigam. Modelling quality and warranty cost. 2003. [ bib ]
Other

Other

  Nilima Nigam. Approximation on pyramids. CMS Notes, 47(5):13--14, 2015. [ bib ]
  Nilima Nigam. The closing of IMA and MBI. Notices of the American Mathematical Society, 62(11), 2015. [ bib | DOI ]
  Gabriel N. Gatica, L. Pamela Cook, Kirk E. Jordan, Nilima Nigam, Olaf Steinbach, and Liwei Xu. Preface [Advances in boundary integral equations and related topics: on the occasion of George C. Hsiao's 75th birthday]. Appl. Numer. Math., 62(6):665--666, 2012. [ bib | DOI | pdf ]
  Nilima Nigam. Variational methods for a class of boundary value problems exterior to a thin domain. ProQuest LLC, Ann Arbor, MI, 1999. Thesis (Ph.D.)--University of Delaware. [ bib | pdf | Abstract ]