Nilima Nigam
Professor of Mathematics

SC K10509
Tel:778-782-4258

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Refereed

	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 ]
	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

	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

	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

	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

	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 ]