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H. Ammari, O. Bruno, K. Imeri, and N. Nigam.
Wave enhancement through optimization of boundary conditions.
SIAM J. Scientific Computing, 42(1), 2020.
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Habib Ammari, Kthim Imeri, and Nilima Nigam.
Optimization of Steklov-Neumann eigenvalues.
J. Comput. Phys., 406:109211, 15, 2020.
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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.
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James M. Wakeling, Stephanie A. Ross, David S. Ryan, Bart Bolsterlee, Ryan
Konno, Sebastián DomÃnguez, and Nilima Nigam.
The energy of muscle contraction. i. Tissue force and deformation
during fixed-end contractions.
Frontiers in Physiology, 11:813, 2020.
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S. Dominguez, N. Nigam, and J. Sun.
Revisiting the jones eigenproblem in fluid-structure interaction.
SIAM Journal of Applied Mathematics, 2019.
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Stephanie A. Ross, Nilima Nigam, and James Wakeling.
A modelling approach for exploring muscle dynamics during cyclic
contractions.
PLoS Computational Biology, 2018.
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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.
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Bamdad Hosseini and Nilima Nigam.
Well-posed Bayesian Inverse Problems: Priors with exponential
tails.
SIAM/ASA J. Uncertain. Quantif., 5(1):436--465, 2017.
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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.
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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.
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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.
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Bamdad Hosseini, Nilima Nigam, and John Stockie.
On regularizations of the δ distribution.
J. Comput. Phys., 305:423--447, 2016.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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Nilima Nigam and Joel Phillips.
High-order conforming finite elements on pyramids.
IMA J. Numer. Anal., 32(2):448--483, 2012.
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Nilima Nigam and Joel Phillips.
Numerical integration for high order pyramidal finite elements.
ESAIM Math. Model. Numer. Anal., 46(2):239--263, 2012.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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George C. Hsiao, Nilima Nigam, and Anna-Margarete Sändig.
Innovative solution of a 2D elastic transmission problem.
Appl. Anal., 86(4):459--482, 2007.
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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.
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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.
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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.
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Debra Lewis, Nilima Nigam, and Peter J. Olver.
Connections for general group actions.
Commun. Contemp. Math., 7(3):341--374, 2005.
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Catalina Anghel, Gary Margrave, and Nilima Nigam.
Locating anomalous seismic attenuation: a mathematical investigation.
Can. Appl. Math. Q., 12(4):439--478, 2004.
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David P. Nicholls and Nilima Nigam.
Exact non-reflecting boundary conditions on general domains.
J. Comput. Phys., 194(1):278--303, 2004.
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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.
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D. Lewis and N. Nigam.
Geometric integration on spheres and some interesting applications.
J. Comput. Appl. Math., 151(1):141--170, 2003.
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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.
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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.
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