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ORCIDNilima Nigam
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Journal Articles
- 2024
[j26]Nilima Nigam, David M. Williams:
Conforming finite element function spaces in four dimensions, part I: Foundational principles and the tesseract. Comput. Math. Appl. 166: 198-223 (2024)- [j25]David M. Williams, Nilima Nigam
:
Conforming finite element function spaces in four dimensions, part II: The pentatope and tetrahedral prism. Comput. Math. Appl. 167: 21-53 (2024) - [j24]Javier A. Almonacid, Nilima Nigam:
Characterization of singular flows of zeroth-order pseudo-differential operators via elliptic eigenfunctions: A numerical study. J. Comput. Appl. Math. 438: 115510 (2024) - [j23]Javier A. Almonacid, Sebastián A. Domínguez-Rivera, Ryan N. Konno, Nilima Nigam, Stephanie A. Ross, Cassidy Tam, James M. Wakeling:
A Three-Dimensional Model of Skeletal Muscle Tissues. SIAM J. Appl. Math. 84(3): S538-S566 (2024) - 2022
- [j22]Sebastián A. Domínguez-Rivera, Nilima Nigam, Jeffrey S. Ovall:
Korn's Inequality and Eigenproblems for the Lamé Operator. Comput. Methods Appl. Math. 22(4): 821-837 (2022) - [j21]Nilima Nigam, Sara N. Pollock:
A simple extrapolation method for clustered eigenvalues. Numer. Algorithms 89(1): 115-143 (2022) - 2020
- [j20]Nilima Nigam, Bartlomiej Siudeja, Benjamin Young:
A Proof via Finite Elements for Schiffer's Conjecture on a Regular Pentagon. Found. Comput. Math. 20(6): 1475-1504 (2020) - [j19]Habib Ammari, Kthim Imeri, Nilima Nigam:
Optimization of Steklov-Neumann eigenvalues. J. Comput. Phys. 406: 109211 (2020) - [j18]Habib Ammari, Oscar P. Bruno, Kthim Imeri, Nilima Nigam:
Wave Enhancement Through Optimization of Boundary Conditions. SIAM J. Sci. Comput. 42(1): B207-B224 (2020) - 2019
- [j17]Sebastián Domínguez, Nilima Nigam, Jiguang Sun:
Revisiting the Jones Eigenproblem in Fluid-Structure Interaction. SIAM J. Appl. Math. 79(6): 2385-2408 (2019) - 2018
- [j16]Stephanie A. Ross, Nilima Nigam, James M. Wakeling:
A modelling approach for exploring muscle dynamics during cyclic contractions. PLoS Comput. Biol. 14(4) (2018) - 2017
- [j15]Sebastián Domínguez, Nilima Nigam, Bobak Shahriari:
A combined finite element and Bayesian optimization framework for shape optimization in spectral geometry. Comput. Math. Appl. 74(11): 2874-2896 (2017) - [j14]Bamdad Hosseini, Nilima Nigam:
Well-Posed Bayesian Inverse Problems: Priors with Exponential Tails. SIAM/ASA J. Uncertain. Quantification 5(1): 436-465 (2017) - 2016
- [j13]Mary Catherine A. Kropinski, Nilima Nigam, Bryan D. Quaife:
Integral equation methods for the Yukawa-Beltrami equation on the sphere. Adv. Comput. Math. 42(2): 469-488 (2016) - [j12]Joe Coyle, Nilima Nigam:
High-order Discontinuous Galerkin Methods for a class of transport equations with structured populations. Comput. Math. Appl. 72(3): 768-784 (2016) - [j11]Bamdad Hosseini, Nilima Nigam, John M. Stockie:
On regularizations of the Dirac delta distribution. J. Comput. Phys. 305: 423-447 (2016) - 2015
- [j10]Eldar Akhmetgaliyev, Oscar P. Bruno, Nilima Nigam:
A boundary integral algorithm for the Laplace Dirichlet-Neumann mixed eigenvalue problem. J. Comput. Phys. 298: 1-28 (2015) - 2014
- [j9]Mary Catherine A. Kropinski, Nilima Nigam:
Fast integral equation methods for the Laplace-Beltrami equation on the sphere. Adv. Comput. Math. 40(2): 577-596 (2014) - 2012
- [j8]Marc D. Ryser, Nilima Nigam, Paul F. Tupper:
On the well-posedness of the stochastic Allen-Cahn equation in two dimensions. J. Comput. Phys. 231(6): 2537-2550 (2012) - 2011
- [j7]George C. Hsiao, Nilima Nigam, Joseph E. Pasciak, 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) - [j6]Harun Kurkcu, Nilima Nigam, 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) - 2010
- [j5]Marc D. Ryser, Svetlana V. Komarova, Nilima Nigam:
The Cellular Dynamics of Bone Remodeling: A Mathematical Model. SIAM J. Appl. Math. 70(6): 1899-1921 (2010) - 2009
- [j4]Tommy L. Binford, David P. Nicholls, Nilima Nigam, Tim Warburton:
Exact Non-Reflecting Boundary Conditions on Perturbed Domains and hp-Finite Elements. J. Sci. Comput. 39(2): 265-292 (2009) - 2008
- [j3]S. A. Maslowe, Nilima Nigam:
The Nonlinear Critical Layer for Kelvin Modes on a Vortex with a Continuous Velocity Profile. SIAM J. Appl. Math. 68(3): 825-843 (2008) - 2006
- [j2]David P. Nicholls, Nilima Nigam:
Error analysis of an enhanced DtN-FE method for exterior scattering problems. Numerische Mathematik 105(2): 267 (2006) - 2002
- [j1]George C. Hsiao, Peter Monk, Nilima 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)
Informal and Other Publications
- 2023
- [i8]Nilima Nigam, David M. Williams:
Conforming Finite Element Function Spaces in Four Dimensions, Part 1: Foundational Principles and the Tesseract. CoRR abs/2308.06243 (2023) - [i7]David M. Williams, Nilima Nigam:
Conforming Finite Element Function Spaces in Four Dimensions, Part II: The Pentatope and Tetrahedral Prism. CoRR abs/2308.06258 (2023) - 2022
- [i6]Javier A. Almonacid, Sebastián A. Domínguez-Rivera, Ryan N. Konno, Nilima Nigam, Stephanie A. Ross, Cassidy Tam, James M. Wakeling:
A three-dimensional model of skeletal muscle tissues. CoRR abs/2207.02421 (2022) - [i5]Kthim Imeri, Nilima Nigam:
A Steklov-spectral approach for solutions of Dirichlet and Robin boundary value problems. CoRR abs/2209.08405 (2022) - [i4]Javier A. Almonacid, Nilima Nigam:
Characterization of singular flows of zeroth-order pseudo-differential operators via elliptic eigenfunctions: a numerical study. CoRR abs/2210.13622 (2022) - 2020
- [i3]James M. Wakeling, Stephanie A. Ross, David S. Ryan, Bart Bolsterlee, Ryan N. Konno, Sebastián Domínguez, Nilima Nigam:
The energy of muscle contraction. I. Tissue force and deformation during isometric contractions. CoRR abs/2001.01139 (2020) - [i2]Nilima Nigam, Sara N. Pollock:
A simple extrapolation method for clustered eigenvalues. CoRR abs/2006.10164 (2020) - 2019
- [i1]Habib Ammari, Oscar P. Bruno, Kthim Imeri, Nilima Nigam:
Wave Enhancement through Optimization of Boundary Conditions. CoRR abs/1907.11170 (2019)
Coauthor Index
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