Error Analysis of a Finite Element-Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System. - George C. Hsiao; Peter Monk 001; Nilima Nigam (SIAM J. Numer. Anal., 2002)

Error analysis of an enhanced DtN-FE method for exterior scattering problems. - David P. Nicholls; Nilima Nigam (Numerische Mathematik, 2006)

The Nonlinear Critical Layer for Kelvin Modes on a Vortex with a Continuous Velocity Profile. - S. A. Maslowe; Nilima Nigam (SIAM J. Appl. Math., 2008)

Exact Non-Reflecting Boundary Conditions on Perturbed Domains and hp-Finite Elements. - Tommy L. Binford; David P. Nicholls; Nilima Nigam; Tim Warburton (J. Sci. Comput., 2009)

The Cellular Dynamics of Bone Remodeling: A Mathematical Model. - Marc D. Ryser; Svetlana V. Komarova; Nilima Nigam (SIAM J. Appl. Math., 2010)

Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis. - George C. Hsiao; Nilima Nigam; Joseph E. Pasciak; Liwei Xu (J. Comput. Appl. Math., 2011)

An integral representation of the Green function for a linear array of acoustic point sources. - Harun Kurkcu; Nilima Nigam; Fernando Reitich (J. Comput. Phys., 2011)

On the well-posedness of the stochastic Allen-Cahn equation in two dimensions. - Marc D. Ryser; Nilima Nigam; Paul F. Tupper (J. Comput. Phys., 2012)

Fast integral equation methods for the Laplace-Beltrami equation on the sphere. - Mary Catherine A. Kropinski; Nilima Nigam (Adv. Comput. Math., 2014)

A boundary integral algorithm for the Laplace Dirichlet-Neumann mixed eigenvalue problem. - Eldar Akhmetgaliyev; Oscar P. Bruno; Nilima Nigam (J. Comput. Phys., 2015)

Integral equation methods for the Yukawa-Beltrami equation on the sphere. - Mary Catherine A. Kropinski; Nilima Nigam; Bryan D. Quaife (Adv. Comput. Math., 2016)

High-order Discontinuous Galerkin Methods for a class of transport equations with structured populations. - Joe Coyle; Nilima Nigam (Comput. Math. Appl., 2016)

On regularizations of the Dirac delta distribution. - Bamdad Hosseini; Nilima Nigam; John M. Stockie (J. Comput. Phys., 2016)

A combined finite element and Bayesian optimization framework for shape optimization in spectral geometry. - Sebastián Domínguez; Nilima Nigam; Bobak Shahriari (Comput. Math. Appl., 2017)

Well-Posed Bayesian Inverse Problems: Priors with Exponential Tails. - Bamdad Hosseini; Nilima Nigam (SIAM/ASA J. Uncertain. Quantification, 2017)

A modelling approach for exploring muscle dynamics during cyclic contractions. - Stephanie A. Ross; Nilima Nigam; James M. Wakeling (PLoS Comput. Biol., 2018)

Revisiting the Jones Eigenproblem in Fluid-Structure Interaction. - Sebastián Domínguez; Nilima Nigam; Jiguang Sun (SIAM J. Appl. Math., 2019)

The energy of muscle contraction. I. Tissue force and deformation during isometric contractions. - James M. Wakeling; Stephanie A. Ross; David S. Ryan; Bart Bolsterlee; Ryan N. Konno; Sebastián Domínguez; Nilima Nigam (CoRR, 2020)

A Proof via Finite Elements for Schiffer's Conjecture on a Regular Pentagon. - Nilima Nigam; Bartlomiej Siudeja; Benjamin Young (Found. Comput. Math., 2020)

Optimization of Steklov-Neumann eigenvalues. - Habib Ammari; Kthim Imeri; Nilima Nigam (J. Comput. Phys., 2020)

Wave Enhancement Through Optimization of Boundary Conditions. - Habib Ammari; Oscar P. Bruno; Kthim Imeri; Nilima Nigam (SIAM J. Sci. Comput., 2020)

Korn's Inequality and Eigenproblems for the Lamé Operator. - Sebastián A. Domínguez-Rivera; Nilima Nigam; Jeffrey S. Ovall (Comput. Methods Appl. Math., 2022)

A Steklov-spectral approach for solutions of Dirichlet and Robin boundary value problems. - Kthim Imeri; Nilima Nigam (CoRR, 2022)

A simple extrapolation method for clustered eigenvalues. - Nilima Nigam; Sara N. Pollock (Numer. Algorithms, 2022)

Conforming Finite Element Function Spaces in Four Dimensions, Part 1: Foundational Principles and the Tesseract. - Nilima Nigam; David M. Williams (CoRR, 2023)

Conforming finite element function spaces in four dimensions, part I: Foundational principles and the tesseract. - Nilima Nigam; David M. Williams (Comput. Math. Appl., 2024)

Conforming finite element function spaces in four dimensions, part II: The pentatope and tetrahedral prism. - David M. Williams; Nilima Nigam (Comput. Math. Appl., 2024)

A Three-Dimensional Model of Skeletal Muscle Tissues. - Javier A. Almonacid; Sebastián A. Domínguez-Rivera; Ryan N. Konno; Nilima Nigam; Stephanie A. Ross; Cassidy Tam; James M. Wakeling (SIAM J. Appl. Math., 2024)

Characterization of singular flows of zeroth-order pseudo-differential operators via elliptic eigenfunctions: A numerical study. - Javier A. Almonacid; Nilima Nigam (J. Comput. Appl. Math., 2024)

Influence of Scaling Mass and Height on a Musculoskeletal Model of Joint Moments During Walking: A Simulation Study. - Ameur Latreche; Torstein E. Dæhlin; Stephanie A. Ross; Nicolai Konow; Andrew A. Biewener; Nilima Nigam; James M. Wakeling (ICMRE, 2025)