Boundary element methods for potential problems with nonlinear boundary conditions. - Mahadevan Ganesh; Olaf Steinbach (Math. Comput., 2001)

Discrete petrov-galerkin scheme for boundary value differential and integral problems: Theory and applications. - Mahadevan Ganesh; Rolf Dieter Grigorieff; Kassem Mustapha 001 (Math. Comput. Model., 2004)

A spectrally accurate algorithm for electromagnetic scattering in three dimensions. - Mahadevan Ganesh; Stuart C. Hawkins (Numer. Algorithms, 2006)

A fully discrete H 1-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations. - Mahadevan Ganesh; Kassem Mustapha 001 (Numer. Algorithms, 2006)

Matrix-free Interpolation on the Sphere. - Mahadevan Ganesh; Hrushikesh N. Mhaskar (SIAM J. Numer. Anal., 2006)

A Hybrid High-Order Algorithm for Radar Cross Section Computations. - Mahadevan Ganesh; Stuart C. Hawkins (SIAM J. Sci. Comput., 2007)

A high-order tangential basis algorithm for electromagnetic scattering by curved surfaces. - Mahadevan Ganesh; Stuart C. Hawkins (J. Comput. Phys., 2008)

A high-order algorithm for multiple electromagnetic scattering in three dimensions. - Mahadevan Ganesh; Stuart C. Hawkins (Numer. Algorithms, 2009)

Three dimensional electromagnetic scattering T-matrix computations. - Mahadevan Ganesh; Stuart C. Hawkins (J. Comput. Appl. Math., 2010)

A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions. - Mahadevan Ganesh; Stuart C. Hawkins (J. Comput. Phys., 2011)

A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres. - Mahadevan Ganesh; Quoc Thong Le Gia; Ian H. Sloan (Math. Comput., 2011)

A reduced basis method for electromagnetic scattering by multiple particles in three dimensions. - Mahadevan Ganesh; Jan S. Hesthaven; Benjamin Stamm (J. Comput. Phys., 2012)

Interpolation and cubature approximations and analysis for a class of wideband integrals on the sphere. - Víctor Domínguez; Mahadevan Ganesh (Adv. Comput. Math., 2013)

An Efficient HPC Framework for Parallel Long-Time and Large-Scale Simulation of a Class of Anomalous Single-Phase Models. - Ahmad Alyoubi; Mahadevan Ganesh (HPCC/CSS/ICESS, 2015)

A High Performance Computing and Sensitivity Analysis Algorithm for Stochastic Many-Particle Wave Scattering. - Mahadevan Ganesh; Stuart C. Hawkins (SIAM J. Sci. Comput., 2015)

Sobolev estimates for constructive uniform-grid FFT interpolatory approximations of spherical functions. - Víctor Domínguez; Mahadevan Ganesh (Adv. Comput. Math., 2016)

Parallel mixed FEM simulation of a class of single-phase models with non-local operators. - Ahmad Alyoubi; Mahadevan Ganesh (J. Comput. Appl. Math., 2016)

An offline/online algorithm for a class of stochastic multiple obstacle scattering configurations in the half-plane. - Mahadevan Ganesh; Stuart C. Hawkins (J. Comput. Appl. Math., 2016)

High-order FEM-BEM computer models for wave propagation in unbounded and heterogeneous media: Application to time-harmonic acoustic horn problem. - Mahadevan Ganesh; Charles Morgenstern (J. Comput. Appl. Math., 2016)

Computing spatial correlation of ground motion intensities for ShakeMap. - Sarah A. Verros; David Jay Wald; C. Bruce Worden; Mike Hearne; Mahadevan Ganesh (Comput. Geosci., 2017)

An efficient multigrid algorithm for heterogeneous acoustic media sign-indefinite high-order FEM models. - Mahadevan Ganesh; Charles Morgenstern (Numer. Linear Algebra Appl., 2017)

A Sign-Definite Preconditioned High-Order FEM, Part I: Formulation and Simulation for Bounded Homogeneous Media Wave Propagation. - Mahadevan Ganesh; Charles Morgenstern (SIAM J. Sci. Comput., 2017)

Algorithm 975: TMATROM - A T-Matrix Reduced Order Model Software. - Mahadevan Ganesh; Stuart C. Hawkins (ACM Trans. Math. Softw., 2017)

High-order FEM domain decomposition models for high-frequency wave propagation in heterogeneous media. - Mahadevan Ganesh; Charles Morgenstern (Comput. Math. Appl., 2018)

A Spectrally Accurate Algorithm and Analysis for a Ginzburg-Landau Model on Superconducting Surfaces. - Mahadevan Ganesh; Ty Thompson (Multiscale Model. Simul., 2018)

A fast high order algorithm for multiple scattering from large sound-hard three dimensional configurations. - Mahadevan Ganesh; Stuart C. Hawkins (J. Comput. Appl. Math., 2019)

An efficient algorithm for a class of stochastic forward and inverse Maxwell models in R3. - Mahadevan Ganesh; Stuart C. Hawkins; Darko Volkov (J. Comput. Phys., 2019)

An efficient epistemic uncertainty quantification algorithm for a class of stochastic models: A post-processing and domain decomposition framework. - Mahadevan Ganesh; Stuart C. Hawkins; Alexandre M. Tartakovsky; Ramakrishna Tipireddy (CoRR, 2020)

An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: Formulation, analysis, algorithm, and simulation. - Víctor Domínguez; Mahadevan Ganesh; Francisco-Javier Sayas (J. Comput. Phys., 2020)

A coercive heterogeneous media Helmholtz model: formulation, wavenumber-explicit analysis, and preconditioned high-order FEM. - Mahadevan Ganesh; Charles Morgenstern (Numer. Algorithms, 2020)

Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media. - Mahadevan Ganesh; Frances Y. Kuo; Ian H. Sloan (SIAM/ASA J. Uncertain. Quantification, 2021)

Approximation of radiating waves in the near-field: Error estimates and application to a class of inverse problems. - J. Barkhan; Mahadevan Ganesh; Stuart C. Hawkins (J. Comput. Appl. Math., 2022)

An efficient multi-level high-order algorithm for simulation of a class of Allen-Cahn stochastic systems. - Mahadevan Ganesh; B. Reyes (J. Comput. Appl. Math., 2022)

A high-order algorithm for time-domain scattering in three dimensions. - Mahadevan Ganesh; Frédérique Le Louër (Adv. Comput. Math., 2023)

An all-frequency stable surface integral equation algorithm for electromagnetism in 3-D unbounded penetrable media: Continuous and fully-discrete model analysis. - Mahadevan Ganesh; Stuart C. Hawkins; Darko Volkov (CoRR, 2024)

Corrigendum: Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media. - Mahadevan Ganesh; Frances Y. Kuo; Ian H. Sloan (SIAM/ASA J. Uncertain. Quantification, 2024)

An all-frequency stable integral system for Maxwell's equations in 3-D penetrable media: continuous and discrete model analysis. - Mahadevan Ganesh; Stuart C. Hawkins; Darko Volkov (Adv. Comput. Math., 2025)

Neural network-motivated regularity analysis of inverse problems and application to inverse scattering. - Mahadevan Ganesh; Stuart C. Hawkins; Darko Volkov (CoRR, 2025)