Ganesh, Mahadevan                 

Professor (Department of Applied Mathematics & Statistics)

Affiliate Professor (Department of Electrical Engineering & Computer Sciences)

College of Engineering & Computational Sciences

Colorado School of Mines,  Golden,  Colorado 80401-1887

Office   : Room 222, Chauvenet Hall

Phone   : 303-273-3927

Fax       : 303-273-3875                                                             

Research Interests   (Via Visualization)

    Multiscale and model reduction methods

    Quantification of uncertainties in parallel scientific computing models

    Computational electromagnetics & High-performance computing

    High-order, high-performance computing algorithms for wave propagation and absorption simulations in 3-D.

    Forward and inverse  acoustic and electromagnetic scattering in 3-D.

    Efficient algorithms for the Stokes and Navier-Stokes equations on rotating surfaces.

    Quadrature finite element methods for elliptic, parabolic and hyperbolic problems.

    Free surface evolutionary systems in  nonlinear water waves and tumor growth.

    Constructive approximations on spherical surfaces.

     Fully discrete spectral boundary integral and boundary element methods.

     Parallel evolutionary computations  and analysis.

    Radial basis functions based numerical schemes for PDEs.

Funding               

    Current: NSF Grant (July 2012-June 2015; Single-PI) --- Algorithms, analyses, and model reductions for a class of parameterized systems

        PI/CO-PI of several grants funded by the ARC, NSF and other agencies grants for 15 years (since 2000)

        ARC -- Australian Research Council (Australian equivalent of the NSF, USA)

Teaching              
        MATH 440/540 Parallel Scientific Computing.
        BELS/MATH 433 Mathematical Biology.
         MATH 550 Numerical Methods for Partial Differential Equations.
        MATH 332/342 Linear Algebra.
        MATH 307 Introduction to Scientific Computing.

Recent Journal Publications/submissions  (2011-2015) [Author/Co-author of over 80 research articles]     

     A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions .
        (With S. C. Hawkins .)  J. Comp. Phys. ,  230 (2011), 104-125.

     An efficient algorithm for simulating scattering by a large number of two dimensional particles.
        (With S. C. Hawkins .)  Aust. & NZ Indus. Appl. Math. (ANZIAM) J.,  52 (2011), C139-C155.

     A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres
        (With Q. T. Le Gia and I. H. Sloan .)  Math. Comp. ,  80 (2011), 1397-1430.

     A radial basis Galerkin method for spherical surface Stokes equations.
        (With Q.T. Le Gia .)  Aust. & NZ Indus. Appl. Math. (ANZIAM) J.,  52 (2011), C58-C71.

     Convergence analysis with parameter estimates for a reduced basis acoustics scattering T-matrix method
        (With S. C. Hawkins and R. Hiptmair .)  IMA J. Numer. Anal.,  32 (2012), 1348-1374.

     A reduced basis method for electromagnetic scatttering by multiple particles in three dimensions
        (With J. Hesthaven and B. Stamm .)  J. Comput. Phys.,  231 (2012), 7756-7779

     A stochastic pseudospectral and T-matrix algorithm for acoustic scattering by a class of multiple particle configurations
        (With S. C. Hawkins .)  J. Quant. Spect. Radiative Transfer, 123 (2013), 41-52

     Interpolation and cubature approximation and analysis for a class of wideband integrals on the sphere
        (With V. Dominguez .)  Advances in Comput. Math., 39, 547-584, 2013.

     An efficient algorithm for simulation of stochastic scattering cross-sections
        (With S. C. Hawkins .)  Aust. & NZ Indus. Appl. Math. (ANZIAM) J.,  54 (2013), C119-C136.

     An all-frequency weakly-singular surface integral equation for electromagnetism in dielectric media: Reformulation and well-posedness analysis
        (With S. C. Hawkins and D. Volkov .)  J. Math. Anal. & Appl.,  412 (2014), 277-300.

     Spectral properties of Schrodinger operators on superconducting surfaces
        (With T. Thompson .)  J. Spectral Theory, 4 (2014), 569-612.

     An efficient O(N) algorithm for computing O(N^2) acoustic wave interactions in large N-obstacle three dimensional configurations
        (With S. C. Hawkins .)  BIT Numer. Math., 55(2015), 23 pages. (Appeared onine in May 2014, DOI: 10.1007/s10543-014-0491-3)

     Schrodinger eigenbasis on a class of superconducting surfaces : Ansatz, analysis, FEM approximations and computations
        (With T. Thompson .)  Appl. Numer. Math., 89 (2015), 45-75. (Published online in Dec. 2014, DOI: 10.1016/j.apnum.2014.11.005)

     Sobolev estimates for constructive uniform-grid FFT interpolatory approximations of spherical functions
        (With V. Dominguez .)  Submitted.

     An efficient HPC and sensitivity analysis algorithm for stochastic many-particle wave scattering
        (With S. C. Hawkins .)  Submitted.