Ganesh, Mahadevan

Professor

Office : Room 222, Chauvenet Hall

Phone : 303-273-3927

Fax : 303-273-3875

Mail     :   Department of Mathematical and Computer Sciences
                  Colorado School of Mines
                   Golden, Colorado 80401-1887
Email   : mganesh at mines dot edu

Research Interests (Via Visualization)

Fast, high-order algorithms for acoustic and electromagnetic scattering in 3-D.

Efficient computational algorithms for inverse scattering in 3-D.

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

Spectral methods for the NavierStokes equation on the rotating earth.;

Constructive approximations on spherical surfaces.

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

Fully discrete spectral boundary integral and boundary element methods.

Boundary element preconditioners for 3-D slender domain problems.

Parallel evolutionary computations and analysis.

Radial basis functions based numerical schemes for PDEs.

Teaching

      BELS 433/ MACS433 Mathematical Biology.
      MACS 332 Linear Algebra.
    MACS 407 Introduction to Scientific Computing.
     MACS 550 Numerical Methods for Partial Differential Equations.

Some Recent Journal Publications (2004-2008)

Fully discrete spectral methods for boundary integral equations on slender spheroids.
J. Comp. Appl. Math., 164-165 (2004), 307-322.

A Petrov Galerkin method with quadrature scheme for elliptic boundary value problems.
(With B. Bialecki and K. Mustapha.) IMA J. Numer. Anal. 24 (2004), 157-177.

A high-order algorithm for obstacle scattering in three dimensions.
(With I. Graham.) J. Comp. Phys., 198 (2004), 211-242.

A diffusion-modfified quadrature FEM for nonlinear reaction-diffusion equations.
(With K. Mustapha.) Aust. & NZ Indus. Appl. Math. (ANZIAM) J., 45 (2004), 486-503.

A Crank-Nicolson and ADI Galerkin method with quadrature for hyperbolic problems.
(With K. Mustapha.) Numer. Meth. PDEs, 21 (2005), 57-79.

     Discrete Petrov-Galerkin scheme for boundary value differential and integral problems:
        theory and applications, (With R. Grigorieff and K. Mustapha.) Math. Comp. Model., 40 (2005), 1323-1334.

     A Crank-Nicolson Petrov-Galerkin method with quadrature for semi-linar parabolic problems.
        (With B. Bialecki and K. Mustapha.) Numer. Meth. PDEs., 21 (2005), 918-937.

     Matrix-free interpolation on the sphere.
        (With H. N. Mhaskar .) SIAM J. Numer. Anal., 44 (2006), 1314-1331.

     A Petrov-Galerkin method with quadrature for semi-linear second-order hyperbolic problems.
        (With B. Bialecki and K. Mustapha.) Numer. Meth. PDEs., 22 (2006), 1052-1069.

     Improved high-order algorithms for dielectric Mie scattering.
        (With S. C. Hawkins .) WSEAS Trans. Math., 5 (2006), 663-670.

     Quadrature-free quasi-interpolation on the sphere.
        (With H. N. Mhaskar .) Elec. Trans. Numer. Anal., 25 (2006), 101-114.

     A Spectrally accurate algorithm for electromagnetic scattering in three Dimensions.
        (With S. C. Hawkins .) Numer. Algorithms, 43 (2006), 25-60.

     A fully discrete H^1-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations.
        (With K. Mustapha.) Numer. Algorithms, 43 (2006), 355-383.

     An efficient surface integral method for the time-harmonic Maxwell equations.
        (With S. C. Hawkins .) Aust. & NZ Indus. Appl. Math. (ANZIAM) J., 48 (2007),17-33.

     Efficient evaluation of highly oscillatory acoustic scattering surface integrals.
        (With S. Langdon and I. H. Sloan .) J. Comp. Appl. Math., 204 (2007),363-374.

     Sparse preconditioners for dense complex linear systems arising in some radar cross section computations.
        (With S. C. Hawkins .) Aust. & NZ Indus. Appl. Math. (ANZIAM) J., 48 (2007),233-248.

     A hybrid high-order algorithm for radar cross section computations.
        (With S. C. Hawkins .) SIAM J. Sci. Comp. , 29 (2007), 1217-1243.

     Sparse approximate inverse preconditioners for electrromagnetic surface scattering simulations.
        (With S. C. Hawkins .) Aust. & NZ Indus. Appl. Math. (ANZIAM) J., 49 (2007),155-169.

     A high-order tangential basis algorithm for electromagnetic scattering by curved surfaces.
        (With S. C. Hawkins .) J. Comp. Phys. , 227 (2008), 4543-4562.