About Us

My name is Sanjay Velamparambil.

I founded the Fast Algorithms Consultants(*) in January 2009 to offer technical consulting in the design, implementation and optimization of fast and efficient numerical algorithms.

Expertise

  • Fast Multipole Method (FMM) and its multilevel variants for Laplace, Helmholtz, and Maxwell equations
  • Low rank approximation/compression algorithms for dense matrices
  • Fast integral equation methods in electromagnetic theory; esp. method of moments accelerated using FMM or recursive QR/SVD approaches
  • Pre-corrected fast Fourier transform (FFT) methods for integral equations with convolution kernels
  • Krylov subspace methods for the iterative solution of matrix equations, such as GMRES and QMR.
  • Preconditioners for Krylov subspace methods, such as Algebraic Multigrid, Sparse Approximate Inverse and Incomplete LU decomposition
  • Parallel processing and parallel algorithms. Extensive experience parallelization using MPI and threads

Experience

Education

  • PhD in Electrical Engineering, Indian Institute of Science, Bangalore, India (1997)
  • Master of Engineering in Electrical Engineering, Indian Institute of Science, Bangalore (1991)

Publications

  • 13 Refereed journal papers, 2 book chapters and 18 conference publications

Notable Achievements

(*) Currently in the process of being incorporated into an LLC.

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