Dan Gordon - Software

CARP-CG Parallel Algorithm
This software package contains the CARP-CG algorithm [1], and the setup routines to run it on all the problems in references [1-4] below. A detailed README is included.

Mar. 4, 2012: CARP-CG for various problems involving the Helmholtz equation, including the SEG/EAGE salt model, can be downloaded from carpcg-helm.tar.gz

Nov. 22, 2012: The CGMN algorithm [5, 6] (CARP-CG on a single processor) for solving linear systems provided in Matrix Market format: cgmn.tar.gz. A detailed README is included. Last update: Dec. 19, 2018.

References

PLEASE READ THE COPYRIGHT NOTICE.

  1. D. Gordon and R. Gordon.
    CARP-CG: a robust and efficient parallel solver for linear systems, applied to strongly convection dominated PDEs.
    Parallel Computing 36:9, Sept. 2010, 495-515.

  2. D. Gordon and R. Gordon.
    Solution methods for nonsymmetric linear systems with large off-diagonal elements and discontinuous coefficients.
    Computer Modeling in Engineering & Sciences 53:1, Nov. 2009, 23-45.

  3. D. Gordon and R. Gordon.
    Parallel solution of high-frequency Helmholtz equations using high-order finite difference schemes.
    Applied Mathematics & Computation 218:21, July 2012, 10737-10754.

  4. D. Gordon and R. Gordon.
    Robust and highly scalable parallel solution of the Helmholtz equation with large wave numbers.
    J. of Computational & Applied Mathematics 237:1, Jan. 2013, 182-196.

  5. Å. Björck and T. Elfving.
    Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations. BIT 19, 1979, 145-163.

  6. D. Gordon and R. Gordon.
    CGMN revisited: robust and efficient solution of stiff linear systems derived from elliptic partial differential equations. (Preprint with color figures.)
    ACM Trans. on Mathematical Software 35:3, Oct. 2008, pages 18:1-18:27.


COPYRIGHT NOTICE (proposed by ACM). The documents distributed by this server have been provided by the contributing author as a means to ensure timely dissemination of scholarly and technical work on a non-commercial basis. Copyright and all rights therein are maintained by the authors or by other copyright holders, notwithstanding that they have offered their works here electronically. It is understood that all persons copying this information will adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder.

Go to top of page.

Page source: https://cs.haifa.ac.il/~gordon/soft.html

Return to D. Gordon's homepage