P_ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures. P_ARPACK is a parallel version of the ARPACK software. ARPACK is a package of Fortran 77 subroutines which implement the implicitly, restarted Arnoldi method used for solving large sparse eigenvalue problems. A parallel implementation of ARPACK is presented which is portable across a wide range of distributed memory platforms and requires minimal changes to the serial code. The communication layers used for message passing are the basic linear algebra communication subprograms developed for the ScaLAPACK project and message passing interface.

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  1. Timme, Sebastian: Global instability of wing shock-buffet onset (2020)
  2. Brynjell-Rahkola, Mattias; Hanifi, Ardeshir; Henningson, Dan S.: On the stability of a Blasius boundary layer subject to localised suction (2019)
  3. Contreras, Andres A.; Mycek, Paul; Le Maître, Olivier P.; Rizzi, Francesco; Debusschere, Bert; Knio, Omar M.: Parallel domain decomposition strategies for stochastic elliptic equations. Part A: Local Karhunen-Loève representations (2018)
  4. Hack, M. J. Philipp; Moin, Parviz: Coherent instability in wall-bounded shear (2018)
  5. Salas, Pablo; Giraud, Luc; Saad, Yousef; Moreau, Stéphane: Spectral recycling strategies for the solution of nonlinear eigenproblems in thermoacoustics. (2015)
  6. Tammisola, Outi; Lundell, Fredrik; Söderberg, L. Daniel: Surface tension-induced global instability of planar jets and wakes (2012)
  7. Ainsworth, G. O. jun.; Ribeiro, F. L. B.; Magluta, C.: A parallel subdomain by subdomain implementation of the implicitly restarted Arnoldi/Lanczos method (2011)
  8. Emad, Nahid; Delannoy, Olivier; Dandouna, Makarem: Numerical library reuse in parallel and distributed platforms (2011)
  9. Tammisola, Outi; Lundell, Fredrik; Schlatter, Philipp; Wehrfritz, Armin; Söderberg, L. Daniel: Global linear and nonlinear stability of viscous confined plane wakes with co-flow (2011)
  10. Vömel, Christof; Tomov, Stanimire Z.; Marques, Osni A.; Canning, A.; Wang, Lin-Wang; Dongarra, Jack J.: State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems (2008)
  11. Mitchell, William F.; Tiesinga, Eite: Adaptive grid refinement for a model of two confined and interacting atoms (2005)
  12. Salinger, A. G.; Burroughs, E. A.; Pawlowski, R. P.; Phipps, E. T.; Romero, L. A.: Bifurcation tracking algorithms and software for large scale applications (2005)
  13. Burroughs, Elizabeth A.; Romero, Louis A.; Lehoucq, Richard B.; Salinger, Andrew G.: Linear stability of flow in a differentially heated cavity via large-scale eigenvalue calculations (2004)
  14. Goyal, N.; Meiburg, E.: Unstable density stratification of miscible fluids in a vertical Hele-Shaw cell: influence of variable viscosity on the linear stability (2004)
  15. Hernández, Vicente; Román, Jose E.; Vidal, Vicente: SLEPc: Scalable library for eigenvalue problem computations (2003)
  16. Riaz, Amir; Meiburg, Eckart: Radial source flows in porous media: linear stability analysis of axial and helical perturbations in miscible displacements (2003)
  17. Graf, F.; Meiburg, E.; Härtel, C.: Density-driven instabilities of miscible fluids in a Hele-Shaw cell: Linear stability analysis of the three-dimensional Stokes equations (2002)
  18. Salinger, Andrew G.; Lehoucq, Richard B.; Pawlowski, Roger P.; Shadid, John N.: Computational bifurcation and stability studies of the 8:1 thermal cavity problem (2002)
  19. Lehoucq, Richard B.; Salinger, Andrew G.: Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers (2001)
  20. Thomas, Ken S.; Cox, Simon J.; Beckett, Duan H.; Hiett, Ben P.; Generowicz, Jasek; Daniell, Geoffrey J.: Eigenvalue spectrum estimation and photonic crystals (2001)

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