Publications

 

During the second phase of the TOPS project, the principal investigators have published extensively in the field of scalable solvers and also co-authored many papers with applications scientists. The papers below are at least partially attributable to TOPS support

 

 

April 2009 - January 2010
  1. J. Adler, T. Manteuffel, S. McCormick, and J. Ruge, First-order system least squares for resistive magnetohydrodynamics, SIAM J. Sci. Comp., to appear.
  2. J. Adler, T. Manteuffel, S. McCormick, J. Ruge, and G. Sanders, An efficiency-based adaptive refinement scheme applied to incompressible, resistive magnetohydrodynamics, Lecture Notes in Computer Science (2009), to appear.
  3. V. Akcelik, H.P. Flath, O. Ghattas, J. Hill, B. van Bloemen Waanders, and L.C. Wilcox, Fast algorithms for Bayesian uncertainty quantification in large-scale linear inverse problems based on low-rank partial Hessian approximations, submitted to SIAM J. Sci. Comp.
  4. A. Askan, V. Akcelik, J. Bielak, and O. Ghattas, Parametric analysis of a nonlinear least squares optimization-based anelastic full waveform inversion method, submitted to Comptes Rendus Mecanique, special issue on inverse problems
  5. A. H. Baker, Tz. V. Kolev, U. M. Yang, Improving algebraic multigrid interpolation operators for linear elasticity problems. J. Num. Lin. Alg. Appl. (to appear, published online 2009). Special issue on Multigrid Methods.
  6. A. Barker and X.-C. Cai, NKS for fully coupled fluid-structure interaction with application, Lecture Notes in Computational Science and Engineering, Springer, 70 (2009), pp.275-282.
  7. A. Barker and X.-C. Cai, Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling, J. Comput. Phys., 229 (2010), pp. 642-659.
  8. J. J. Brannick and R. D. Falgout. Compatible relaxation and coarsening in algebraic multigrid. SIAM J. Sci. Comput. (submitted). Available as LLNL technical report LLNL-JRNL-417122.
  9. J. Brannick, C. Ketelsen, T. Manteuffel, and S. McCormick, Least-squares finite element methods for quantum electrodynamics, SIAM J. Sci. Comp., to appear.
  10. C. Burstedde, M. Burtscher, O. Ghattas, G. Stadler, T. Tu, and L.C. Wilcox, ALPS: A framework for parallel adaptive PDE solution, Journal of Physics: Conference Series, 180:012009, doi: 10.1088/1742-6596/180/1/012009, 2009.
  11. C. Burstedde and O. Ghattas, Algorithmic strategies for full waveform inversion: 1D experiments, Geophysics, 74(6):WCC37--WCC46, doi:10.1190/1.3237116, 2009.
  12. C. Burstedde, O. Ghattas, T. Tu, G. Stadler, L. Wilcox, Parallel scalable adjoint-based adaptive solution of variable-viscosity Stokes flow problems, Computer Methods in Applied Mechanics and Engineering, 198:1691--1700, 2009. doi:10.1016/j.cma.2008.12.015
  13. X.-C. Cai, Nonlinear overlapping domain decomposition methods, Lecture Notes in Computational Science and Engineering, Springer, 70 (2009), pp. 217-224.
  14. X.-C. Cai, S. Liu, and J. Zou, Parallel overlapping domain decomposition methods for coupled inverse elliptic problems, Comm. App. Math. Comp. Sci., 4 (2009), pp. 1-26.
  15. D. Galbally, K. Fidkowski, K. Willcox, and O. Ghattas, Nonlinear model reduction for uncertainty quantification in large-scale inverse problems, International Journal for Numerical Methods in Engineering}, in press. doi:10.1002/nme.2746.
  16. O. Ghattas, R.M. Moser, G. Stadler, and S. Yang, A shape Hessian-based boundary roughness analysis of Navier-Stokes flows, submitted to SIAM J. Control and Opt.
  17. M. Gu, X. S. Li, and P. S. Vassilevski, Direction-preserving and Schur-monotonic Semi-separable Approximation of Symmetric Positive Definite Matrices, submitted to SIAM J. Matrix Analysis and Applications, October 2009.
  18. J. Heys, E. Lee, T. Manteuffel, S. McCormick, and J. Ruge, Enhanced mass conservation in least-squares methods, SIAM J. Sci. Comp. 31 (2009), pp. 2303-2321.
  19. C. Ketelsen, T. Manteuffel, S. McCormick, and J. Ruge, Finite element methods for quantum electrodynamics using a Helmholtz decomposition of the gauge field, J. Num. Lin. Alg. Appl., to appear.
  20. S.J. Kollet, R. M. Maxwell, C.S. Woodward, S.G. Smith, J. Vanderborght, H. Vereecken, and C. Simmer, Proof-of-concept of regional scale hydrologic simulations at hydrologic resolution utilizing massively parallel computer resources, to appear in Water Resources Research, 2010.
  21. X.S. Li and J.W. Demmel, SuperLU essay, Encyclopedia of Parallel Computing, Springer, 2010, to appear.
  22. X. S. Li and Meiyue Shao, A Supernodal Approach to Incomplete LU factorization, submitted to ACM Transaction Math. Software, July 2009.
  23. X. S. Li, M. Shao, I. Yamazaki, and E. G. Ng, Factorization-based sparse solvers and preconditioners, Journal of Physics: Conference Series 180 (2009) 012015. Proc. of SciDAC 2009, June 14-18, 2009.
  24. C. Lieberman, K. Willcox, O. Ghattas, Parameter and state model reduction for large-scale statistical inverse problems, submitted to SIAM J. Sci. Comp.
  25. T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and G. Sanders, Further results on error estimators for local refinement with first-order system least squares (FOSLS), J. Num. Lin. Alg. Appl., to appear.
  26. T. Manteuffel, S. McCormick, M. Park, and J. Ruge Operator-based interpolation for bootstrap algebraic multigrid, J. Num. Lin. Alg. Appl., to appear.
  27. R.M. Maxwell, J.K. Lundquist, J. Mirocha, S.G. Smith, C.S. Woodward, A.F.B. Tompson, Development of a Coupled Groundwater-Atmospheric Model, submitted to Monthly Weather Review.
  28. D.R. Reynolds, R. Samtaney, and C.S. Woodward, Operator-Based Preconditioning of Stiff Hyperbolic Systems. SIAM Journal on Scientific Computing, Vol 32 (1), 2010, pp. 150-170.
  29. H. de Sterck, T. Manteuffel, S. McCormick, K. Miller, J. Ruge, and G. Sanders, Algebraic multigrid for Markov chains, SIAM J. Sci. Comp., to appear.
  30. J.P. Vary, H. Honkanen, Jun Li, P. Maris, S.J. Brodsky, A. Harindranath, G.F. de Teramond, P. Sternberg, E.G. Ng, C. Yang, Hamiltonian light-front field theory in a basis function approach, arXiv:0905.1411 [nucl-th], submitted to Phys. Rev. C.
  31. J.P. Vary, H. Honkanen, Jun Li, P. Maris, S.J. Brodsky, A. Harindranath, G.F. de Teramond, P. Sternberg, E.G. Ng, C. Yang, Hamiltonian light-front field theory within an AdS/QCD basis, arXiv:0911.2929 [nucl-th], to appear in the proceedings of Light-Cone 2009, Brasil, June 2009.
  32. J.P. Vary, P Maris, E.G. Ng, C. Yang, M. Sosonkina, Ab initio nuclear structure: The Large sparse matrix eigenvalue problem, arXiv:0907.0209 [nucl-th], J. Phys. Conf. Ser. 180, 012083 (2009).
  33. H. F. Walker, C. S. Woodward, and U. M. Yang, An Accelerated Fixed-Point Iteration for Solution of Variably Saturated Flow, to appear in Proc. of XVIII International Conference on Computational Methods in Water Resources, Barcelona, Spain, 2010.
  34. J. Xia, S. Chandrasekaran, M. Gu, and X. S. Li, Superfast Multifrontal Method for Structured Linear Systems of Equations, SIAM J. Matrix Analysis and Applications, Vol.31, No.3., 1382-1411, 4 December 2009.
  35. J. Xia, S. Chandrasekaran, M. Gu, and X. S. Li, Fast algorithms for hierarchically semiseparable matrices, Numerical Linear Algebra with Applications. To appear.
  36. I. Yamazaki and X. S. Li, On techniques to improve robustness and scalability of the Schur complement method, submitted to VECPAR'10, November 2009.
  37. I. Yamazaki, X. S. Li, and E. Ng, Preconditioning Schur complement systems of highly-indefinite linear systems for a parallel hybrid solver, submitted to Numerical Mathematics: Theory, Methods and Applications, August 2009.
  38. I. Yamazaki, X. S. Li, and E. Ng, A Parallel Hybrid Linear Solver for Accelerator Cavity Design. To appear in Proc. 10th Interntional Computational Accelerator Physics Conference, 2009.
  39. C. Yang, J. Cao, and X.-C. Cai, A fully implicit domain decomposition algorithm for shallow water equations on the cubed-sphere, SIAM J. Sci. Comput., 32 (2010), pp. 418-438.
  40. U. M. Yang, On long-range interpolation operators for aggressive coarsening. J. Num. Lin. Alg. Appl. (to appear, published online 2009). Special issue on Multigrid Methods.

 

October 2006 - March 2009
  1. M. F. Adams, S. Ethier, and N. Wichmann, Performance of particle and cell methods on highly concurrent computational architectures. J. of Phys.: Conference Series, 78 (2007).
  2. M. F. Adams and Y. Nishimura, Parallel algebraic multigrid methods in gyrokinetic turbulence simulations. Commun. Comput. Phys., 2 (2007), pp. 881-899.
  3. J. Adler, T. Manteuffel, S. McCormick, and J. Ruge, First-order system least squares for resistive magnetohydrodynamics. SIAM J. Sci. Comp., submitted.
  4. V. Akcelik, G. Biros, O. Ghattas, J. Hill, D. Keyes, and B. van Bloemen Waanders, Parallel PDE constrained optimization, in Parallel Processing for Scientific Computing, M. Heroux, P. Raghavan, and H. Simon, eds, SIAM, 2006.
  5. Patrick R. Amestoy, Xiaoye S. Li, and Esmond G. Ng, Diagonal Markowitz Scheme with Local Symmetrization. SIAM J. Matrix Analysis and Applications, Vol. 29, No. 1, 228-244, 2007.
  6. Patrick R. Amestoy, Xiaoye S. Li, and Stéephane Pralet, Unsymmetric Ordering Using A Constrained Markowitz Scheme. SIAM J. Matrix Analysis and Applications, Vol. 29, No. 1, 302-327, 2007.
  7. A. Askan, V. Akcelik, J. Bielak, and O. Ghattas, Full waveform inversion for seismic velocity and anelastic losses in heterogeneous structures. Bulletin of Seismological Society of America, 97(6):1990-2008, 2007.
  8. Haim Avron, Esmond G. Ng, and Sivan Toledo, Using Perturbed QR Factorizations to Solve Linear Least-Squares Problems. SIAM J. Matrix Anal. Appls., to appear, 2007.
  9. Z. Bai, W. Gao, J.-H. Ko, X.S. Li, and C. Yang, Algebraic Substructuring (AS) for Eigenvalue and Frequency Response Calculations. Proc. in Applied Mathematics and Mechanics, 7, 1140503-1140504 (2007). ICIAM 2007, Zurich, Switzerland, July 16-20, 2007.
  10. S.Balay, K.R. Buschelman, W.D. Gropp, D.K. Kaushik, M.G. Knepley, L.C. McInnes, and B.F. Smith, PETSc home page, 2002 . http://www.mcs.anl.gov/petsc.
  11. Grey Ballard, James Demmel, Olga Holtz, and Oded Schwartz, Communication-Optimal Parallel and Sequential Cholesky decomposition. Tech. Report UCB/EECS-2009-29. A short version has been submitted to SPAA 09.
  12. A. Barker and X.-C. Cai, NKS for fully coupled uid-structure interaction with application. Lecture Notes in Computational Science and Engineering, Springer, (2009).
  13. A. Barker and X.-C. Cai, Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling. J. Comput. Phys., submitted.
  14. O. Bashir, O. Ghattas, J. Hill, B. van Bloeman Waanders, and K. Willcox, Hessian-based model reduction for large-scale data asssimilation problems. 2007 International Conference on Computational Science, Beijing, China, May, 2007.
  15. O. Bashir, K. Willcox, O. Ghattas, B. van Bloemen Waanders, and J. Hill, Hessian-based model reduction for large-scale systems with initial condition inputs, International Journal for Numerical Methods in Engineering, 73(6):844-868, 2008.
  16. S. J. Benson and T. S. Munson, Flexible complementarity solvers for large-scale applications. Optimization Methods and Software, 21(1):155-168, 2006.
  17. Steve Benson, Lois Curfman McInnes, Jorge J. Morée, Todd Munson, and Jason Sarich, TAO Users Manual. Tech. Report ANL/MCS-TM-242 (Revision 1.9), Argonne National Laboratory, 2007.
  18. J. Brannick, M. A. Clark, R. C. Brower, T. Manteuffel, S. McCormick, J. C. Osborn, and C. Rebbi, The removal of critical slowing down. Procs. XXVI Intl Symp. On Lattice Field Thoery, July 14-19, 2008.
  19. J. Brannick, C. Ketelsen, T. Manteuffel, and S. McCormick, Least-squares finite elements for quantum electrodynamics. SIAM J. Sci. Comp., submitted.
  20. M. Brezina, T. Manteuffel, S. McCormick, J. Ruge, G. Sanders, and P. Vassilevski, A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation multigrid (SA). J. Num. Lin. Alg. Appl. 15 (2008), pp. 249-270.
  21. M. Brezina, T. Manteuffel, S. McCormick, J. Ruge, and G. Sanders, Towards adaptive smooth aggregation (αSA) for nonsymmetric problems. SIAM J. Sci. Comp., to appear.
  22. T. Bui-Thanh, K. Willcox, O. Ghattas, B. van Bloemen Waanders, Goal-oriented, model-constrained optimization for reduction of large-scale systems. Journal of Computational Physics, 224(2):880-896, 2006.
  23. T. Bui-Thanh, K. Willcox, and O. Ghattas, Parametric Reduced-Order Models for Probabilistic Analysis of Unsteady Aerodynamic Applications. 2007 AIAA SDM Conference, Honolulu, Hawaii, April 2007.
  24. T. Bui-Thanh, K. Willcox, and O. Ghattas, Model reduction for large-scale systems with high-dimensional parametric input space. SIAM Journal on Scientific Computing, 30(6):3270-3288, 2008.
  25. T. Bui-Thanh, K. Willcox, and O. Ghattas, Parametric reduced-order models for probabilistic analysis of unsteady aerodynamic applications. AIAA Journal, 46(10):2520-2529, 2008.
  26. C. Burstedde and O. Ghattas, Algorithmic Strategies for Full Waveform Inversion: 1D Experiments. Proceedings of SEG 2007, San Antonio, September, 2007.
  27. C. Burstedde, O. Ghattas, M. Gurnis, E. Tan, T. Tu, G. Stadler, L. Wilcox, and S. Zhong, Scalable adaptive mantle convection simulation on petascale supercomputers. SC08, Austin, TX, November, 2008. (Gordon Bell Prize finalist)
  28. C. Burstedde, O. Ghattas, T. Tu, G. Stadler, and L. Wilcox, Towards adaptive mesh PDE simulations on petascale computers. TeraGrid 2008, Las Vegas, NV, June, 2008.
  29. C. Burstedde and O. Ghattas, Algorithmic Strategies for Full Waveform Inversion: 1D Experiments. Geophysics, submitted.
  30. C. Burstedde, O. Ghattas, T. Tu, G. Stadler, and L. Wilcox, Parallel scalable adjoint-based adaptive solution of variable-viscosity Stokes flow problems. Computer Methods in Applied Mechanics and Engineering, to appear (2009).
  31. X.-C. Cai, S. Liu, and J. Zou, An overlapping domain decomposition method for parameter identification problems. Lecture Notes in Computational Science and Engineering, U. Langer, M. Discacciati, D.E. Keyes, O.B. Widlund, W. Zulehner (Eds.), Springer, Vol. 60, (2008), pp. 451-458.
  32. X.-C. Cai, Nonlinear overlapping domain decomposition methods. Lecture Notes in Computational Science and Engineering, Springer, (2009).
  33. X.-C. Cai and X. Li, Inexact Newton methods with nonlinear restricted additive Schwarz preconditioning for problems with high local nonlinearity. SIAM J. Sci. Comput., submitted.
  34. J R Cary, J Candy, R H Cohen, S Krasheninnikov, D C McCune, D J Estep, J Larson, A D Malony, P H Worley, J A Carlsson, A H Hakim, P Hamill, S Kruger, S Muzsala, A Pletzer, S Shasharina, D Wade-Stein, N Wang, L McInnes, T Wildey, T Casper, L Diachin, T Epperly, T D Rognlien, M R Fahey, J A Kuehn, A Morris, S Shende, E Feibush, G W Hammett, K Indireshkumar, C Ludescher, L Randerson, D Stotler, A Yu, A Pigarov, P Bonoli, C S Chang, D A DIppolito, P Colella, D E Keyes, R Bramley, and J R Myra, Introducing FACETS, the Framework Application for Core-Edge Transport Simulations. Journal of Physics: Conference Series 78 (2007), available via http://www.iop.org/EJ/abstract/1742-6596/78/1/012086.
  35. J R Cary, J Candy, R H Cohen, S Krasheninnikov, D C McCune, D J Estep, J Larson, A D Malony, A. Pankin, P H Worley, J A Carlsson, A H Hakim, P Hamill, S Kruger, M Miah, S Muzsala, A Pletzer, S Shasharina, D Wade-Stein, N Wang, S. Balay, L McInnes, H Zhang, T Casper, L Diachin, T Epperly, T D Rognlien, M R Fahey, J Cobb, A Morris, S Shende, G W Hammett, K Indireshkumar, D Stotler, and A Yu Pigarov, First Results from Core-Edge Parallel Composition in the FACETS Project. J. Phys.: Conf. Ser. 125 (2008) 012040, available via http://www.iop.org/EJ/abstract/1742-6596/125/1/012040.
  36. S. Chandrasekaran, M. Gu, X. S. Li, and J. Xia, Some Fast Algorithms for Hierarchically Semiseparable Matrices. LBNL-62897, Lawrence Berkeley National Laboratory, June 2007.
  37. S. Chandrasekaran, M. Gu, X. S. Li, and J. Xia, Superfast Multifrontal Method for Structured Linear Systems of Equations. LBNL-62898, Lawrence Berkeley National Laboratory, June 2007. (Submitted to SIAM J. Matrix Analysis and Applications)
  38. P. Cicotti, X.S. Li, and S. Baden, LUsim: A framework for simulation-based performance modeling and prediction of parallel sparse LU factorization. LBNL-196E, Lawrence Berkeley National Laboratory, April 2008.
  39. James Demmel, Laura Grigori, Mark Hoemmen, and Julien Langou, Communication-avoiding parallel and sequential QR factorizations. Tech. Report UCB/EECS-2008-89. Submitted to SIAM J. Sci. Comp. 2008.
  40. J. Demmel, M. Hoemmen, M. Mohiyuddin, and K. Yelick, Avoiding Communication in Sparse Matrix Computations. IEEE Intern. Parallel and Distributed Processing Symposium, April 2008.
  41. L. Freitag Diachin, P. Knupp, T. Munson, and S. Shontz, A comparison of two optimization algorithms for mesh quality improvement. Engineering with Computers, 22(2):61-74, 2006.
  42. J. Dobaczewski, W. Satula, BG Carlsson, J. Engel, P. Olbratowski, P. Powalowski, M. Sadziak, J. Sarich, N. Schunck, A. Staszczak, and others, Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2. 38j): A new version of the program. Arxiv preprint arXiv:0903.1020, 2009.
  43. Elizabeth D. Dolan, Jorge J. Morée, and Todd S. Munson, Optimality measures for performance profiles. SIAM J. on Optimization, 16:891-909, 2006.
  44. I. Epanomeritakis, V.Akcelik, O. Ghattas, and J. Bielak, A Newton-CG method for large-scale three-dimensional elastic full-waveform seismic inversion. Inverse Problems, 24:034015 (26pp), 2008.
  45. K.J. Evans, D.W.I. Rouson, A.G. Salinger, M.A. Taylor, W. Weijer, and J.B. White, A scalable and adaptable solution framework within components of the Community Climate System Model . Proceedings of ICCS, 2009.
  46. D. Galbally, K. Fidkowski, K. Willcox, and O. Ghattas, Nonlinear model reduction for uncertainty quantification in large-scale inverse problems. International Journal for Numerical Methods in Engineering, submitted.
  47. W. Gao, X. S. Li, C. Yang, and Z. Bai, An Implementation and Evaluation of the AMLS Method for Sparse Eigenvalue Problems. ACM Trans. Mathematical Software, Vol. 34, No. 4, Article 20, July 2008.
  48. Laura Grigori, Michel Cosnard, and Esmond G. Ng, On the Row Merge Tree for Sparse LU Factorization with Partial Pivoting. BIT Numerical Mathematics, Vol. 47, No. 1 (2007), pp. 45-76.
  49. L. Grigori, J. W. Demmel and X. S. Li, Parallel Symbolic Factorization for Sparse LU with Static Pivoting. SIAM J. Scientific Computing, Vol. 29, Issue 3, 1289-1314, 2007.
  50. L. Grigori and X. S. Li, Towards an Accurate Performance Modeling of Parallel Sparse Factorization. Applicable Algebra in Engineering, Communication, and Computing, Vol. 18, No. 3, 241-261, 2007.
  51. Laura Grigori, James Demmel, and Hua Xiang, Communication Avoiding Gaussian Elimination. Supercomputing08, November 2008.
  52. J. Heys, E. Lee, T. Manteuffel, and S. McCormick, An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation. J. Comp. Phys. 226 (2008), pp. 9941006.
  53. J. Heys, E. Lee, T. Manteuffel, S. McCormick, and J. Ruge, Enhanced mass conservation in least-squares methods. SIAM J. Sci. Comp., to appear.
  54. F.-N. Hwang and X.-C. Cai, Parallel fully coupled Schwarz preconditioners for saddle point problems, ETNA, 22 (2006), pp. 146-162.
  55. F.-N. Hwang and X.-C. Cai, A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms. Computer Methods in Applied Mechanics and Engineering, 196 (2007), pp. 1603-1611.
  56. C. Jin, X.-C. Cai, and C. Li, Parallel domain decomposition methods for stochastic elliptic equations. SIAM J. Sci. Comput., 29 (2007), pp. 2096-2114.
  57. C. Jin and X.-C. Cai, A preconditioned recycling GMRES solver for stochastic Helmholtz problems. Commun. Comput. Phys., 6 (2009), pp. 342-353.
  58. D.E. Keyes, D.R. Reynolds, and C.S. Woodward, Implicit solvers for large-scale non-linear problems. Journal of Physics: Conf. Ser., 46:433-442, 2006.
  59. Ingyu Lee, Padma Raghavan, and Esmond G. Ng, Effective Preconditioning Through Ordering Interleaved With Incomplete Factorization. SIAM J. Matrix Anal. Appls. 27, no. 4 (2006), pp.1069-1088.
  60. X.S. Li, J. Demmel, L. Grigori, M. Gu, J. Xia, S. Jardin, C. Sovinec, and L.-Q Lee, Enhancing Scalability of Sparse Direct Methods, Journal of Physics: Conference Series 78 (2007) 012041. Proc. of SciDAC 2007, June 24-28, 2007, Boston.
  61. X. S. Li, Evaluation of sparse factorization and triangular solution on multicore architectures. Proc. of VECPAR 2008, June 24-27, 2008, Toulouse, France. LNCS 5336.
  62. X.S. Li, Evaluation of SuperLU on Multicore Architectures. Journal of Physics: Conference Series 125 (2008) 012079. Proc. of SciDAC 2008, July 13-17, 2008, Seattle.
  63. Jorge J Morée, Todd Munson, and Jason Sarich, Optimization in SciDAC applications. Journal of Physics, Conference Series, 78:012051, 2007.
  64. Jorge J. Morée and Stefan Wild, Benchmarking derivative-free optimization algorithms. Tech. Report ANL/MCS-P1471-1207, Argonne National Laboratory, 2007. Accepted for publication in the SIAM Journal on Optimization.
  65. Esmond G. Ng, Parallel Sparse Solvers, Preconditioners, and Their Applications. Parallel Processing for Scientific Computing, Michael Heroux, Padma Raghavan, and Horst Simon (eds). SIAM (2006), pp. 163-178.
  66. Esmond G. Ng, Sparse Matrix Methods. Handbook of Linear Algebra, Leslie Hogben (ed), CRC Press (2007).
  67. Kurt T. Nihei and Xiaoye Li, Frequency response modeling of seismic waves using finite difference time domain with phase detection (TD-PSD). Geophysical Journal International, Vol. 169, Issue. 3, 1069-1078, 2007.
  68. M.L. Norman, G.L. Bryan, R. Harkness, J. Bordner, D.R. Reynolds, B. O'Shea, and R. Wagner, Simulating Cosmological Evolution with Enzo. in Petascale Computing: Algorithms and Applications, D. Bader (editor), CRC Press, 2007.
  69. S. Ovtchinnikov, F. Dobrian, X.-C. Cai, and D. Keyes, Domain-decomposed fully coupled implicit methods for a magnetodydrodynamics problem. Lecture Notes in Computational Science and Engineering, Springer, (2006).
  70. S. Ovtchinnikov, F. Dobrian, X.-C. Cai, and D. Keyes, Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems. J. Comput. Phys., 225 (2007), pp. 1919-1936.
  71. E. Prudencio, R. Byrd, and X.-C. Cai, Parallel full space SQP Lagrange-Newton-Krylov-Schwarz algorithms for PDE-constrained optimization problems. SIAM J. Sci. Comput., 27 (2006), pp. 1305-1328.
  72. E. Prudencio and X.-C. Cai, Parallel multilevel restricted Schwarz preconditioners with pollution removing for PDE-constrained optimization. SIAM J. Sci. Comput., 29 (2007), pp. 964-985.
  73. D.R. Reynolds, On the Improvement of Splitting Methods for Fully Implicit Systems of Equations. In preparation.
  74. D.R. Reynolds, R. Samtaney, and C.S. Woodward, A Fully Implicit Numerical Method for Single-Fluid Resistive Magnetohydrodynamics. J. Comp. Phys., 219:144-162, 2006.
  75. D.R. Reynolds, F.D. Swesty, and C.S. Woodward, A Newton-Krylov solver for implicit solution of hydrodynamics in core collapse supernovae. Journal of Physics: Conf. Ser., 125, 2008.
  76. D.R. Reynolds, C.S. Woodward, and F.D. Swesty, Efficient Algorithms for Implicit Hydrodynamic Simulation Using Newton-Krylov Methods. In preparation.
  77. D.R. Reynolds, J.C. Hayes, P. Paschos, and M.L. Norman, Self-Consistent Solution of Cosmological Radiation-Hydrodynamics and Chemical Ionization. J. Comput. Phys., Vol. 228, pp. 6833-6854 (2009).
  78. D.R. Reynolds, R. Samtaney, and C.S. Woodward, Operator-Based Preconditioning of Stiff Hyperbolic Systems. SIAM Journal on Scientific Computing, to appear.
  79. D.R. Reynolds, R. Samtaney, and C.S. Woodward, Physics-based preconditioning of resistive MHD systems. In preparation.
  80. M. A. Smith, G. Palmiotti, et al., Benchmark on Deterministic Transport Calculations Without Spatial Homogenization (MOX Fuel Assembly 3-D Extension Case). OECD/NEA document, NEA/NSC/DOC(2005)16, October 2005.
  81. M.A. Smith, C.Rabiti, D.Kaushik G.Palmiotti, A.Siegel, B.Smith, and T.Tautges, UNIC: Development of a new reactor physics analysis tool . Transactions of the American Nuclear Society, November 1115, 2007. Washington, D. C.
  82. H. De Sterck, R. Falgout, J. Nolting, and U. Meier Yang, Distance-two Interpolation for Parallel Algebraic Multigrid. J. Num. Lin. Alg. Appl. 15 (2008), pp. 115139.
  83. H. De Sterck, T. Manteuffel, S. McCormick, Q. Nguyen, and J. Ruge, Multilevel adaptive aggregation for Markov chains, with application to web ranking. SIAM J. Sci. Comp. 30 (2008), pp. 22352262.
  84. H. De Sterck, T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and L. Tang, Eficiency based h- and hp-refinement strategies for finite element methods. J. Num. Lin. Alg. Appl. 15 (2008), pp. 89-114.
  85. H. De Sterck, T. Manteuffel, S. McCormick, K. Miller, J. Ruge, and G. Sanders, Algebraic multigrid for Markov chains. SIAM J. Sci. Comp., submitted.
  86. H. De Sterck, T. Manteuffel, S. McCormick, J. Pearson, J. Ruge, and G. Sanders, Smoothed aggregation multigrid for Markov chains. SIAM J. Sci. Comp., to apear.
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