Working with colleagues from IPP BAS, we are studying fast solvers for PDE's. Results have been summarized in the following publications. All papers listed here are "Technical Report" quality and copyrighted originals should be used for all purposes over and above plain curiosity.

+ S. Harizanov, I. Lirkov, K. Georgiev, M. Paprzycki, M. Ganzha, Performance analysis of a parallel algorithm for restoring large-scale CT images, in: Journal of Computational and Applied Mathematics, 310, 2017, 104-114, PDF, DOI

+ M. Ganzha, K. Georgiev, I. Lirkov, M. Paprzycki, An application of partition method for solving 3D Stokes equation, in: Computers & Mathematics with Applications, 70(11), 2015, 2762-2772, PDF

+ I. Lirkov, M. Paprzycki, M. Ganzha, P. Gepner, Performance Evaluation of MPI/OpenMP Algorithm for 3D Time Dependent Problems, in: M. Ganzha et.al. (eds.), Position Papers of the 2013 Federated Conference on Computer Science and Information Systems, Annals on Computer Science and Information Systems, Volume 2, PIPS Press, Warsaw, 2013, 27-32, PDF

+ M. Ganzha, I. Lirkov, M. Paprzycki, Comparative analysis of high performance solvers for solving Stokes equation, in: M. Todorov (ed.), AIP Conference Proceedings, 1561, 2013, 347-354, PDF

+ I. Lirkov, M. Paprzycki, M. Ganzha, Performance Analysis of Parallel Alternating Directions Algorithm for Time Dependent Problems, in: R. Wyrzykowski, et.al. (eds.) Parallel Processing and Applied Mathematics, LNCS, Springer, 2012, 173-182, PDF

+ M. Ganzha, K.Georgiev, I.Lirkov, S. Margenov, M. Paprzycki, Highly Parallel Alternating Directions Algorithm for Time Dependent Problems, M. D. Todorov, Ch. I. Christov (eds.), Proceedings of the 3rd International Conference on Application of Mathematics in Technical and Natural Sciences, American Institute of Physics, College Park, MD, 2011, 210-217, PDF

+ I.Lirkov, M. Paprzycki, M. Ganzha, P. Gepner, Parallel alternating directions algorithm for 3D Stokes equation, M. Ganzha, et.al. (eds.), Proceedings of the 2011 Federated Conference on Computer Science and Information Systems, IEEE CS Press, Los Alamitos, CA, 2011, 443-450, PDF

+ I. Lirkov, Y. Vutov, M. Paprzycki, M. Ganzha, Parallel Performance Evaluation of MIC(0) Preconditioning Algorithm for Voxel μFE Simulation, in: R. Wyrzykowski, et.al. (eds.) Parallel Processing and Applied Mathematics, LNCS, Springer, 2010, 135-144, PDF

+ I., Y. Vutov, M. Ganzha, M. Paprzycki, Comparative Analysis of High Performance Solvers for 3D Elasticity Problems, in: S. Margenov et.al. (eds.), Numerical Analysis and Its Applications, LNCS, 5434, 2009, 392-399, PDF

+ I. Lirkov, Y. Vutov, M. Paprzycki, M. Ganzha, High Performance Solver for 3D Elasticity Problems, in: Proceedings of the 2007 LSSC Conference, Springer LNCS 4818, Berlin, 2007, 692-700, PDF

+ I. Lirkov, S. Magenov, M. Paprzycki, Benchmarking Performance of an MPI-based Solver for 3D Elasticity Problems, in: Proceedings of the IEEE J. V. Atanasoff Conference, IEEE CS Press, Los Alamitos, CA, 2006, 260-265

+ "Parallel Performance of a 3D Elliptic Solver," with I. Lirkov, S. Margenov, M. Paprzycki, in: L. Vulkov, et. al. (eds.), Numerical Analysis and its Applications, LNCS, Springer, 2001, 535-543, PDF

+ "Parallel Conjugate Gradient Method with Circulant Block-Factorization Preconditioners for 3D Elliptic Problems," I. Lirkov, S. Margenov, M. Paprzycki, in: B. Hendrickson et. al. (eds.), Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, SIAM, Philadelphia, 1999, files Marcin~1.pdf and Marcin~1.ps

+ "Implementing Parallel Elliptic Solver on a Beowulf Cluster," J. Sanchez, S. Petrova, M. Paprzycki, in: Proceedings of the 15th Annual Conference on Applied Mathematics, University of Central Oklahoma, Edmond, OK, 1999, 211-221, PDF

+ "Benchmarking performance of parallel computers using a 2D elliptic solver," I. Lirkov, S. Margenov, M. Paprzycki, in: O. Iliev, et. al. (eds.), Recent advances in numerical methods and applications, World Scientific, 1999, 491-499 , PDF

+ "Parallel Solution of 2D Elliptic PDE's on Silicon Graphics Supercomputers," I. Lirkow, S. Margenow, M. Paprzycki, in: Y. Pan et. al. (eds.) Proceedings of the 10th International Conference on Parallel and Distributed Computing and Systems, IASTED/ACTA Press, Anaheim, 1998, 575-580, PDF

+ "A Shared Memory Parallel Implementation of Block-Circulant Preconditioners," I. Lirkow, S. Margenow, L. Owens, M. Paprzycki, in: M. Griebel et. al. (eds.) Large-Scale Scientific Computations of Engineering and Environmental Problems, VIEWEG, Wisbaden, 1998, 319-327, PDF

+ "Parallel Performance of a Direct Elliptic Solver," H. Hope, S. Petrova, M. Paprzycki, in: M. Griebel et. al. (eds.) Large-Scale Scientific Computations of Engineering and Environmental Problems, VIEWEG, Wisbaden, 1998, 310-318, PDF

Copies of the papers can be obtained by e-mailing me at marcin.paprzycki@ibspan.waw.pl