--- _id: '21' abstract: - lang: eng text: "We address the general mathematical problem of computing the inverse p-th\r\nroot of a given matrix in an efficient way. A new method to construct iteration\r\nfunctions that allow calculating arbitrary p-th roots and their inverses of\r\nsymmetric positive definite matrices is presented. We show that the order of\r\nconvergence is at least quadratic and that adaptively adjusting a parameter q\r\nalways leads to an even faster convergence. In this way, a better performance\r\nthan with previously known iteration schemes is achieved. The efficiency of the\r\niterative functions is demonstrated for various matrices with different\r\ndensities, condition numbers and spectral radii." author: - first_name: Dorothee full_name: Richters, Dorothee last_name: Richters - first_name: Michael full_name: Lass, Michael id: '24135' last_name: Lass orcid: 0000-0002-5708-7632 - first_name: Andrea full_name: Walther, Andrea last_name: Walther - first_name: Christian full_name: Plessl, Christian id: '16153' last_name: Plessl orcid: 0000-0001-5728-9982 - first_name: Thomas full_name: Kühne, Thomas id: '49079' last_name: Kühne citation: ama: Richters D, Lass M, Walther A, Plessl C, Kühne T. A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. Communications in Computational Physics. 2019;25(2):564-585. doi:10.4208/cicp.OA-2018-0053 apa: Richters, D., Lass, M., Walther, A., Plessl, C., & Kühne, T. (2019). A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. Communications in Computational Physics, 25(2), 564–585. https://doi.org/10.4208/cicp.OA-2018-0053 bibtex: '@article{Richters_Lass_Walther_Plessl_Kühne_2019, title={A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices}, volume={25}, DOI={10.4208/cicp.OA-2018-0053}, number={2}, journal={Communications in Computational Physics}, publisher={Global Science Press}, author={Richters, Dorothee and Lass, Michael and Walther, Andrea and Plessl, Christian and Kühne, Thomas}, year={2019}, pages={564–585} }' chicago: 'Richters, Dorothee, Michael Lass, Andrea Walther, Christian Plessl, and Thomas Kühne. “A General Algorithm to Calculate the Inverse Principal P-Th Root of Symmetric Positive Definite Matrices.” Communications in Computational Physics 25, no. 2 (2019): 564–85. https://doi.org/10.4208/cicp.OA-2018-0053.' ieee: 'D. Richters, M. Lass, A. Walther, C. Plessl, and T. Kühne, “A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices,” Communications in Computational Physics, vol. 25, no. 2, pp. 564–585, 2019, doi: 10.4208/cicp.OA-2018-0053.' mla: Richters, Dorothee, et al. “A General Algorithm to Calculate the Inverse Principal P-Th Root of Symmetric Positive Definite Matrices.” Communications in Computational Physics, vol. 25, no. 2, Global Science Press, 2019, pp. 564–85, doi:10.4208/cicp.OA-2018-0053. short: D. Richters, M. Lass, A. Walther, C. Plessl, T. Kühne, Communications in Computational Physics 25 (2019) 564–585. date_created: 2017-07-25T14:48:26Z date_updated: 2023-09-26T11:45:02Z department: - _id: '27' - _id: '518' - _id: '304' - _id: '104' doi: 10.4208/cicp.OA-2018-0053 external_id: arxiv: - '1703.02456' intvolume: ' 25' issue: '2' language: - iso: eng page: 564-585 project: - _id: '32' grant_number: PL 595/2-1 / 320898746 name: Performance and Efficiency in HPC with Custom Computing - _id: '52' name: Computing Resources Provided by the Paderborn Center for Parallel Computing publication: Communications in Computational Physics publisher: Global Science Press quality_controlled: '1' status: public title: A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices type: journal_article user_id: '15278' volume: 25 year: '2019' ... --- _id: '12871' author: - first_name: Marco full_name: Platzner, Marco id: '398' last_name: Platzner - first_name: Christian full_name: Plessl, Christian id: '16153' last_name: Plessl orcid: 0000-0001-5728-9982 citation: ama: Platzner M, Plessl C. FPGAs im Rechenzentrum. Informatik Spektrum. Published online 2019. doi:10.1007/s00287-019-01187-w apa: Platzner, M., & Plessl, C. (2019). FPGAs im Rechenzentrum. Informatik Spektrum. https://doi.org/10.1007/s00287-019-01187-w bibtex: '@article{Platzner_Plessl_2019, title={FPGAs im Rechenzentrum}, DOI={10.1007/s00287-019-01187-w}, journal={Informatik Spektrum}, author={Platzner, Marco and Plessl, Christian}, year={2019} }' chicago: Platzner, Marco, and Christian Plessl. “FPGAs im Rechenzentrum.” Informatik Spektrum, 2019. https://doi.org/10.1007/s00287-019-01187-w. ieee: 'M. Platzner and C. Plessl, “FPGAs im Rechenzentrum,” Informatik Spektrum, 2019, doi: 10.1007/s00287-019-01187-w.' mla: Platzner, Marco, and Christian Plessl. “FPGAs im Rechenzentrum.” Informatik Spektrum, 2019, doi:10.1007/s00287-019-01187-w. short: M. Platzner, C. Plessl, Informatik Spektrum (2019). date_created: 2019-07-22T12:42:44Z date_updated: 2023-09-26T11:45:57Z ddc: - '004' department: - _id: '27' - _id: '518' - _id: '78' doi: 10.1007/s00287-019-01187-w file: - access_level: open_access content_type: application/pdf creator: plessl date_created: 2019-07-22T12:45:02Z date_updated: 2019-07-22T12:45:02Z file_id: '12872' file_name: plessl19_informatik_spektrum.pdf file_size: 248360 relation: main_file file_date_updated: 2019-07-22T12:45:02Z has_accepted_license: '1' language: - iso: ger license: https://creativecommons.org/licenses/by/4.0/ oa: '1' publication: Informatik Spektrum publication_identifier: issn: - 0170-6012 - 1432-122X publication_status: published quality_controlled: '1' status: public title: FPGAs im Rechenzentrum type: journal_article user_id: '15278' year: '2019' ... --- _id: '20' abstract: - lang: eng text: "Approximate computing has shown to provide new ways to improve performance\r\nand power consumption of error-resilient applications. While many of these\r\napplications can be found in image processing, data classification or machine\r\nlearning, we demonstrate its suitability to a problem from scientific\r\ncomputing. Utilizing the self-correcting behavior of iterative algorithms, we\r\nshow that approximate computing can be applied to the calculation of inverse\r\nmatrix p-th roots which are required in many applications in scientific\r\ncomputing. Results show great opportunities to reduce the computational effort\r\nand bandwidth required for the execution of the discussed algorithm, especially\r\nwhen targeting special accelerator hardware." author: - first_name: Michael full_name: Lass, Michael id: '24135' last_name: Lass orcid: 0000-0002-5708-7632 - first_name: Thomas full_name: Kühne, Thomas id: '49079' last_name: Kühne - first_name: Christian full_name: Plessl, Christian id: '16153' last_name: Plessl orcid: 0000-0001-5728-9982 citation: ama: Lass M, Kühne T, Plessl C. Using Approximate Computing for the Calculation of Inverse Matrix p-th Roots. Embedded Systems Letters. 2018;10(2):33-36. doi:10.1109/LES.2017.2760923 apa: Lass, M., Kühne, T., & Plessl, C. (2018). Using Approximate Computing for the Calculation of Inverse Matrix p-th Roots. Embedded Systems Letters, 10(2), 33–36. https://doi.org/10.1109/LES.2017.2760923 bibtex: '@article{Lass_Kühne_Plessl_2018, title={Using Approximate Computing for the Calculation of Inverse Matrix p-th Roots}, volume={10}, DOI={10.1109/LES.2017.2760923}, number={2}, journal={Embedded Systems Letters}, publisher={IEEE}, author={Lass, Michael and Kühne, Thomas and Plessl, Christian}, year={2018}, pages={33–36} }' chicago: 'Lass, Michael, Thomas Kühne, and Christian Plessl. “Using Approximate Computing for the Calculation of Inverse Matrix P-Th Roots.” Embedded Systems Letters 10, no. 2 (2018): 33–36. https://doi.org/10.1109/LES.2017.2760923.' ieee: M. Lass, T. Kühne, and C. Plessl, “Using Approximate Computing for the Calculation of Inverse Matrix p-th Roots,” Embedded Systems Letters, vol. 10, no. 2, pp. 33–36, 2018. mla: Lass, Michael, et al. “Using Approximate Computing for the Calculation of Inverse Matrix P-Th Roots.” Embedded Systems Letters, vol. 10, no. 2, IEEE, 2018, pp. 33–36, doi:10.1109/LES.2017.2760923. short: M. Lass, T. Kühne, C. Plessl, Embedded Systems Letters 10 (2018) 33–36. date_created: 2017-07-25T14:41:08Z date_updated: 2022-01-06T06:54:18Z department: - _id: '27' - _id: '518' - _id: '304' doi: 10.1109/LES.2017.2760923 external_id: arxiv: - '1703.02283' intvolume: ' 10' issue: '2' language: - iso: eng page: ' 33-36' project: - _id: '32' grant_number: PL 595/2-1 name: Performance and Efficiency in HPC with Custom Computing - _id: '52' name: Computing Resources Provided by the Paderborn Center for Parallel Computing publication: Embedded Systems Letters publication_identifier: eissn: - 1943-0671 issn: - 1943-0663 publication_status: published publisher: IEEE status: public title: Using Approximate Computing for the Calculation of Inverse Matrix p-th Roots type: journal_article user_id: '16153' volume: 10 year: '2018' ... --- _id: '5414' author: - first_name: Tasneem full_name: Filmwala, Tasneem last_name: Filmwala citation: ama: Filmwala T. Study Effects of Approximation on Conjugate Gradient Algorithm and Accelerate It on FPGA Platform. Universität Paderborn; 2018. apa: Filmwala, T. (2018). Study Effects of Approximation on Conjugate Gradient Algorithm and Accelerate it on FPGA Platform. Universität Paderborn. bibtex: '@book{Filmwala_2018, title={Study Effects of Approximation on Conjugate Gradient Algorithm and Accelerate it on FPGA Platform}, publisher={Universität Paderborn}, author={Filmwala, Tasneem}, year={2018} }' chicago: Filmwala, Tasneem. Study Effects of Approximation on Conjugate Gradient Algorithm and Accelerate It on FPGA Platform. Universität Paderborn, 2018. ieee: T. Filmwala, Study Effects of Approximation on Conjugate Gradient Algorithm and Accelerate it on FPGA Platform. Universität Paderborn, 2018. mla: Filmwala, Tasneem. Study Effects of Approximation on Conjugate Gradient Algorithm and Accelerate It on FPGA Platform. Universität Paderborn, 2018. short: T. Filmwala, Study Effects of Approximation on Conjugate Gradient Algorithm and Accelerate It on FPGA Platform, Universität Paderborn, 2018. date_created: 2018-11-07T15:14:26Z date_updated: 2022-01-06T07:01:52Z department: - _id: '27' - _id: '518' language: - iso: eng project: - _id: '1' name: SFB 901 - _id: '4' name: SFB 901 - Project Area C - _id: '14' name: SFB 901 - Subproject C2 publisher: Universität Paderborn status: public supervisor: - first_name: Christian full_name: Plessl, Christian id: '16153' last_name: Plessl orcid: 0000-0001-5728-9982 title: Study Effects of Approximation on Conjugate Gradient Algorithm and Accelerate it on FPGA Platform type: mastersthesis user_id: '477' year: '2018' ... --- _id: '5421' author: - first_name: Onkar full_name: Gadewar, Onkar last_name: Gadewar citation: ama: Gadewar O. Programmable Programs? - Designing FPGA Overlay Architectures with OpenCL. Universität Paderborn; 2018. apa: Gadewar, O. (2018). Programmable Programs? - Designing FPGA Overlay Architectures with OpenCL. Universität Paderborn. bibtex: '@book{Gadewar_2018, title={Programmable Programs? - Designing FPGA Overlay Architectures with OpenCL}, publisher={Universität Paderborn}, author={Gadewar, Onkar}, year={2018} }' chicago: Gadewar, Onkar. Programmable Programs? - Designing FPGA Overlay Architectures with OpenCL. Universität Paderborn, 2018. ieee: O. Gadewar, Programmable Programs? - Designing FPGA Overlay Architectures with OpenCL. Universität Paderborn, 2018. mla: Gadewar, Onkar. Programmable Programs? - Designing FPGA Overlay Architectures with OpenCL. Universität Paderborn, 2018. short: O. Gadewar, Programmable Programs? - Designing FPGA Overlay Architectures with OpenCL, Universität Paderborn, 2018. date_created: 2018-11-07T16:16:56Z date_updated: 2022-01-06T07:01:53Z department: - _id: '27' - _id: '518' language: - iso: eng project: - _id: '1' name: SFB 901 - _id: '4' name: SFB 901 - Project Area C - _id: '14' name: SFB 901 - Subproject C2 publisher: Universität Paderborn status: public supervisor: - first_name: Christian full_name: Plessl, Christian id: '16153' last_name: Plessl orcid: 0000-0001-5728-9982 title: Programmable Programs? - Designing FPGA Overlay Architectures with OpenCL type: mastersthesis user_id: '477' year: '2018' ... --- _id: '6516' author: - first_name: Jan Cedric full_name: Mertens, Jan Cedric last_name: Mertens - first_name: Alexander full_name: Boschmann, Alexander last_name: Boschmann - first_name: M. full_name: Schmidt, M. last_name: Schmidt - first_name: Christian full_name: Plessl, Christian id: '16153' last_name: Plessl orcid: 0000-0001-5728-9982 citation: ama: Mertens JC, Boschmann A, Schmidt M, Plessl C. Sprint diagnostic with GPS and inertial sensor fusion. Sports Engineering. 2018;21(4):441-451. doi:10.1007/s12283-018-0291-0 apa: Mertens, J. C., Boschmann, A., Schmidt, M., & Plessl, C. (2018). Sprint diagnostic with GPS and inertial sensor fusion. Sports Engineering, 21(4), 441–451. https://doi.org/10.1007/s12283-018-0291-0 bibtex: '@article{Mertens_Boschmann_Schmidt_Plessl_2018, title={Sprint diagnostic with GPS and inertial sensor fusion}, volume={21}, DOI={10.1007/s12283-018-0291-0}, number={4}, journal={Sports Engineering}, publisher={Springer Nature}, author={Mertens, Jan Cedric and Boschmann, Alexander and Schmidt, M. and Plessl, Christian}, year={2018}, pages={441–451} }' chicago: 'Mertens, Jan Cedric, Alexander Boschmann, M. Schmidt, and Christian Plessl. “Sprint Diagnostic with GPS and Inertial Sensor Fusion.” Sports Engineering 21, no. 4 (2018): 441–51. https://doi.org/10.1007/s12283-018-0291-0.' ieee: J. C. Mertens, A. Boschmann, M. Schmidt, and C. Plessl, “Sprint diagnostic with GPS and inertial sensor fusion,” Sports Engineering, vol. 21, no. 4, pp. 441–451, 2018. mla: Mertens, Jan Cedric, et al. “Sprint Diagnostic with GPS and Inertial Sensor Fusion.” Sports Engineering, vol. 21, no. 4, Springer Nature, 2018, pp. 441–51, doi:10.1007/s12283-018-0291-0. short: J.C. Mertens, A. Boschmann, M. Schmidt, C. Plessl, Sports Engineering 21 (2018) 441–451. date_created: 2019-01-08T17:44:43Z date_updated: 2022-01-06T07:03:09Z ddc: - '000' department: - _id: '27' - _id: '518' doi: 10.1007/s12283-018-0291-0 file: - access_level: closed content_type: application/pdf creator: plessl date_created: 2019-01-08T17:47:06Z date_updated: 2019-01-08T17:47:06Z file_id: '6517' file_name: plessl18_sportseng.pdf file_size: 2141021 relation: main_file file_date_updated: 2019-01-08T17:47:06Z has_accepted_license: '1' intvolume: ' 21' issue: '4' language: - iso: eng page: 441-451 publication: Sports Engineering publication_identifier: issn: - 1369-7072 - 1460-2687 publication_status: published publisher: Springer Nature quality_controlled: '1' status: public title: Sprint diagnostic with GPS and inertial sensor fusion type: journal_article user_id: '16153' volume: 21 year: '2018' ... --- _id: '5417' abstract: - lang: eng text: "Molecular Dynamic (MD) simulations are computationally intensive and accelerating them using specialized hardware is a topic of investigation in many studies. One of the routines in the critical path of MD simulations is the three-dimensional Fast Fourier Transformation (FFT3d). The potential in accelerating FFT3d using hardware is usually bound by bandwidth and memory. Therefore, designing a high throughput solution for an FPGA that overcomes this problem is challenging.\r\nIn this thesis, the feasibility of offloading FFT3d computations to FPGA implemented using OpenCL is investigated. In order to mask the latency in memory access, an FFT3d that overlaps computation with communication is designed. The implementa- tion of this design is synthesized for the Arria 10 GX 1150 FPGA and evaluated with the FFTW benchmark. Analysis shows a better performance using FPGA over CPU for larger FFT sizes, with the 643 FFT showing a 70% improvement in runtime using FPGAs.\r\nThis FFT3d design is integrated with CP2K to explore the potential in accelerating molecular dynamic simulations. Evaluation of CP2K simulations using FPGA shows a 41% improvement in runtime in FFT3d computations over CPU for larger FFT3d designs." author: - first_name: Arjun full_name: Ramaswami, Arjun id: '49171' last_name: Ramaswami orcid: https://orcid.org/0000-0002-0909-1178 citation: ama: Ramaswami A. Accelerating Molecular Dynamic Simulations by Offloading Fast Fourier Transformations to FPGA. Universität Paderborn; 2018. apa: Ramaswami, A. (2018). Accelerating Molecular Dynamic Simulations by Offloading Fast Fourier Transformations to FPGA. Universität Paderborn. bibtex: '@book{Ramaswami_2018, title={Accelerating Molecular Dynamic Simulations by Offloading Fast Fourier Transformations to FPGA}, publisher={Universität Paderborn}, author={Ramaswami, Arjun}, year={2018} }' chicago: Ramaswami, Arjun. Accelerating Molecular Dynamic Simulations by Offloading Fast Fourier Transformations to FPGA. Universität Paderborn, 2018. ieee: A. Ramaswami, Accelerating Molecular Dynamic Simulations by Offloading Fast Fourier Transformations to FPGA. Universität Paderborn, 2018. mla: Ramaswami, Arjun. Accelerating Molecular Dynamic Simulations by Offloading Fast Fourier Transformations to FPGA. Universität Paderborn, 2018. short: A. Ramaswami, Accelerating Molecular Dynamic Simulations by Offloading Fast Fourier Transformations to FPGA, Universität Paderborn, 2018. date_created: 2018-11-07T16:08:32Z date_updated: 2022-01-12T16:32:23Z ddc: - '000' department: - _id: '27' - _id: '518' file: - access_level: closed content_type: application/pdf creator: arjunr date_created: 2020-06-15T11:29:38Z date_updated: 2020-06-15T11:29:38Z file_id: '17093' file_name: masterthesis.pdf file_size: 1297585 relation: main_file success: 1 file_date_updated: 2020-06-15T11:29:38Z has_accepted_license: '1' keyword: - 'FFT: FPGA' - CP2K - OpenCL language: - iso: eng license: https://creativecommons.org/licenses/by-sa/4.0/ main_file_link: - open_access: '1' oa: '1' project: - _id: '1' name: SFB 901 - _id: '4' name: SFB 901 - Project Area C - _id: '14' name: SFB 901 - Subproject C2 publisher: Universität Paderborn status: public supervisor: - first_name: Christian full_name: Plessl, Christian id: '16153' last_name: Plessl orcid: 0000-0001-5728-9982 title: Accelerating Molecular Dynamic Simulations by Offloading Fast Fourier Transformations to FPGA type: mastersthesis user_id: '49171' year: '2018' ... --- _id: '1588' abstract: - lang: eng text: The exploration of FPGAs as accelerators for scientific simulations has so far mostly been focused on small kernels of methods working on regular data structures, for example in the form of stencil computations for finite difference methods. In computational sciences, often more advanced methods are employed that promise better stability, convergence, locality and scaling. Unstructured meshes are shown to be more effective and more accurate, compared to regular grids, in representing computation domains of various shapes. Using unstructured meshes, the discontinuous Galerkin method preserves the ability to perform explicit local update operations for simulations in the time domain. In this work, we investigate FPGAs as target platform for an implementation of the nodal discontinuous Galerkin method to find time-domain solutions of Maxwell's equations in an unstructured mesh. When maximizing data reuse and fitting constant coefficients into suitably partitioned on-chip memory, high computational intensity allows us to implement and feed wide data paths with hundreds of floating point operators. By decoupling off-chip memory accesses from the computations, high memory bandwidth can be sustained, even for the irregular access pattern required by parts of the application. Using the Intel/Altera OpenCL SDK for FPGAs, we present different implementation variants for different polynomial orders of the method. In different phases of the algorithm, either computational or bandwidth limits of the Arria 10 platform are almost reached, thus outperforming a highly multithreaded CPU implementation by around 2x. author: - first_name: Tobias full_name: Kenter, Tobias id: '3145' last_name: Kenter - first_name: Gopinath full_name: Mahale, Gopinath last_name: Mahale - first_name: Samer full_name: Alhaddad, Samer id: '42456' last_name: Alhaddad - first_name: Yevgen full_name: Grynko, Yevgen id: '26059' last_name: Grynko - first_name: Christian full_name: Schmitt, Christian last_name: Schmitt - first_name: Ayesha full_name: Afzal, Ayesha last_name: Afzal - first_name: Frank full_name: Hannig, Frank last_name: Hannig - first_name: Jens full_name: Förstner, Jens id: '158' last_name: Förstner orcid: 0000-0001-7059-9862 - first_name: Christian full_name: Plessl, Christian id: '16153' last_name: Plessl orcid: 0000-0001-5728-9982 citation: ama: 'Kenter T, Mahale G, Alhaddad S, et al. OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes. In: Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM). IEEE; 2018. doi:10.1109/FCCM.2018.00037' apa: Kenter, T., Mahale, G., Alhaddad, S., Grynko, Y., Schmitt, C., Afzal, A., Hannig, F., Förstner, J., & Plessl, C. (2018). OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes. Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM). Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM). https://doi.org/10.1109/FCCM.2018.00037 bibtex: '@inproceedings{Kenter_Mahale_Alhaddad_Grynko_Schmitt_Afzal_Hannig_Förstner_Plessl_2018, title={OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes}, DOI={10.1109/FCCM.2018.00037}, booktitle={Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)}, publisher={IEEE}, author={Kenter, Tobias and Mahale, Gopinath and Alhaddad, Samer and Grynko, Yevgen and Schmitt, Christian and Afzal, Ayesha and Hannig, Frank and Förstner, Jens and Plessl, Christian}, year={2018} }' chicago: Kenter, Tobias, Gopinath Mahale, Samer Alhaddad, Yevgen Grynko, Christian Schmitt, Ayesha Afzal, Frank Hannig, Jens Förstner, and Christian Plessl. “OpenCL-Based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes.” In Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM). IEEE, 2018. https://doi.org/10.1109/FCCM.2018.00037. ieee: 'T. Kenter et al., “OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes,” presented at the Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM), 2018, doi: 10.1109/FCCM.2018.00037.' mla: Kenter, Tobias, et al. “OpenCL-Based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes.” Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM), IEEE, 2018, doi:10.1109/FCCM.2018.00037. short: 'T. Kenter, G. Mahale, S. Alhaddad, Y. Grynko, C. Schmitt, A. Afzal, F. Hannig, J. Förstner, C. Plessl, in: Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM), IEEE, 2018.' conference: name: Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM) date_created: 2018-03-22T10:48:01Z date_updated: 2023-09-26T11:47:52Z ddc: - '000' department: - _id: '27' - _id: '518' - _id: '61' doi: 10.1109/FCCM.2018.00037 file: - access_level: closed content_type: application/pdf creator: ups date_created: 2018-11-02T14:45:05Z date_updated: 2018-11-02T14:45:05Z file_id: '5282' file_name: 08457652.pdf file_size: 269130 relation: main_file success: 1 file_date_updated: 2018-11-02T14:45:05Z has_accepted_license: '1' keyword: - tet_topic_hpc language: - iso: eng project: - _id: '33' grant_number: 01|H16005A name: HighPerMeshes - _id: '1' grant_number: '160364472' name: SFB 901 - _id: '4' name: SFB 901 - Project Area C - _id: '14' grant_number: '160364472' name: SFB 901 - Subproject C2 publication: Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM) publisher: IEEE quality_controlled: '1' status: public title: OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes type: conference user_id: '15278' year: '2018' ... --- _id: '1590' abstract: - lang: eng text: "We present the submatrix method, a highly parallelizable method for the approximate calculation of inverse p-th roots of large sparse symmetric matrices which are required in different scientific applications. Following the idea of Approximate Computing, we allow imprecision in the final result in order to utilize the sparsity of the input matrix and to allow massively parallel execution. For an n x n matrix, the proposed algorithm allows to distribute the calculations over n nodes with only little communication overhead. The result matrix exhibits the same sparsity pattern as the input matrix, allowing for efficient reuse of allocated data structures.\r\n\r\nWe evaluate the algorithm with respect to the error that it introduces into calculated results, as well as its performance and scalability. We demonstrate that the error is relatively limited for well-conditioned matrices and that results are still valuable for error-resilient applications like preconditioning even for ill-conditioned matrices. We discuss the execution time and scaling of the algorithm on a theoretical level and present a distributed implementation of the algorithm using MPI and OpenMP. We demonstrate the scalability of this implementation by running it on a high-performance compute cluster comprised of 1024 CPU cores, showing a speedup of 665x compared to single-threaded execution." author: - first_name: Michael full_name: Lass, Michael id: '24135' last_name: Lass orcid: 0000-0002-5708-7632 - first_name: Stephan full_name: Mohr, Stephan last_name: Mohr - first_name: Hendrik full_name: Wiebeler, Hendrik last_name: Wiebeler - first_name: Thomas full_name: Kühne, Thomas id: '49079' last_name: Kühne - first_name: Christian full_name: Plessl, Christian id: '16153' last_name: Plessl orcid: 0000-0001-5728-9982 citation: ama: 'Lass M, Mohr S, Wiebeler H, Kühne T, Plessl C. A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices. In: Proc. Platform for Advanced Scientific Computing (PASC) Conference. ACM; 2018. doi:10.1145/3218176.3218231' apa: Lass, M., Mohr, S., Wiebeler, H., Kühne, T., & Plessl, C. (2018). A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices. Proc. Platform for Advanced Scientific Computing (PASC) Conference. Platform for Advanced Scientific Computing Conference (PASC), Basel, Switzerland. https://doi.org/10.1145/3218176.3218231 bibtex: '@inproceedings{Lass_Mohr_Wiebeler_Kühne_Plessl_2018, place={New York, NY, USA}, title={A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices}, DOI={10.1145/3218176.3218231}, booktitle={Proc. Platform for Advanced Scientific Computing (PASC) Conference}, publisher={ACM}, author={Lass, Michael and Mohr, Stephan and Wiebeler, Hendrik and Kühne, Thomas and Plessl, Christian}, year={2018} }' chicago: 'Lass, Michael, Stephan Mohr, Hendrik Wiebeler, Thomas Kühne, and Christian Plessl. “A Massively Parallel Algorithm for the Approximate Calculation of Inverse P-Th Roots of Large Sparse Matrices.” In Proc. Platform for Advanced Scientific Computing (PASC) Conference. New York, NY, USA: ACM, 2018. https://doi.org/10.1145/3218176.3218231.' ieee: 'M. Lass, S. Mohr, H. Wiebeler, T. Kühne, and C. Plessl, “A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices,” presented at the Platform for Advanced Scientific Computing Conference (PASC), Basel, Switzerland, 2018, doi: 10.1145/3218176.3218231.' mla: Lass, Michael, et al. “A Massively Parallel Algorithm for the Approximate Calculation of Inverse P-Th Roots of Large Sparse Matrices.” Proc. Platform for Advanced Scientific Computing (PASC) Conference, ACM, 2018, doi:10.1145/3218176.3218231. short: 'M. Lass, S. Mohr, H. Wiebeler, T. Kühne, C. Plessl, in: Proc. Platform for Advanced Scientific Computing (PASC) Conference, ACM, New York, NY, USA, 2018.' conference: end_date: 2018-07-04 location: Basel, Switzerland name: Platform for Advanced Scientific Computing Conference (PASC) start_date: 2018-07-02 date_created: 2018-03-22T10:53:01Z date_updated: 2023-09-26T11:48:12Z department: - _id: '27' - _id: '518' - _id: '304' doi: 10.1145/3218176.3218231 external_id: arxiv: - '1710.10899' keyword: - approximate computing - linear algebra - matrix inversion - matrix p-th roots - numeric algorithm - parallel computing language: - iso: eng place: New York, NY, USA project: - _id: '32' grant_number: PL 595/2-1 / 320898746 name: Performance and Efficiency in HPC with Custom Computing - _id: '52' name: Computing Resources Provided by the Paderborn Center for Parallel Computing publication: Proc. Platform for Advanced Scientific Computing (PASC) Conference publication_identifier: isbn: - 978-1-4503-5891-0/18/07 publisher: ACM quality_controlled: '1' status: public title: A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices type: conference user_id: '15278' year: '2018' ... --- _id: '1204' author: - first_name: Heinrich full_name: Riebler, Heinrich id: '8961' last_name: Riebler - first_name: Gavin Francis full_name: Vaz, Gavin Francis id: '30332' last_name: Vaz - first_name: Tobias full_name: Kenter, Tobias id: '3145' last_name: Kenter - first_name: Christian full_name: Plessl, Christian id: '16153' last_name: Plessl orcid: 0000-0001-5728-9982 citation: ama: 'Riebler H, Vaz GF, Kenter T, Plessl C. Automated Code Acceleration Targeting Heterogeneous OpenCL Devices. In: Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP). ACM; 2018. doi:10.1145/3178487.3178534' apa: Riebler, H., Vaz, G. F., Kenter, T., & Plessl, C. (2018). Automated Code Acceleration Targeting Heterogeneous OpenCL Devices. Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP). https://doi.org/10.1145/3178487.3178534 bibtex: '@inproceedings{Riebler_Vaz_Kenter_Plessl_2018, title={Automated Code Acceleration Targeting Heterogeneous OpenCL Devices}, DOI={10.1145/3178487.3178534}, booktitle={Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP)}, publisher={ACM}, author={Riebler, Heinrich and Vaz, Gavin Francis and Kenter, Tobias and Plessl, Christian}, year={2018} }' chicago: Riebler, Heinrich, Gavin Francis Vaz, Tobias Kenter, and Christian Plessl. “Automated Code Acceleration Targeting Heterogeneous OpenCL Devices.” In Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP). ACM, 2018. https://doi.org/10.1145/3178487.3178534. ieee: 'H. Riebler, G. F. Vaz, T. Kenter, and C. Plessl, “Automated Code Acceleration Targeting Heterogeneous OpenCL Devices,” 2018, doi: 10.1145/3178487.3178534.' mla: Riebler, Heinrich, et al. “Automated Code Acceleration Targeting Heterogeneous OpenCL Devices.” Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP), ACM, 2018, doi:10.1145/3178487.3178534. short: 'H. Riebler, G.F. Vaz, T. Kenter, C. Plessl, in: Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP), ACM, 2018.' date_created: 2018-03-08T14:45:18Z date_updated: 2023-09-26T11:47:23Z ddc: - '000' department: - _id: '27' - _id: '518' doi: 10.1145/3178487.3178534 file: - access_level: closed content_type: application/pdf creator: ups date_created: 2018-11-02T14:43:37Z date_updated: 2018-11-02T14:43:37Z file_id: '5281' file_name: p417-riebler.pdf file_size: 447769 relation: main_file success: 1 file_date_updated: 2018-11-02T14:43:37Z has_accepted_license: '1' keyword: - htrop language: - iso: eng project: - _id: '1' grant_number: '160364472' name: SFB 901 - _id: '4' name: SFB 901 - Project Area C - _id: '14' grant_number: '160364472' name: SFB 901 - Subproject C2 publication: Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP) publication_identifier: isbn: - '9781450349826' publication_status: published publisher: ACM quality_controlled: '1' status: public title: Automated Code Acceleration Targeting Heterogeneous OpenCL Devices type: conference user_id: '15278' year: '2018' ...