Pub Date : 2020-09-21DOI: 10.1007/978-3-030-64616-5_12
A. Sysoyev, Maria Kocheganova, V. Gergel, E. Kozinov
{"title":"A Visual-Based Approach for Evaluating Global Optimization Methods","authors":"A. Sysoyev, Maria Kocheganova, V. Gergel, E. Kozinov","doi":"10.1007/978-3-030-64616-5_12","DOIUrl":"https://doi.org/10.1007/978-3-030-64616-5_12","url":null,"abstract":"","PeriodicalId":221771,"journal":{"name":"Russian Supercomputing Days","volume":"203 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115496205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-30DOI: 10.36227/techrxiv.12580301.v1
K. Isupov, V. Knyazkov
The binary32 and binary64 floating-point formats provide good performance on current hardware, but also introduce a rounding error in almost every arithmetic operation. Consequently, the accumulation of rounding errors in large computations can cause accuracy issues. One way to prevent these issues is to use multiple-precision floating-point arithmetic. This preprint, submitted to Russian Supercomputing Days 2020, presents a new library of basic linear algebra operations with multiple precision for graphics processing units. The library is written in CUDA C/C++ and uses the residue number system to represent multiple-precision significands of floating-point numbers. The supported data types, memory layout, and main features of the library are considered. Experimental results are presented showing the performance of the library.
{"title":"Multiple-Precision BLAS Library for Graphics Processing Units","authors":"K. Isupov, V. Knyazkov","doi":"10.36227/techrxiv.12580301.v1","DOIUrl":"https://doi.org/10.36227/techrxiv.12580301.v1","url":null,"abstract":"The binary32 and binary64 floating-point formats provide good performance on current hardware, but also introduce a rounding error in almost every arithmetic operation. Consequently, the accumulation of rounding errors in large computations can cause accuracy issues. One way to prevent these issues is to use multiple-precision floating-point arithmetic. This preprint, submitted to Russian Supercomputing Days 2020, presents a new library of basic linear algebra operations with multiple precision for graphics processing units. The library is written in CUDA C/C++ and uses the residue number system to represent multiple-precision significands of floating-point numbers. The supported data types, memory layout, and main features of the library are considered. Experimental results are presented showing the performance of the library.","PeriodicalId":221771,"journal":{"name":"Russian Supercomputing Days","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130112740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-07DOI: 10.1007/978-3-030-64616-5_33
A. V. Oleynichenko, A. Zaitsevskii, E. Eliav
{"title":"Towards High Performance Relativistic Electronic Structure Modelling: The EXP-T Program Package","authors":"A. V. Oleynichenko, A. Zaitsevskii, E. Eliav","doi":"10.1007/978-3-030-64616-5_33","DOIUrl":"https://doi.org/10.1007/978-3-030-64616-5_33","url":null,"abstract":"","PeriodicalId":221771,"journal":{"name":"Russian Supercomputing Days","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131812744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-09-23DOI: 10.1007/978-3-030-36592-9_37
P. Titov
{"title":"The Simulation of 3D Wave Fields in Complex Topography Media","authors":"P. Titov","doi":"10.1007/978-3-030-36592-9_37","DOIUrl":"https://doi.org/10.1007/978-3-030-36592-9_37","url":null,"abstract":"","PeriodicalId":221771,"journal":{"name":"Russian Supercomputing Days","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121133198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-09-23DOI: 10.1007/978-3-030-36592-9_32
E. Bazulin, A. Goncharsky, S. Romanov
{"title":"Solving Inverse Problems of Ultrasound Tomography in a Nondestructive Testing on a Supercomputer","authors":"E. Bazulin, A. Goncharsky, S. Romanov","doi":"10.1007/978-3-030-36592-9_32","DOIUrl":"https://doi.org/10.1007/978-3-030-36592-9_32","url":null,"abstract":"","PeriodicalId":221771,"journal":{"name":"Russian Supercomputing Days","volume":"115 25","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113940681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-09-23DOI: 10.1007/978-3-030-36592-9_10
A. Kotelnikov, I. Tsygvintsev, Mikhail V. Yakoboskiy, V. Gasilov
{"title":"Parallel Ray Tracing Algorithm for Numerical Analysis of Laser Radiation Absorption in a Plasma","authors":"A. Kotelnikov, I. Tsygvintsev, Mikhail V. Yakoboskiy, V. Gasilov","doi":"10.1007/978-3-030-36592-9_10","DOIUrl":"https://doi.org/10.1007/978-3-030-36592-9_10","url":null,"abstract":"","PeriodicalId":221771,"journal":{"name":"Russian Supercomputing Days","volume":"305 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124351572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-09-23DOI: 10.1007/978-3-030-36592-9_12
A. Andreev, V. Egunov
{"title":"Solving of Eigenvalue and Singular Value Problems via Modified Householder Transformations on Shared Memory Parallel Computing Systems","authors":"A. Andreev, V. Egunov","doi":"10.1007/978-3-030-36592-9_12","DOIUrl":"https://doi.org/10.1007/978-3-030-36592-9_12","url":null,"abstract":"","PeriodicalId":221771,"journal":{"name":"Russian Supercomputing Days","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133681860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}