{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T00:51:18Z","timestamp":1740099078931,"version":"3.37.3"},"publisher-location":"Cham","reference-count":11,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319780238"},{"type":"electronic","value":"9783319780245"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-78024-5_8","type":"book-chapter","created":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T08:28:25Z","timestamp":1521707305000},"page":"79-89","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Comparison of Accuracy and Efficiency of Parallel Solvers for Fractional Power Diffusion Problems"],"prefix":"10.1007","author":[{"given":"Raimondas","family":"\u010ciegis","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vadimas","family":"Starikovi\u010dius","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Svetozar","family":"Margenov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rima","family":"Kriauzien\u0117","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,3,23]]},"reference":[{"key":"8_CR1","doi-asserted-by":"crossref","first-page":"2083","DOI":"10.1090\/S0025-5718-2015-02937-8","volume":"84","author":"A Bonito","year":"2015","unstructured":"Bonito, A., Pasciak, J.: Numerical approximation of fractional powers of elliptic operators. Math. Comput. 84, 2083\u20132110 (2015)","journal-title":"Math. Comput."},{"key":"8_CR2","doi-asserted-by":"publisher","unstructured":"Harizanov, S., Lazarov, R., Margenov, S., Marinov, P., Vutov, Y.: Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Numer. Linear Algebra Appl. e2167 (2018). \nhttps:\/\/doi.org\/10.1002\/nla.2167","DOI":"10.1002\/nla.2167"},{"issue":"3","key":"8_CR3","doi-asserted-by":"crossref","first-page":"733","DOI":"10.1007\/s10208-014-9208-x","volume":"15","author":"R Nochetto","year":"2015","unstructured":"Nochetto, R., Ot\u00e1rola, E., Salgado, A.: A PDE approach to fractional diffusion in general domains: a priori error analysis. Found. Comput. Math. 15(3), 733\u2013791 (2015)","journal-title":"Found. Comput. Math."},{"key":"8_CR4","unstructured":"Nochetto, R., Ot\u00e1rola, E., Salgado, A.: A PDE approach to numerical fractional diffusion. In: Proceedings of the 8th ICIAM, Beijing, China, pp. 211\u2013236 (2015)"},{"issue":"2","key":"8_CR5","doi-asserted-by":"crossref","first-page":"220","DOI":"10.3846\/13926292.2016.1147000","volume":"21","author":"P Vabishchevich","year":"2016","unstructured":"Vabishchevich, P.: Numerical solving unsteady space-fractional problems with the square root of an elliptic operator. Math. Model. Anal. 21(2), 220\u2013238 (2016)","journal-title":"Math. Model. Anal."},{"issue":"2","key":"8_CR6","doi-asserted-by":"crossref","first-page":"281","DOI":"10.3846\/13926292.2014.910562","volume":"19","author":"R \u010ciegis","year":"2014","unstructured":"\u010ciegis, R., Tumanova, N.: On construction and analysis of finite difference schemes for pseudoparabolic problems with nonlocal boundary conditions. Math. Modell. Anal. 19(2), 281\u2013297 (2014)","journal-title":"Math. Modell. Anal."},{"key":"8_CR7","unstructured":"\u010ciegis, R., Starikovi\u010dius, V., Margenov, S.: On parallel numerical algorithms for fractional diffusion problems. In: Third NESUS Workshop, IICT-BAS, Sofia, Bulgaria, 6\u20137 Oct 2016, NESUS, ICT COST Action IC1305 (2016)"},{"key":"8_CR8","doi-asserted-by":"publisher","unstructured":"\u010ciegis, R., Starikovi\u010dius, V., Margenov, S., Kriauzien\u0117, R.: Parallel solvers for fractional power diffusion problems. Concurr. Comput.: Pract. Exp. 25(24) (2017). \nhttps:\/\/doi.org\/10.1002\/cpe.4216","DOI":"10.1002\/cpe.4216"},{"key":"8_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"632","DOI":"10.1007\/3-540-47789-6_66","volume-title":"Computational Science \u2014 ICCS 2002","author":"RD Falgout","year":"2002","unstructured":"Falgout, R.D., Yang, U.M.: Hypre: a library of high performance preconditioners. In: Sloot, P.M.A., Hoekstra, A.G., Tan, C.J.K., Dongarra, J.J. (eds.) ICCS 2002. LNCS, vol. 2331, pp. 632\u2013641. Springer, Heidelberg (2002). \nhttps:\/\/doi.org\/10.1007\/3-540-47789-6_66"},{"key":"8_CR10","series-title":"Lecture Notes in Computational Science and Engineering","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/3-540-31619-1_8","volume-title":"Numerical Solution of Partial Differential Equations on Parallel Computers","author":"R Falgout","year":"2006","unstructured":"Falgout, R., Jones, J., Yang, U.: The design and implementation of hypre, a library of parallel high performance preconditioners. In: Bruaset, A.M., Tveito, A. (eds.) Numerical Solution of Partial Differential Equations on Parallel Computers. LNCSE, pp. 267\u2013294. Springer, Heidelberg (2006). \nhttps:\/\/doi.org\/10.1007\/3-540-31619-1_8"},{"issue":"11","key":"8_CR11","doi-asserted-by":"crossref","first-page":"4204","DOI":"10.1007\/s11227-016-1733-8","volume":"72","author":"R \u010ciegis","year":"2016","unstructured":"\u010ciegis, R., Starikovi\u010dius, V., Tumanova, N., Ragulskis, M.: Application of distributed parallel computing for dynamic visual cryptography. J. Supercomput. 72(11), 4204\u20134220 (2016)","journal-title":"J. Supercomput."}],"container-title":["Lecture Notes in Computer Science","Parallel Processing and Applied Mathematics"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-78024-5_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T08:31:29Z","timestamp":1521707489000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-78024-5_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319780238","9783319780245"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-78024-5_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]}}}