{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T14:25:12Z","timestamp":1742912712207,"version":"3.40.3"},"publisher-location":"Singapore","reference-count":14,"publisher":"Springer Singapore","isbn-type":[{"type":"print","value":"9789811623769"},{"type":"electronic","value":"9789811623776"}],"license":[{"start":{"date-parts":[[2021,9,24]],"date-time":"2021-09-24T00:00:00Z","timestamp":1632441600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,9,24]],"date-time":"2021-09-24T00:00:00Z","timestamp":1632441600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-981-16-2377-6_29","type":"book-chapter","created":{"date-parts":[[2021,9,24]],"date-time":"2021-09-24T01:44:09Z","timestamp":1632447849000},"page":"297-308","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Symmetric Splitting Methods for Wave Equations: First Approaches"],"prefix":"10.1007","author":[{"given":"J\u00fcrgen","family":"Geiser","sequence":"first","affiliation":[]},{"given":"Abdullah","family":"Mujahid","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,9,24]]},"reference":[{"key":"29_CR1","doi-asserted-by":"crossref","unstructured":"Geiser J (2007) Iterative operator-splitting methods with higher order time-integration methods and applications for parabolic partial differential equations. J Comput Appl Math (accepted)","DOI":"10.1002\/pamm.200700613"},{"key":"29_CR2","doi-asserted-by":"crossref","unstructured":"Geiser J (2011) Computing exponential for iterative splitting methods: algorithms and applications. J Appl Math 2011(Article ID 193781):27","DOI":"10.1155\/2011\/193781"},{"key":"29_CR3","unstructured":"Geiser J, Noack L (2007) Iterative operator-splitting methods for wave-equations with stability results and numerical examples, Preprint 2007\u201310 of Humboldt University of Berlin. Department of Mathematics, Germany"},{"key":"29_CR4","doi-asserted-by":"crossref","unstructured":"Geiser J (2016) Multicomponent and multiscale systems: theory, methods, and applications in engineering. Springer, Cham, Heidelberg, New York, Dordrecht, London","DOI":"10.1007\/978-3-319-15117-5"},{"key":"29_CR5","doi-asserted-by":"crossref","unstructured":"Hairer E, Lubich C, Wanner G (2002) Geometric numerical integration. SCM, Springer, Berlin, Heidelberg, New York, No. 31","DOI":"10.1007\/978-3-662-05018-7"},{"key":"29_CR6","doi-asserted-by":"crossref","unstructured":"Hosseini R, Tatari M (2019) Some splitting methods for hyperbolic PDEs. Appl Numer Math (available online)","DOI":"10.1016\/j.apnum.2019.07.005"},{"key":"29_CR7","doi-asserted-by":"crossref","unstructured":"Jackson JD (1998) Classical electrodynamics, 3rd edn. Wiley","DOI":"10.1119\/1.19136"},{"issue":"2","key":"29_CR8","doi-asserted-by":"publisher","first-page":"636","DOI":"10.1006\/jcph.2001.6901","volume":"173","author":"KH Karlsen","year":"2001","unstructured":"Karlsen KH, Lie K-A, Natvig JR, Nordhaug HF, Dahle HK (2001) Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies. J Comput Phys 173(2):636\u2013663","journal-title":"J Comput Phys"},{"key":"29_CR9","doi-asserted-by":"crossref","unstructured":"McLachlan RI, Quispel GRW (2002) Splitting methods. Acta Numer 341\u2013434","DOI":"10.1017\/CBO9780511550140.005"},{"key":"29_CR10","doi-asserted-by":"publisher","first-page":"140","DOI":"10.1006\/jcph.2000.6495","volume":"161","author":"B Sportisse","year":"2000","unstructured":"Sportisse B (2000) An analysis of operator splitting techniques in the stiff case. J Comput Phys 161:140\u2013168","journal-title":"J Comput Phys"},{"key":"29_CR11","doi-asserted-by":"crossref","unstructured":"Stoer J, Bulirsch R (1980) Introduction to numerical analysis. Springer, New York","DOI":"10.1007\/978-1-4757-5592-3"},{"key":"29_CR12","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1137\/0705041","volume":"5","author":"G Strang","year":"1968","unstructured":"Strang G (1968) On the construction and comparison of difference schemes. SIAM J Numer Anal 5:506\u2013517","journal-title":"SIAM J Numer Anal"},{"issue":"3","key":"29_CR13","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1137\/120897572","volume":"56","author":"G Strang","year":"2014","unstructured":"Strang G, MacNamara S (2014) Functions of difference matrices are Toeplitz plus Hankel. SIAM Rev 56(3):525\u2013546","journal-title":"SIAM Rev"},{"key":"29_CR14","doi-asserted-by":"crossref","unstructured":"Yoshida H (1990) Construction of higher order symplectic integrators. Phys Lett A 150(5, 6, 7)","DOI":"10.1016\/0375-9601(90)90092-3"}],"container-title":["Lecture Notes in Networks and Systems","Proceedings of Sixth International Congress on Information and Communication Technology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-16-2377-6_29","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,9]],"date-time":"2023-11-09T08:51:16Z","timestamp":1699519876000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-981-16-2377-6_29"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9,24]]},"ISBN":["9789811623769","9789811623776"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-981-16-2377-6_29","relation":{},"ISSN":["2367-3370","2367-3389"],"issn-type":[{"type":"print","value":"2367-3370"},{"type":"electronic","value":"2367-3389"}],"subject":[],"published":{"date-parts":[[2021,9,24]]},"assertion":[{"value":"24 September 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}