{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T15:19:07Z","timestamp":1746803947896,"version":"3.40.5"},"reference-count":35,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001868","name":"National Science Council","doi-asserted-by":"publisher","award":["NSC 71031003"],"award-info":[{"award-number":["NSC 71031003"]}],"id":[{"id":"10.13039\/501100001868","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>The authors attempt to construct the exact finite-difference schemes for linear stochastic differential equations with constant coefficients. The explicit solutions to It\u00f4 and Stratonovich linear stochastic differential equations with constant coefficients are adopted with the view of providing exact finite-difference schemes to solve them. In particular, the authors utilize the exact finite-difference schemes of Stratonovich type linear stochastic differential equations to solve the Kubo oscillator that is widely used in physics. Further, the authors prove that the exact finite-difference schemes can preserve the symplectic structure and first integral of the Kubo oscillator. The authors also use numerical examples to prove the validity of the numerical methods proposed in this paper.<\/jats:p>","DOI":"10.1155\/2013\/830936","type":"journal-article","created":{"date-parts":[[2013,11,26]],"date-time":"2013-11-26T16:31:52Z","timestamp":1385483512000},"page":"1-6","source":"Crossref","is-referenced-by-count":2,"title":["Exact Finite-Difference Schemes for<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>d<\/mml:mi><\/mml:mrow><\/mml:math>-Dimensional Linear Stochastic Systems with Constant Coefficients"],"prefix":"10.1155","volume":"2013","author":[{"given":"Peng","family":"Jiang","sequence":"first","affiliation":[{"name":"Harbin Institute of Technology, Room 405, Apartment A11, 92 Xi Dazhi Street, Harbin, Heilongjiang 150001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaofeng","family":"Ju","sequence":"additional","affiliation":[{"name":"School of Management, Harbin Institute of 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