{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,24]],"date-time":"2026-10-24T03:41:40Z","timestamp":1792813300734,"version":"4.5.0"},"reference-count":45,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11771162"],"award-info":[{"award-number":["11771162"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12231003"],"award-info":[{"award-number":["12231003"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2023,12,31]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>It is challenging to numerically solve oscillatory Hamiltonian systems due to the stiffness of the problems and the requirement of highly stable and energy-preserving schemes. The previously constructed numerical schemes are generally fully implicit and thus result in a considerable computational cost in long-time integrations. In this paper, a family of explicit and energy-conserving schemes are presented for solving oscillatory Hamiltonian systems. These schemes are developed by using the idea of the construction of exponential Rosenbrock-type (ER) methods and relaxation techniques. The novel relaxation methods can be high-order accurate and have better long-time numerical behavior than the corresponding ER methods. Several numerical experiments on typical models are given to demonstrate the efficiency of the proposed methods.<\/jats:p>","DOI":"10.1137\/22m1511345","type":"journal-article","created":{"date-parts":[[2023,11,21]],"date-time":"2023-11-21T08:05:45Z","timestamp":1700553945000},"page":"A2886-A2911","source":"Crossref","is-referenced-by-count":49,"title":["Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems"],"prefix":"10.1137","volume":"45","author":[{"given":"Dongfang","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China, and Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan, 430074, China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaoxi","family":"Li","sequence":"additional","affiliation":[{"name":"Corresponding author. 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