{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T03:17:53Z","timestamp":1742959073538,"version":"3.40.3"},"publisher-location":"Cham","reference-count":17,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030823962"},{"type":"electronic","value":"9783030823979"}],"license":[{"start":{"date-parts":[[2021,12,15]],"date-time":"2021-12-15T00:00:00Z","timestamp":1639526400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,12,15]],"date-time":"2021-12-15T00:00:00Z","timestamp":1639526400000},"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\/978-3-030-82397-9_23","type":"book-chapter","created":{"date-parts":[[2021,12,14]],"date-time":"2021-12-14T06:02:31Z","timestamp":1639461751000},"page":"439-450","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Improved Stochastic Approaches for\u00a0Evaluation of the Wigner Kernel"],"prefix":"10.1007","author":[{"given":"Venelin","family":"Todorov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ivan","family":"Dimov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stoyan","family":"Poryazov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,12,15]]},"reference":[{"key":"23_CR1","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1145\/210232.210233","volume":"17","author":"J Berntsen","year":"1991","unstructured":"Berntsen, J., Espelid, T.O., Genz, A.: An adaptive algorithm for the approximate calculation of multiple integrals. ACM Trans. Math. Softw. 17, 437\u2013451 (1991)","journal-title":"ACM Trans. Math. Softw."},{"key":"23_CR2","doi-asserted-by":"crossref","unstructured":"Davis P.J., Rabinowitz P.: Methods of Numerical Integration, 2nd edn. Academic, London (1984)","DOI":"10.1016\/B978-0-12-206360-2.50012-1"},{"key":"23_CR3","unstructured":"Dimov I.: Monte Carlo Methods for Applied Scientists, New Jersey, London, Singapore, World Scientific, 291 p., (2008) ISBN-10 981-02-2329-3"},{"key":"23_CR4","doi-asserted-by":"crossref","unstructured":"Dimov, I., Karaivanova, A., Georgieva, R., Ivanovska, S.: Parallel Importance Separation and Adaptive Monte Carlo Algorithms for Multiple Integrals. Springer Lecture Notes in Computer Science, vol. 2542, pp. 99\u2013107 (2003)","DOI":"10.1007\/3-540-36487-0_10"},{"issue":"3","key":"23_CR5","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1016\/j.matcom.2009.09.005","volume":"81","author":"I Dimov","year":"2010","unstructured":"Dimov, I., Georgieva, R.: Monte Carlo algorithms for evaluating sobol\u2019 sensitivity indices. Math. Comput. Simul. 81(3), 506\u2013514 (2010)","journal-title":"Math. Comput. Simul."},{"key":"23_CR6","volume-title":"Monte Carlo Methods and Mixed Problems","author":"SM Ermakov","year":"1985","unstructured":"Ermakov, S.M.: Monte Carlo Methods and Mixed Problems. Nauka, Moscow (1985)"},{"key":"23_CR7","doi-asserted-by":"crossref","unstructured":"Feynman, R.P.: Space-time approach to non-relativistic quantum mechanics. Rev. Mod Phys. 20 (1948)","DOI":"10.1103\/RevModPhys.20.367"},{"key":"23_CR8","doi-asserted-by":"crossref","unstructured":"Georgiev, I., et al.: Comparison of heuristic algorithms for solving a specific model of transportation problem. In: AIP Conference Proceedings, vol. 2302. No. 1. AIP Publishing LLC (2020)","DOI":"10.1063\/5.0033505"},{"key":"23_CR9","doi-asserted-by":"publisher","first-page":"254","DOI":"10.1016\/j.jcp.2015.05.036","volume":"297","author":"JM Sellier","year":"2015","unstructured":"Sellier, J.M.: A signed particle formulation of non-relativistic quantum mechanics. J. Comput. Phys. 297, 254\u2013265 (2015)","journal-title":"J. Comput. Phys."},{"key":"23_CR10","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/j.physa.2016.07.002","volume":"463","author":"JM Sellier","year":"2016","unstructured":"Sellier, J.M., Dimov, I.: On a full Monte Carlo approach to quantum mechanics. Phys. A 463, 45\u201362 (2016)","journal-title":"Phys. A"},{"key":"23_CR11","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1016\/j.jcp.2014.05.039","volume":"273","author":"JM Sellier","year":"2014","unstructured":"Sellier, J.M., Dimov, I.: The many-body Wigner Monte Carlo method for time-dependent ab-initio quantum simulations. J. Comput. Phys. 273, 589\u2013597 (2014)","journal-title":"J. Comput. Phys."},{"key":"23_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.physrep.2015.03.001","volume":"577","author":"JM Sellier","year":"2015","unstructured":"Sellier, J.M., Nedjalkov, M., Dimov, I.: An introduction to applied quantum mechanics in the Wigner Monte Carlo formalism. Phys. Rep. 577, 1\u201334 (2015)","journal-title":"Phys. Rep."},{"key":"23_CR13","doi-asserted-by":"publisher","first-page":"711","DOI":"10.4208\/cicp.080509.310310s","volume":"9","author":"S Shao","year":"2011","unstructured":"Shao, S., Lu, T., Cai, W.: Adaptive conservative cell average spectral element methods for transient Wigner equation in quantum transport. Commun. Comput. Phys. 9, 711\u2013739 (2011)","journal-title":"Commun. Comput. Phys."},{"key":"23_CR14","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1016\/j.jcp.2015.08.002","volume":"300","author":"S Shao","year":"2015","unstructured":"Shao, S., Sellier, J.M.: Comparison of deterministic and stochastic methods for time-dependent Wigner simulations. J. Comput. Phys. 300, 167\u2013185 (2015)","journal-title":"J. Comput. Phys."},{"key":"23_CR15","doi-asserted-by":"crossref","unstructured":"Todorov, V., Dimov, I., Georgieva, R., Dimitrov, S.: Adaptive Monte Carlo algorithm for Wigner kernel evaluation. Neural Computing and Applications, 1\u201312 (2019)","DOI":"10.1007\/s00521-019-04519-9"},{"key":"23_CR16","doi-asserted-by":"crossref","unstructured":"Xiong, Y., Chen, Z., Shao, S.: An advective-spectral-mixed method for time-dependent many-body Wigner simulations. SIAM J. Sci. Comput. (2016). arXiv:1602.08853","DOI":"10.1137\/15M1051373"},{"key":"23_CR17","doi-asserted-by":"publisher","first-page":"749","DOI":"10.1103\/PhysRev.40.749","volume":"40","author":"E Wigner","year":"1932","unstructured":"Wigner, E.: On the quantum correction for thermodynamic equilibrium. Phys. Rev. 40, 749 (1932)","journal-title":"Phys. Rev."}],"container-title":["Studies in Computational Intelligence","Recent Advances in Computational Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-82397-9_23","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,14]],"date-time":"2021-12-14T06:10:48Z","timestamp":1639462248000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-82397-9_23"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,15]]},"ISBN":["9783030823962","9783030823979"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-82397-9_23","relation":{},"ISSN":["1860-949X","1860-9503"],"issn-type":[{"type":"print","value":"1860-949X"},{"type":"electronic","value":"1860-9503"}],"subject":[],"published":{"date-parts":[[2021,12,15]]},"assertion":[{"value":"15 December 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"WCO","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"The Workshop on Computational Optimization","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2020","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"6 September 2020","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9 September 2020","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"wco2020","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/fedcsis.org\/2020\/wco","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}