{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T22:15:34Z","timestamp":1725574534664},"publisher-location":"Berlin, Heidelberg","reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540210900"},{"type":"electronic","value":"9783540245889"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2004]]},"DOI":"10.1007\/978-3-540-24588-9_13","type":"book-chapter","created":{"date-parts":[[2011,1,8]],"date-time":"2011-01-08T18:33:35Z","timestamp":1294511615000},"page":"128-135","source":"Crossref","is-referenced-by-count":3,"title":["A New Quasi-Monte Carlo Algorithm for Numerical Integration of Smooth Functions"],"prefix":"10.1007","author":[{"given":"Emanouil I.","family":"Atanassov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ivan T.","family":"Dimov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mariya K.","family":"Durchova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"2","key":"13_CR1","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1515\/mcma.1999.5.2.149","volume":"5","author":"E. Atanassov","year":"1999","unstructured":"Atanassov, E., Dimov, I.: A new optimal Monte Carlo method for calculating integrals of smooth functions. Monte Carlo Methods and Applications\u00a05(2), 149\u2013167 (1999)","journal-title":"Monte Carlo Methods and Applications"},{"key":"13_CR2","first-page":"3","volume":"4","author":"N.S. Bachvalov","year":"1959","unstructured":"Bachvalov, N.S.: On the approximate computation of multiple integrals. Vestnik Moscow State University, Ser. Mat., Mech.\u00a04, 3\u201318 (1959)","journal-title":"Vestnik Moscow State University, Ser. Mat., Mech."},{"issue":"1","key":"13_CR3","first-page":"64","volume":"1","author":"N.S. Bachvalov","year":"1961","unstructured":"Bachvalov, N.S.: Average Estimation of the Remainder Term of Quadrature Formulas. USSR Comput. Math. and Math. Phys.\u00a01(1), 64\u201377 (1961)","journal-title":"USSR Comput. Math. and Math. Phys."},{"key":"13_CR4","doi-asserted-by":"crossref","first-page":"27","DOI":"10.21314\/JCF.1997.005","volume":"1","author":"R.E. Caflisch","year":"1997","unstructured":"Caflisch, R.E., Morokoff, W., Owen, A.B.: Valuations of mortgage backed securities using Brownian bridges to reduce effective dimension. Journal of Computational Finance\u00a01, 27\u201346 (1997)","journal-title":"Journal of Computational Finance"},{"key":"13_CR5","unstructured":"Capstick, S., Keister, B.D.: Multi dimensional Quadrature Algorithms at Higher Degree and\/or Dimension, \n                    \n                      http:\/\/www.scri.fsu.edu\/~capstick\/papers\/quad.ps"},{"key":"13_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1007\/3-540-36487-0_10","volume-title":"Numerical Methods and Applications","author":"I. Dimov","year":"2003","unstructured":"Dimov, I., Karaivanova, A., Georgieva, R., Ivanovska, S.: Parallel Importance Separation and Adaptive Monte Carlo Algorithms for Multiple Integrals. In: Dimov, I.T., Lirkov, I., Margenov, S., Zlatev, Z. (eds.) NMA 2002. LNCS, vol.\u00a02542, pp. 99\u2013107. Springer, Heidelberg (2003)"},{"key":"13_CR7","series-title":"Lecture Notes on Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0093404","volume-title":"Sequences, Discrepancies and Applications","author":"M. Drmota","year":"1997","unstructured":"Drmota, M., Tichy, R.F.: Sequences, Discrepancies and Applications. Lecture Notes on Mathematics, vol.\u00a01651. Springer, Berlin (1997)"},{"key":"13_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1515\/mcma.1998.4.1.1","volume":"4","author":"K. Entacher","year":"1998","unstructured":"Entacher, K., Uhl, A., Wegenkittl, S.: Linear congruential generators for parallel Monte Carlo: the leap-frog case. Monte Carlo Meth. Appl.\u00a04, 1\u201316 (1998)","journal-title":"Monte Carlo Meth. Appl."},{"key":"13_CR9","volume-title":"Uniform distribution of sequences","author":"L. Kuipers","year":"1974","unstructured":"Kuipers, L., Niederreiter, H.: Uniform distribution of sequences. John Wiley & sons, New York (1974)"},{"key":"13_CR10","volume-title":"Handbook of Numerical Analysis, Solution of Equations in R n (Part 2)","author":"N. Kjurkchiev","year":"1994","unstructured":"Kjurkchiev, N., Sendov, B.I., Andreev, A.: Numerical Solution of Polynomial Equations. In: Ciarlet, P.G., Lions, J.L. (eds.) Handbook of Numerical Analysis, Solution of Equations in R\n                           \n                    n\n                   (Part 2), vol.\u00a03, North-Holland, Amsterdam (1994)"},{"key":"13_CR11","volume-title":"Matrix Computations","author":"C. Loan Van","year":"1996","unstructured":"Van Loan, C., Golub, G.: Matrix Computations, 3rd edn. The John Hopkins University Press, Baltimore (1996)","edition":"3"},{"issue":"4","key":"13_CR12","doi-asserted-by":"publisher","first-page":"1541","DOI":"10.1214\/aos\/1031594731","volume":"25","author":"A.B. Owen","year":"1997","unstructured":"Owen, A.B.: Scrambled Net Variance for Integrals of Smooth Functions. Annals of Statistics\u00a025(4), 1541\u20131562 (1997)","journal-title":"Annals of Statistics"},{"key":"13_CR13","unstructured":"Owen, A.B.: The dimension distribution and quadrature test functions (November 2001), \n                    \n                      wwwstat.stanford.edu\/~owen\/reports"},{"key":"13_CR14","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1016\/S0378-4754(00)00268-8","volume":"55","author":"W.C. Schmid","year":"2001","unstructured":"Schmid, W.C., Uhl, A.: Techniques for parallel quasi-Monte Carlo integration with digital sequences and associated problems. Math. and Comp. in Sim.\u00a055, 249\u2013257 (2001)","journal-title":"Math. and Comp. in Sim."},{"issue":"3-6","key":"13_CR15","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1016\/S0378-4754(02)00250-1","volume":"62","author":"R. Schuerer","year":"2003","unstructured":"Schuerer, R.: A comparison between (quasi-)Monte Carlo and cubature rule based method for solving high-dimensional integration problems. Math. and Comp. in Sim.\u00a062(3-6), 509\u2013517 (2003)","journal-title":"Math. and Comp. in Sim."},{"key":"13_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/jcom.1997.0463","volume":"14","author":"I.H. Sloan","year":"1998","unstructured":"Sloan, I.H., Wozniakowski, H.: When are quasi-Monte Carlo Algorithms efficient in high-dimensional integration. Journal of Complexity\u00a014, 1\u201333 (1998)","journal-title":"Journal of Complexity"},{"key":"13_CR17","volume-title":"Monte Carlo Methods","author":"M. Sobo\u013a","year":"1973","unstructured":"Sobo\u013a, M.: Monte Carlo Methods. Nauka, Moscow (1973)"},{"issue":"3-6","key":"13_CR18","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1016\/S0378-4754(02)00228-8","volume":"62","author":"M. Sobo\u013a","year":"2003","unstructured":"Sobo\u013a, M., Asotsky, D.I.: One more experiment on estimating high-dimensional integrals by quasi-Monte Carlo methods. Math. and Comp. in Sim.\u00a062(3-6), 255\u2013275 (2003)","journal-title":"Math. and Comp. in Sim."},{"key":"13_CR19","unstructured":"Software\/MULTST, \n                    \n                      http:\/\/www.math.wsu.edu\/math\/faculty\/genz\/homepage"},{"key":"13_CR20","first-page":"231","volume":"6","author":"M.D. Takev","year":"1992","unstructured":"Takev, M.D.: On Probable Error of the Monte Carlo Method for Numerical Integration. Mathematica Balkanica (New Series)\u00a06, 231\u2013235 (1992)","journal-title":"Mathematica Balkanica (New Series)"}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-24588-9_13","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,23]],"date-time":"2019-03-23T12:54:40Z","timestamp":1553345680000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-24588-9_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004]]},"ISBN":["9783540210900","9783540245889"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-24588-9_13","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2004]]}}}