{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T21:53:31Z","timestamp":1725573211565},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540319948"},{"type":"electronic","value":"9783540319955"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11666806_6","type":"book-chapter","created":{"date-parts":[[2006,2,15]],"date-time":"2006-02-15T03:09:49Z","timestamp":1139972989000},"page":"67-75","source":"Crossref","is-referenced-by-count":0,"title":["Numerical Methods for Transport Problems in Microdevices"],"prefix":"10.1007","author":[{"given":"Assyr","family":"Abdulle","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sabine","family":"Attinger","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"6_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s002110100292","volume":"90","author":"A. Abdulle","year":"2001","unstructured":"Abdulle, A., Medovikov, A.A.: Second order Chebyshev methods based on orthogonal polynomials. Numer. Math.\u00a090, 1\u201318 (2001)","journal-title":"Numer. Math."},{"issue":"6","key":"6_CR2","doi-asserted-by":"publisher","first-page":"2041","DOI":"10.1137\/S1064827500379549","volume":"23","author":"A. Abdulle","year":"2002","unstructured":"Abdulle, A.: Fourth order Chebyshev methods with recurrence relation. SIAM SISC\u00a023(6), 2041\u20132054 (2002)","journal-title":"SIAM SISC"},{"key":"6_CR3","doi-asserted-by":"crossref","unstructured":"Abdulle, A., Attinger, S.: Homogenization methods for Transport of DNA particles in Heterogeneous Arrays. Lecture Notes in Computer Science and Engineering, vol.\u00a039, pp. 23\u201334 (2004)","DOI":"10.1007\/978-3-642-18756-8_2"},{"key":"6_CR4","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1137\/040607137","volume":"4","author":"A. Abdulle","year":"2005","unstructured":"Abdulle, A.: On a-priori error analysis of Fully Discrete Heterogeneous Multiscale FEM. SIAM Multiscale Model. Simul.\u00a04, 447\u2013459 (2005)","journal-title":"SIAM Multiscale Model. Simul."},{"key":"6_CR5","unstructured":"Abdulle, A.: Multiscale methods for advection-diffusion problems. AIMS Discrete and Continuous Dynamical Systems (2005) (to appear)"},{"key":"6_CR6","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1007\/s003390201336","volume":"75","author":"R.H. Austin","year":"2002","unstructured":"Austin, R.H., Darnton, N., Huang, R., Sturm, J., Bakajin, O., Duke, T.: Ratchets: the problems with boundary conditions in insulating fluids. Appl. Phys. A\u00a075, 279\u2013284 (2002)","journal-title":"Appl. Phys. A"},{"key":"6_CR7","unstructured":"Bensoussan, A., Lions, J.-L., Papanicolaou, G.: Asymptotic Analysis for Periodic Structures. North Holland, Amsterdam (1978)"},{"key":"6_CR8","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1002\/(SICI)1522-2683(20000101)21:1<81::AID-ELPS81>3.0.CO;2-#","volume":"21","author":"Chou","year":"2000","unstructured":"Chou, et al.: Sorting biomolecules with microdevices. Electrophoresis\u00a021, 81\u201390 (2000)","journal-title":"Electrophoresis"},{"issue":"7","key":"6_CR9","doi-asserted-by":"publisher","first-page":"1552","DOI":"10.1103\/PhysRevLett.80.1552","volume":"89","author":"T.A. Duke","year":"1998","unstructured":"Duke, T.A., Austin, R.H.: Microfabricated Sieve for the Continuous Sorting of Macromolecules. Phys. Rev. Lett.\u00a089(7), 1552\u20131555 (1998)","journal-title":"Phys. Rev. Lett."},{"issue":"7","key":"6_CR10","doi-asserted-by":"publisher","first-page":"1548","DOI":"10.1103\/PhysRevLett.80.1548","volume":"80","author":"D. Ertas","year":"1998","unstructured":"Ertas, D.: Lateral Separation of Macromolecules and Polyelectrolytes in Microlithographic Arrays. Phys. Rev. Lett.\u00a080(7), 1548\u20131551 (1998)","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"6_CR11","doi-asserted-by":"crossref","first-page":"87","DOI":"10.4310\/CMS.2003.v1.n1.a8","volume":"1","author":"E. Weinen","year":"2003","unstructured":"Weinen, E., Engquist, B.: The Heterogeneous Multi-Scale Methods. Comm. Math. Sci.\u00a01(1), 87\u2013132 (2003)","journal-title":"Comm. Math. Sci."},{"key":"6_CR12","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1090\/S0894-0347-04-00469-2","volume":"18","author":"E. Weinen","year":"2004","unstructured":"Weinen, E., Ming, P., Zhang, P.: Analysis of the heterogeneous multi-scale method for elliptic homogenization problems. J. Amer. Math. Soc.\u00a018, 121\u2013156 (2004)","journal-title":"J. Amer. Math. Soc."},{"key":"6_CR13","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/S0925-4005(03)00322-8","volume":"94","author":"S.K. Kassegne","year":"2003","unstructured":"Kassegne, S.K., et al.: Numerical modeling of transport and accumulation of DNA on electronically active biochips. Sensors and Actuators B\u00a094, 81\u201398 (2003)","journal-title":"Sensors and Actuators B"},{"key":"6_CR14","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/S0370-1573(98)00083-0","volume":"314","author":"A.J. Majda","year":"1999","unstructured":"Majda, A.J., Kramer, P.R.: Simplified models for turbulent diffusion: Theory, numerical modelling and physical phenomena. Physics Reports\u00a0314, 237\u2013574 (1999)","journal-title":"Physics Reports"},{"key":"6_CR15","doi-asserted-by":"crossref","unstructured":"Radtkey, R., et al.: Rapid, high fidelity analysis of simple sequence repeats on an electronically active DNA microchip. Nucleic Acids Research\u00a028(7) (2000)","DOI":"10.1093\/nar\/28.7.e17"},{"key":"6_CR16","volume-title":"Gel electrophoresis of the nucleid Acids: A Practical Approach","author":"D. Rickwood","year":"1990","unstructured":"Rickwood, D., Hames, B.D.: Gel electrophoresis of the nucleid Acids: A Practical Approach. Oxford University Press, Oxford (1990)"}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11666806_6.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,23]],"date-time":"2021-07-23T23:44:03Z","timestamp":1627083843000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11666806_6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540319948","9783540319955"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/11666806_6","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}