Chini, Gregory P.; Julien, Keith; Knobloch, Edgar An asymptotically reduced model of turbulent Langmuir circulation. (English) Zbl 1515.86004 Geophys. Astrophys. Fluid Dyn. 103, No. 2-3, 179-197 (2009). MSC: 86A05 76E20 76F05 PDFBibTeX XMLCite \textit{G. P. Chini} et al., Geophys. Astrophys. Fluid Dyn. 103, No. 2--3, 179--197 (2009; Zbl 1515.86004) Full Text: DOI
Debayle, Johan; Raihane, Ahmed; Belhaoua, Abdelkrim; Bonnefoy, Olivier; Thomas, Gérard; Chaix, Jean-Marc; Pinoli, Jean-Charles Velocity field computation in vibrated granular media using an optical flow based multiscale image analysis method. (English) Zbl 1356.76265 Image Anal. Stereol. 28, No. 1, 35-43 (2009). MSC: 76M27 76S05 PDFBibTeX XMLCite \textit{J. Debayle} et al., Image Anal. Stereol. 28, No. 1, 35--43 (2009; Zbl 1356.76265) Full Text: DOI
Owen, Markus R.; Alarcón, Tomás; Maini, Philip K.; Byrne, Helen M. Angiogenesis and vascular remodelling in normal and cancerous tissues. (English) Zbl 1311.92034 J. Math. Biol. 58, No. 4-5, 689-721 (2009). MSC: 92C15 92C17 92C35 62P10 PDFBibTeX XMLCite \textit{M. R. Owen} et al., J. Math. Biol. 58, No. 4--5, 689--721 (2009; Zbl 1311.92034) Full Text: DOI Link
Guo, L. Z.; Billings, S. A.; Coca, D. Identification of multiscale spatio-temporal dynamical systems using a wavelet multiresolution analysis. (English) Zbl 1292.93136 Int. J. Syst. Sci. 40, No. 11, 1115-1126 (2009). MSC: 93E12 93C70 93E24 PDFBibTeX XMLCite \textit{L. Z. Guo} et al., Int. J. Syst. Sci. 40, No. 11, 1115--1126 (2009; Zbl 1292.93136) Full Text: DOI
Evans, John A.; Hughes, Thomas J. R.; Sangalli, Giancarlo Enforcement of constraints and maximum principles in the variational multiscale method. (English) Zbl 1231.76238 Comput. Methods Appl. Mech. Eng. 199, No. 1-4, 61-76 (2009). MSC: 76M30 76R99 PDFBibTeX XMLCite \textit{J. A. Evans} et al., Comput. Methods Appl. Mech. Eng. 199, No. 1--4, 61--76 (2009; Zbl 1231.76238) Full Text: DOI
Lefik, M.; Boso, D. P.; Schrefler, B. A. Artificial neural networks in numerical modelling of composites. (English) Zbl 1227.74052 Comput. Methods Appl. Mech. Eng. 198, No. 21-26, 1785-1804 (2009). MSC: 74Q15 74S30 92B20 PDFBibTeX XMLCite \textit{M. Lefik} et al., Comput. Methods Appl. Mech. Eng. 198, No. 21--26, 1785--1804 (2009; Zbl 1227.74052) Full Text: DOI
Dambakizi, F.; Le Tallec, P.; Perlat, J. P. Multiscale thermomechanical modeling of shock-driven dry friction in hydrodynamics. (English) Zbl 1227.74038 Comput. Methods Appl. Mech. Eng. 198, No. 21-26, 1701-1715 (2009). MSC: 74M10 74J40 74S20 74F05 76L05 PDFBibTeX XMLCite \textit{F. Dambakizi} et al., Comput. Methods Appl. Mech. Eng. 198, No. 21--26, 1701--1715 (2009; Zbl 1227.74038) Full Text: DOI HAL
Tian, T. Effective stochastic simulation methods for chemical reaction systems. (English) Zbl 1220.65006 J. Numer. Math. Stoch. 1, No. 1, 85-101 (2009). MSC: 65C30 60H10 60H35 92E20 PDFBibTeX XMLCite \textit{T. Tian}, J. Numer. Math. Stoch. 1, No. 1, 85--101 (2009; Zbl 1220.65006)
Seidman, Thomas I. Feedback modal control of partial differential equations. (English) Zbl 1218.93035 Kunisch, Karl (ed.) et al., Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Basel: Birkhäuser (ISBN 978-3-7643-8922-2/hbk; 978-3-7643-8923-9/ebook). ISNM. International Series of Numerical Mathematics 158, 239-253 (2009). MSC: 93B52 93A30 93B12 47J40 70K70 93C20 93C70 PDFBibTeX XMLCite \textit{T. I. Seidman}, ISNM, Int. Ser. Numer. Math. 158, 239--253 (2009; Zbl 1218.93035)
Saether, E.; Yamakov, V.; Glaessgen, E. H. An embedded statistical method for coupling molecular dynamics and finite element analyses. (English) Zbl 1183.74311 Int. J. Numer. Methods Eng. 78, No. 11, 1292-1319 (2009). MSC: 74S05 74A25 PDFBibTeX XMLCite \textit{E. Saether} et al., Int. J. Numer. Methods Eng. 78, No. 11, 1292--1319 (2009; Zbl 1183.74311) Full Text: DOI Link
Masud, Arif; Kannan, Raguraman A multiscale framework for computational nanomechanics: application to the modeling of carbon nanotubes. (English) Zbl 1183.74293 Int. J. Numer. Methods Eng. 78, No. 7, 863-882 (2009). MSC: 74S05 74M25 PDFBibTeX XMLCite \textit{A. Masud} and \textit{R. Kannan}, Int. J. Numer. Methods Eng. 78, No. 7, 863--882 (2009; Zbl 1183.74293) Full Text: DOI
Carey, V.; Estep, D.; Tavener, S. A posteriori analysis and adaptive error control for multiscale operator decomposition solution of elliptic systems. I: Triangular systems. (English) Zbl 1186.65142 SIAM J. Numer. Anal. 47, No. 1, 740-761 (2009). MSC: 65N15 65N30 35J46 65N55 PDFBibTeX XMLCite \textit{V. Carey} et al., SIAM J. Numer. Anal. 47, No. 1, 740--761 (2009; Zbl 1186.65142) Full Text: DOI Link
Cotter, C. J.; Pavliotis, G. A. Estimating eddy diffusivities from noisy Lagrangian observations. (English) Zbl 1183.62143 Commun. Math. Sci. 7, No. 4, 805-838 (2009). MSC: 62M05 86A05 60H10 60H30 62F12 86A10 86A32 62P12 65C60 PDFBibTeX XMLCite \textit{C. J. Cotter} and \textit{G. A. Pavliotis}, Commun. Math. Sci. 7, No. 4, 805--838 (2009; Zbl 1183.62143) Full Text: DOI arXiv Euclid
Métivier, Guy The mathematics of nonlinear optics. (English) Zbl 1191.35263 Dafermos, C.M.(ed.) et al., Handbook of differential equations: Evolutionary equations. Vol. V. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53222-0/hbk). Handbook of Differential Equations, 169-313 (2009). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q60 35Q61 35L05 35L70 78A60 PDFBibTeX XMLCite \textit{G. Métivier}, in: Handbook of differential equations: Evolutionary equations. Vol. V. Amsterdam: Elsevier/North-Holland. 169--313 (2009; Zbl 1191.35263) Full Text: DOI
Pechstein, Clemens; Scheichl, Robert Scaling up through domain decomposition. (English) Zbl 1281.76040 Appl. Anal. 88, No. 10-11, 1589-1608 (2009). MSC: 76M25 35B27 65N55 74Q15 76S05 PDFBibTeX XMLCite \textit{C. Pechstein} and \textit{R. Scheichl}, Appl. Anal. 88, No. 10--11, 1589--1608 (2009; Zbl 1281.76040) Full Text: DOI
Nakano, Fumihiko Infinite divisibility of random measures associated to some random Schrödinger operators. (English) Zbl 1180.82106 Osaka J. Math. 46, No. 3, 845-862 (2009). MSC: 82B44 81Q10 PDFBibTeX XMLCite \textit{F. Nakano}, Osaka J. Math. 46, No. 3, 845--862 (2009; Zbl 1180.82106) Full Text: Euclid
Dell’Antonio, G. F. Limit motion on metric graphs. (English) Zbl 1180.81062 Adv. Nonlinear Stud. 9, No. 4, 701-711 (2009). MSC: 81Q10 35Q40 47N50 47A10 35J10 35P05 81Q35 PDFBibTeX XMLCite \textit{G. F. Dell'Antonio}, Adv. Nonlinear Stud. 9, No. 4, 701--711 (2009; Zbl 1180.81062)
Szlam, Arthur Asymptotic regularity of subdivisions of Euclidean domains by iterated PCA and iterated 2-means. (English) Zbl 1172.62315 Appl. Comput. Harmon. Anal. 27, No. 3, 342-350 (2009). MSC: 62H25 62H30 PDFBibTeX XMLCite \textit{A. Szlam}, Appl. Comput. Harmon. Anal. 27, No. 3, 342--350 (2009; Zbl 1172.62315) Full Text: DOI
Papavasiliou, A.; Pavliotis, G. A.; Stuart, A. M. Maximum likelihood drift estimation for multiscale diffusions. (English) Zbl 1171.62047 Stochastic Processes Appl. 119, No. 10, 3173-3210 (2009). MSC: 62M05 62F12 60H10 PDFBibTeX XMLCite \textit{A. Papavasiliou} et al., Stochastic Processes Appl. 119, No. 10, 3173--3210 (2009; Zbl 1171.62047) Full Text: DOI arXiv Link
Crolet, J. M.; Racila, M. Elaboration of assumptions for the fluid problem at microscopic scale in SiNuPrOs, mathematical model of cortical bone. (English) Zbl 1171.76474 Math. Comput. Modelling 49, No. 11-12, 2182-2190 (2009). MSC: 76Z05 76S05 92C50 PDFBibTeX XMLCite \textit{J. M. Crolet} and \textit{M. Racila}, Math. Comput. Modelling 49, No. 11--12, 2182--2190 (2009; Zbl 1171.76474) Full Text: DOI
Forgoston, Eric; Schwartz, Ira B. Escape rates in a stochastic environment with multiple scales. (English) Zbl 1204.37057 SIAM J. Appl. Dyn. Syst. 8, No. 3, 1190-1217 (2009). Reviewer: Katarina Janková (Bratislava) MSC: 37H10 60H10 93E03 PDFBibTeX XMLCite \textit{E. Forgoston} and \textit{I. B. Schwartz}, SIAM J. Appl. Dyn. Syst. 8, No. 3, 1190--1217 (2009; Zbl 1204.37057) Full Text: DOI arXiv
Braga, Gastão A.; Cioletti, Leandro M.; Sanchis, Rémy A remark on the decay of correlations for Mixed-range SPIN vector models. (English) Zbl 1175.82022 J. Stat. Phys. 136, No. 1, 195-198 (2009). MSC: 82B23 82D40 PDFBibTeX XMLCite \textit{G. A. Braga} et al., J. Stat. Phys. 136, No. 1, 195--198 (2009; Zbl 1175.82022) Full Text: DOI
Boumaza, Hakim Localization for a matrix-valued Anderson model. (English) Zbl 1183.47034 Math. Phys. Anal. Geom. 12, No. 3, 255-286 (2009). Reviewer: Miyeon Kwon (Platteville, WI) MSC: 47B80 37H15 PDFBibTeX XMLCite \textit{H. Boumaza}, Math. Phys. Anal. Geom. 12, No. 3, 255--286 (2009; Zbl 1183.47034) Full Text: DOI arXiv
Pesenson, Isaac Paley-Wiener approximations and multiscale approximations in Sobolev and Besov spaces on manifolds. (English) Zbl 1171.42016 J. Geom. Anal. 19, No. 2, 390-419 (2009). MSC: 42C05 41A17 41A65 43A85 46C99 PDFBibTeX XMLCite \textit{I. Pesenson}, J. Geom. Anal. 19, No. 2, 390--419 (2009; Zbl 1171.42016) Full Text: DOI
Ueki, M.; Fueda, K. A bias correction and acceleration approach for the problem of regions. (English) Zbl 1168.62039 J. Stat. Plann. Inference 139, No. 10, 3533-3542 (2009). MSC: 62G09 62G20 62G07 62H12 PDFBibTeX XMLCite \textit{M. Ueki} and \textit{K. Fueda}, J. Stat. Plann. Inference 139, No. 10, 3533--3542 (2009; Zbl 1168.62039) Full Text: DOI
Shreif, Z.; Adhangale, P.; Cheluvaraja, S.; Perera, R.; Kuhn, R.; Ortoleva, P. Enveloped viruses understood via multiscale simulation: computer-aided vaccine design. Reprinted from Scientific Modeling and Simulation 15, No. 1–3 (2008). (English) Zbl 1179.92031 Yip, Sidney (ed.) et al., Scientific modeling and simulations. Dordrecht: Springer (ISBN 978-1-4020-9740-9/hbk). Lecture Notes in Computational Science and Engineering 68, 363-380 (2009). MSC: 92C50 92C05 68U20 92C40 PDFBibTeX XMLCite \textit{Z. Shreif} et al., Lect. Notes Comput. Sci. Eng. 68, 363--380 (2009; Zbl 1179.92031)
Seidman, Thomas I. Some aspects of modeling with discontinuities. (English) Zbl 1171.93007 Int. J. Evol. Equ. 3, No. 4, 419-433 (2009). MSC: 93A30 93B12 47J40 70K70 93C70 PDFBibTeX XMLCite \textit{T. I. Seidman}, Int. J. Evol. Equ. 3, No. 4, 419--433 (2009; Zbl 1171.93007)
Faraj, A.; Mantile, A.; Nier, F. Double scale analysis of a Schröder-Poisson system with quantum wells and macroscopic nonlinearities in dimension 2 and 3. (English) Zbl 1163.35465 Asymptotic Anal. 62, No. 3-4, 163-205 (2009). MSC: 35Q40 PDFBibTeX XMLCite \textit{A. Faraj} et al., Asymptotic Anal. 62, No. 3--4, 163--205 (2009; Zbl 1163.35465)
Melicher, V.; Buša, J. jun. Numerical justification of asymptotic eddy-currents model for heterogeneous materials. (English) Zbl 1173.78322 Handlovičová, Angela (ed.) et al., Algoritmy 2009. 18th conference on scientific computing, Vysoké Tatry – Podbsanské, Slovakia, March 15–20, 2009. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry (ISBN 978-80-227-3032-7/pbk). 212-218 (2009). MSC: 78M35 78M40 78A30 PDFBibTeX XMLCite \textit{V. Melicher} and \textit{J. Buša jun.}, in: Algoritmy 2009. 18th conference on scientific computing, Vysoké Tatry -- Podbsanské, Slovakia, March 15--20, 2009. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. 212--218 (2009; Zbl 1173.78322)
Chavent, Guy Nonlinear least squares for inverse problems. Theoretical foundations and step-by-step guide for applications. (English) Zbl 1191.65062 Scientific Computation. Dordrecht: Springer (ISBN 978-90-481-2784-9/hbk). xiv, 360 p. (2009). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65J15 65-02 90-02 65J22 47J07 90C20 PDFBibTeX XMLCite \textit{G. Chavent}, Nonlinear least squares for inverse problems. Theoretical foundations and step-by-step guide for applications. Dordrecht: Springer (2009; Zbl 1191.65062)
Tao, Terence A quantitative version of the Besicovitch projection theorem via multiscale analysis. (English) Zbl 1173.28001 Proc. Lond. Math. Soc. (3) 98, No. 3, 559-584 (2009). MSC: 28A75 PDFBibTeX XMLCite \textit{T. Tao}, Proc. Lond. Math. Soc. (3) 98, No. 3, 559--584 (2009; Zbl 1173.28001) Full Text: DOI arXiv
Roy, Suman; Murthy, A. S. Vasudeva; Kudenatti, Ramesh B. A numerical method for the hyperbolic-heat conduction equation based on multiple scale technique. (English) Zbl 1162.65398 Appl. Numer. Math. 59, No. 6, 1419-1430 (2009). MSC: 65M70 35L15 65M60 PDFBibTeX XMLCite \textit{S. Roy} et al., Appl. Numer. Math. 59, No. 6, 1419--1430 (2009; Zbl 1162.65398) Full Text: DOI
Calder, C. A.; Craigmile, P. F.; Zhang, J. Regional spatial modeling of topsoil geochemistry. (English) Zbl 1159.62349 Biometrics 65, No. 1, 206-215 (2009). MSC: 62P12 86A32 62P10 PDFBibTeX XMLCite \textit{C. A. Calder} et al., Biometrics 65, No. 1, 206--215 (2009; Zbl 1159.62349) Full Text: DOI
Shlivinski, Amir; Heyman, Ehud Windowed Radon transform frames. (English) Zbl 1169.44003 Appl. Comput. Harmon. Anal. 26, No. 3, 322-343 (2009). Reviewer: Juan J. Trujillo (La Laguna) MSC: 44A12 42A38 PDFBibTeX XMLCite \textit{A. Shlivinski} and \textit{E. Heyman}, Appl. Comput. Harmon. Anal. 26, No. 3, 322--343 (2009; Zbl 1169.44003) Full Text: DOI
Ma, Xiang; Zabaras, Nicholas An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations. (English) Zbl 1161.65006 J. Comput. Phys. 228, No. 8, 3084-3113 (2009). MSC: 65C30 60H15 60H35 35R60 35C05 65N35 65N50 65N55 PDFBibTeX XMLCite \textit{X. Ma} and \textit{N. Zabaras}, J. Comput. Phys. 228, No. 8, 3084--3113 (2009; Zbl 1161.65006) Full Text: DOI
Ganapathysubramanian, B.; Zabaras, N. A stochastic multiscale framework for modeling flow through random heterogeneous porous media. (English) Zbl 1409.76139 J. Comput. Phys. 228, No. 2, 591-618 (2009). MSC: 76S05 76M35 65C30 PDFBibTeX XMLCite \textit{B. Ganapathysubramanian} and \textit{N. Zabaras}, J. Comput. Phys. 228, No. 2, 591--618 (2009; Zbl 1409.76139) Full Text: DOI
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II. (English) Zbl 1157.82046 J. Math. Soc. Japan 61, No. 1, 65-106 (2009). MSC: 82D37 35Q55 34L25 34L30 34L40 65L10 65Z05 81Q20 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., J. Math. Soc. Japan 61, No. 1, 65--106 (2009; Zbl 1157.82046) Full Text: DOI
Degasperis, A. Multiscale expansion and integrability of dispersive wave equations. (English) Zbl 1167.35046 Mikhailov, Alexander V., Integrability. Berlin: Springer (ISBN 978-3-540-88110-0/hbk; 978-3-540-88111-7/e-book). Lecture Notes in Physics 767, 215-244 (2009). Reviewer: Igor Andrianov (Köln) MSC: 35Q58 35Q55 35B20 PDFBibTeX XMLCite \textit{A. Degasperis}, Lect. Notes Phys. 767, 215--244 (2009; Zbl 1167.35046) Full Text: DOI
Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. Calculating effective diffusivities in the limit of vanishing molecular diffusion. (English) Zbl 1161.65007 J. Comput. Phys. 228, No. 4, 1030-1055 (2009). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 60H30 74H40 34E13 PDFBibTeX XMLCite \textit{G. A. Pavliotis} et al., J. Comput. Phys. 228, No. 4, 1030--1055 (2009; Zbl 1161.65007) Full Text: DOI arXiv Link
Webster, D. R.; Weissburg, M. J. The hydrodynamics of chemical cues among aquatic organisms. (English) Zbl 1166.76063 Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 41. Palo Alto, CA: Annual Reviews (ISBN 978-0-8243-0741-7/hbk). Annual Review of Fluid Mechanics 41, 73-90 (2009). MSC: 76Z99 76V05 76-02 92D40 PDFBibTeX XMLCite \textit{D. R. Webster} and \textit{M. J. Weissburg}, Annu. Rev. Fluid Mech. 41, 73--90 (2009; Zbl 1166.76063) Full Text: DOI
Boysen, Leif; Kempe, Angela; Liebscher, Volkmar; Munk, Axel; Wittich, Olaf Consistencies and rates of convergence of jump-penalized least squares estimators. (English) Zbl 1155.62034 Ann. Stat. 37, No. 1, 157-183 (2009). MSC: 62G20 62G05 41A25 41A10 62G08 60F05 PDFBibTeX XMLCite \textit{L. Boysen} et al., Ann. Stat. 37, No. 1, 157--183 (2009; Zbl 1155.62034) Full Text: DOI arXiv Euclid
Urban, Karsten Wavelet methods for elliptic partial differential equations. (English) Zbl 1158.65002 Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 978-0-19-852605-6/hbk). xxvii, 480 p. (2009). Reviewer: Michael Jung (Dresden) MSC: 65-02 65T60 65N30 65N22 42C40 PDFBibTeX XMLCite \textit{K. Urban}, Wavelet methods for elliptic partial differential equations. Oxford: Oxford University Press (2009; Zbl 1158.65002) Full Text: DOI Link
Efendiev, Yalchin; Hou, Thomas Y. Multiscale finite element methods. Theory and applications. (English) Zbl 1163.65080 Surveys and Tutorials in the Applied Mathematical Sciences 4. New York, NY: Springer (ISBN 978-0-387-09495-3/pbk; 978-0-387-09496-0/ebook). xii, 234 p. (2009). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65-02 35J25 35J65 35B27 65N55 65N12 PDFBibTeX XMLCite \textit{Y. Efendiev} and \textit{T. Y. Hou}, Multiscale finite element methods. Theory and applications. New York, NY: Springer (2009; Zbl 1163.65080) Full Text: DOI
Christofides, Panagiotis D.; Armaou, Antonios; Lou, Yiming; Varshney, Amit Control and optimization of multiscale process systems. (English) Zbl 1157.93001 Control Engineering. Boston, MA: Birkhäuser (ISBN 978-0-8176-4792-6/hbk). xx, 232 p. (2009). Reviewer: Kurt Marti (München) MSC: 93-02 93C20 93C95 93E03 60H15 PDFBibTeX XMLCite \textit{P. D. Christofides} et al., Control and optimization of multiscale process systems. Boston, MA: Birkhäuser (2009; Zbl 1157.93001)