Billy, Frédérique; Ribba, Benjamin; Saut, Olivier; Morre-Trouilhet, Hélène; Colin, Thierry; Bresch, Didier; Boissel, Jean-Pierre; Grenier, Emmanuel; Flandrois, Jean-Pierre A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy. (English) Zbl 1402.92050 J. Theor. Biol. 260, No. 4, 545-562 (2009). MSC: 92C15 92C50 92C37 35Q92 PDFBibTeX XMLCite \textit{F. Billy} et al., J. Theor. Biol. 260, No. 4, 545--562 (2009; Zbl 1402.92050) Full Text: DOI
Xiong, Liming; Chen, Youping Multiscale modeling and simulation of single-crystal mgo through an atomistic field theory. (English) Zbl 1236.74052 Int. J. Solids Struct. 46, No. 6, 1448-1455 (2009). MSC: 74E15 74A25 PDFBibTeX XMLCite \textit{L. Xiong} and \textit{Y. Chen}, Int. J. Solids Struct. 46, No. 6, 1448--1455 (2009; Zbl 1236.74052) Full Text: DOI
Abdulle, Assyr; Nonnenmacher, Achim A short and versatile finite element multiscale code for homogenization problems. (English) Zbl 1229.74125 Comput. Methods Appl. Mech. Eng. 198, No. 37-40, 2839-2859 (2009); erratum ibid. 199, No. 17-20, 1240 (2010). MSC: 74S05 74Q05 74E30 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{A. Nonnenmacher}, Comput. Methods Appl. Mech. Eng. 198, No. 37--40, 2839--2859 (2009; Zbl 1229.74125) Full Text: DOI
Bauman, Paul T.; Oden, J. Tinsley; Prudhomme, Serge Adaptive multiscale modeling of polymeric materials with Arlequin coupling and goals algorithms. (English) Zbl 1229.74006 Comput. Methods Appl. Mech. Eng. 198, No. 5-8, 799-818 (2009). MSC: 74A25 74S05 82D60 PDFBibTeX XMLCite \textit{P. T. Bauman} et al., Comput. Methods Appl. Mech. Eng. 198, No. 5--8, 799--818 (2009; Zbl 1229.74006) Full Text: DOI
Vdovina, Tetyana; Minkoff, Susan E.; Griffith, Sean M. L. A two-scale solution algorithm for the elastic wave equation. (English) Zbl 1204.35020 SIAM J. Sci. Comput. 31, No. 5, 3356-3386 (2009). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35A35 35L05 86-08 65M60 86A15 PDFBibTeX XMLCite \textit{T. Vdovina} et al., SIAM J. Sci. Comput. 31, No. 5, 3356--3386 (2009; Zbl 1204.35020) Full Text: DOI
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)
Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier A viscoelastic model for avascular tumor growth. (English) Zbl 1185.92059 Discrete Contin. Dyn. Syst. 2009, Suppl., 101-108 (2009). MSC: 92C50 92C37 76A10 PDFBibTeX XMLCite \textit{D. Bresch} et al., Discrete Contin. Dyn. Syst. 2009, 101--108 (2009; Zbl 1185.92059)
Xiong, Ruichang; Empting, Rebecca L.; Morris, Ian C.; Keffer, David J. Self-consistent multiscale modeling in the presence of inhomogeneous fields. (English) Zbl 1186.81142 Multiscale Model. Simul. 8, No. 1, 193-203 (2009). MSC: 81V55 82B80 82B30 PDFBibTeX XMLCite \textit{R. Xiong} et al., Multiscale Model. Simul. 8, No. 1, 193--203 (2009; Zbl 1186.81142) Full Text: DOI
Ying, Lexing; Fomel, Sergey Fast computation of partial Fourier transforms. (English) Zbl 1186.65166 Multiscale Model. Simul. 8, No. 1, 110-124 (2009). MSC: 65T50 86A15 65Y20 PDFBibTeX XMLCite \textit{L. Ying} and \textit{S. Fomel}, Multiscale Model. Simul. 8, No. 1, 110--124 (2009; Zbl 1186.65166) Full Text: DOI arXiv
Trovalusci, Patrizia; Capecchi, Danilo; Ruta, Giuseppe Genesis of the multiscale approach for materials with microstructure. (English) Zbl 1184.74007 Arch. Appl. Mech. 79, No. 11, 981-997 (2009). MSC: 74A25 74A60 PDFBibTeX XMLCite \textit{P. Trovalusci} et al., Arch. Appl. Mech. 79, No. 11, 981--997 (2009; Zbl 1184.74007) Full Text: DOI
Miroshnikov, Victor A. Spatiotemporal cascades of exposed and hidden perturbations of the Couette flow. (English) Zbl 1239.76039 Adv. Appl. Fluid Mech. 6, No. 2, 141-165 (2009). MSC: 76F05 76F10 76F06 76F55 PDFBibTeX XMLCite \textit{V. A. Miroshnikov}, Adv. Appl. Fluid Mech. 6, No. 2, 141--165 (2009; Zbl 1239.76039) Full Text: Link
Nobile, F. Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models. (English) Zbl 1171.76436 Math. Comput. Modelling 49, No. 11-12, 2152-2160 (2009). MSC: 76M25 92C35 76Z05 PDFBibTeX XMLCite \textit{F. Nobile}, Math. Comput. Modelling 49, No. 11--12, 2152--2160 (2009; Zbl 1171.76436) Full Text: DOI
Passerini, Tiziano; Luca, Mariarita de; Formaggia, Luca; Quarteroni, Alfio; Veneziani, Alessandro A 3D/1D geometrical multiscale model of cerebral vasculature. (English) Zbl 1168.76394 J. Eng. Math. 64, No. 4, 319-330 (2009). MSC: 76Z05 92C35 PDFBibTeX XMLCite \textit{T. Passerini} et al., J. Eng. Math. 64, No. 4, 319--330 (2009; Zbl 1168.76394) Full Text: DOI
Kwon, Sungjin; Lee, Youngmin; Park, Jong Youn; Sohn, Dongwoo; Lim, Jae Hyuk; Im, Seyoung An efficient three-dimensional adaptive quasicontinuum method using variable-node elements. (English) Zbl 1169.82308 J. Comput. Phys. 228, No. 13, 4789-4810 (2009). MSC: 82B80 81V45 65N50 PDFBibTeX XMLCite \textit{S. Kwon} et al., J. Comput. Phys. 228, No. 13, 4789--4810 (2009; Zbl 1169.82308) Full Text: DOI
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)
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
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
Bobaru, Florin; Yang, Mijia; Alves, Leonardo Frota; Silling, Stewart A.; Askari, Ebrahim; Xu, Jifeng Convergence, adaptive refinement, and scaling in 1D peridynamics. (English) Zbl 1156.74399 Int. J. Numer. Methods Eng. 77, No. 6, 852-877 (2009). MSC: 74S99 74B99 PDFBibTeX XMLCite \textit{F. Bobaru} et al., Int. J. Numer. Methods Eng. 77, No. 6, 852--877 (2009; Zbl 1156.74399) 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