Braun, Julian; Buze, Maciej; Ortner, Christoph The effect of crystal symmetries on the locality of screw dislocation cores. (English) Zbl 1428.35572 SIAM J. Math. Anal. 51, No. 2, 1108-1136 (2019). Reviewer: Adina Chirila (Brasov) MSC: 35Q74 49N60 70C20 74B20 74G10 74G65 74E15 PDF BibTeX XML Cite \textit{J. Braun} et al., SIAM J. Math. Anal. 51, No. 2, 1108--1136 (2019; Zbl 1428.35572) Full Text: DOI arXiv
Challamel, Noël; Aydogdu, Metin; Elishakoff, Isaac Statics and dynamics of nanorods embedded in an elastic medium: nonlocal elasticity and lattice formulations. (English) Zbl 1406.74078 Eur. J. Mech., A, Solids 67, 254-271 (2018). MSC: 74B05 74M25 74K10 PDF BibTeX XML Cite \textit{N. Challamel} et al., Eur. J. Mech., A, Solids 67, 254--271 (2018; Zbl 1406.74078) Full Text: DOI
Monaco, Andrew J.; Sabarwal, Tarun Games with strategic complements and substitutes. (English) Zbl 1367.91016 Econ. Theory 62, No. 1-2, 65-91 (2016). MSC: 91A10 PDF BibTeX XML Cite \textit{A. J. Monaco} and \textit{T. Sabarwal}, Econ. Theory 62, No. 1--2, 65--91 (2016; Zbl 1367.91016) Full Text: DOI
Hudson, T.; Ortner, C. Analysis of stable screw dislocation configurations in an antiplane lattice model. (English) Zbl 1317.74035 SIAM J. Math. Anal. 47, No. 1, 291-320 (2015). MSC: 74G25 74G65 70C20 49J45 74M25 74E15 PDF BibTeX XML Cite \textit{T. Hudson} and \textit{C. Ortner}, SIAM J. Math. Anal. 47, No. 1, 291--320 (2015; Zbl 1317.74035) Full Text: DOI arXiv
Antoniadou, Elena; Mirman, Leonard J.; Ruble, Richard Lattices and lotteries. (English) Zbl 1297.91101 Math. Oper. Res. 39, No. 2, 445-463 (2014). MSC: 91B42 PDF BibTeX XML Cite \textit{E. Antoniadou} et al., Math. Oper. Res. 39, No. 2, 445--463 (2014; Zbl 1297.91101) Full Text: DOI
Hudson, Thomas; Ortner, Christoph On the stability of bravais lattices and their Cauchy-Born approximations. (English) Zbl 1291.35388 ESAIM, Math. Model. Numer. Anal. 46, No. 1, 81-110 (2012). MSC: 35Q74 49K40 65N25 70J25 70C20 PDF BibTeX XML Cite \textit{T. Hudson} and \textit{C. Ortner}, ESAIM, Math. Model. Numer. Anal. 46, No. 1, 81--110 (2012; Zbl 1291.35388) Full Text: DOI
Ortner, C.; Zhang, L. Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces: a two-dimensional model problem. (English) Zbl 1269.82019 SIAM J. Numer. Anal. 50, No. 6, 2940-2965 (2012). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 82B24 65N12 65N15 82B20 70C20 PDF BibTeX XML Cite \textit{C. Ortner} and \textit{L. Zhang}, SIAM J. Numer. Anal. 50, No. 6, 2940--2965 (2012; Zbl 1269.82019) Full Text: DOI
Van Koten, Brian; Luskin, Mitchell Analysis of energy-based blended quasi-continuum approximations. (English) Zbl 1241.82026 SIAM J. Numer. Anal. 49, No. 5, 2182-2209 (2011). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B21 82C20 82C22 70C20 74S20 65G40 82B80 80M20 PDF BibTeX XML Cite \textit{B. Van Koten} and \textit{M. Luskin}, SIAM J. Numer. Anal. 49, No. 5, 2182--2209 (2011; Zbl 1241.82026) Full Text: DOI arXiv
Dobson, M.; Luskin, M.; Ortner, C. Sharp stability estimates for the force-based quasicontinuum approximation of homogeneous tensile deformation. (English) Zbl 1225.82009 Multiscale Model. Simul. 8, No. 3, 782-802 (2010). MSC: 82B20 65Z05 70C20 82D25 PDF BibTeX XML Cite \textit{M. Dobson} et al., Multiscale Model. Simul. 8, No. 3, 782--802 (2010; Zbl 1225.82009) Full Text: DOI
Stancil, Daniel D.; Prabhakar, Anil Spin waves. Theory and applications. (English) Zbl 1172.82003 New York, NY: Springer (ISBN 978-0-387-77864-8/hbk). xv, 355 p. (2009). Reviewer: Guy Jumarie (Montréal) MSC: 82-02 82C20 82D40 PDF BibTeX XML Cite \textit{D. D. Stancil} and \textit{A. Prabhakar}, Spin waves. Theory and applications. New York, NY: Springer (2009; Zbl 1172.82003) Full Text: DOI
Caflisch, Russel E. Growth, structure and pattern formation for thin films. (English) Zbl 1203.74099 J. Sci. Comput. 37, No. 1, 3-17 (2008). MSC: 74K35 74Sxx 65Mxx 74N20 82D25 PDF BibTeX XML Cite \textit{R. E. Caflisch}, J. Sci. Comput. 37, No. 1, 3--17 (2008; Zbl 1203.74099) Full Text: DOI
Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B. Connecting atomistic-to-continuum coupling and domain decomposition. (English) Zbl 1160.65343 Multiscale Model. Simul. 7, No. 1, 362-380 (2008). MSC: 65N30 65N55 65F10 35J25 65N12 65N15 PDF BibTeX XML Cite \textit{M. L. Parks} et al., Multiscale Model. Simul. 7, No. 1, 362--380 (2008; Zbl 1160.65343) Full Text: DOI
Mirman, Leonard J.; Morand, Olivier F.; Reffett, Kevin L. A qualitative approach to Markovian equilibrium in infinite horizon economies with capital. (English) Zbl 1132.91544 J. Econ. Theory 139, No. 1, 75-98 (2008). MSC: 91B52 91B50 PDF BibTeX XML Cite \textit{L. J. Mirman} et al., J. Econ. Theory 139, No. 1, 75--98 (2008; Zbl 1132.91544) Full Text: DOI
Lin, Ping Convergence analysis of a quasi-continuum approximation for a two-dimensional material without defects. (English) Zbl 1220.74010 SIAM J. Numer. Anal. 45, No. 1, 313-332 (2007). MSC: 74A25 65N30 74G15 74S05 82C80 PDF BibTeX XML Cite \textit{P. Lin}, SIAM J. Numer. Anal. 45, No. 1, 313--332 (2007; Zbl 1220.74010) Full Text: DOI
Antoniadou, Elena Comparative statics for the consumer problem. (English) Zbl 1151.91064 Econ. Theory 31, No. 1, 189-203 (2007). MSC: 91B42 91B16 PDF BibTeX XML Cite \textit{E. Antoniadou}, Econ. Theory 31, No. 1, 189--203 (2007; Zbl 1151.91064) Full Text: DOI
Telitchev, Igor Ye.; Vinogradov, Oleg A method for quasi-static analysis of topologically variable lattice structures. (English) Zbl 1198.82041 Int. J. Comput. Methods 3, No. 1, 71-81 (2006). MSC: 82C20 74A25 PDF BibTeX XML Cite \textit{I. Ye. Telitchev} and \textit{O. Vinogradov}, Int. J. Comput. Methods 3, No. 1, 71--81 (2006; Zbl 1198.82041) Full Text: DOI
Connell, Cameron R.; Caflisch, Russel E.; Luo, Erding; Simms, Geoff The elastic field of a surface step: The Marchenko–Parshin formula in the linear case. (English) Zbl 1101.74011 J. Comput. Appl. Math. 196, No. 2, 368-386 (2006). MSC: 74A25 74K35 74S20 PDF BibTeX XML Cite \textit{C. R. Connell} et al., J. Comput. Appl. Math. 196, No. 2, 368--386 (2006; Zbl 1101.74011) Full Text: DOI
Chung, Peter W.; Namburu, Raju R. On a formulation for a multiscale atomistic-continuum homogenization method. (English) Zbl 1145.74303 Int. J. Solids Struct. 40, No. 10, 2563-2588 (2003). MSC: 74A25 74Q05 82B21 PDF BibTeX XML Cite \textit{P. W. Chung} and \textit{R. R. Namburu}, Int. J. Solids Struct. 40, No. 10, 2563--2588 (2003; Zbl 1145.74303) Full Text: DOI
Lin, Ping Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model. (English) Zbl 1010.74003 Math. Comput. 72, No. 242, 657-675 (2003). MSC: 74A15 82B21 74S05 82-08 PDF BibTeX XML Cite \textit{P. Lin}, Math. Comput. 72, No. 242, 657--675 (2003; Zbl 1010.74003) Full Text: DOI
Taylor, M. B.; Barrera, G. D.; Allan, N. L.; Barron, T. H. K.; Mackrodt, W. C. Shell: A code for lattice dynamics and structure optimisation of ionic crystals. (English) Zbl 0941.82001 Comput. Phys. Commun. 109, No. 2-3, 135-143 (1998). MSC: 82-02 82C20 82C80 82D25 PDF BibTeX XML Cite \textit{M. B. Taylor} et al., Comput. Phys. Commun. 109, No. 2--3, 135--143 (1998; Zbl 0941.82001) Full Text: DOI
White, Neil; Whiteley, Walter The algebraic geometry of motions of bar-and-body frameworks. (English) Zbl 0635.51014 SIAM J. Algebraic Discrete Methods 8, 1-32 (1987). Reviewer: J.Porte MSC: 51M30 70B99 70C20 74K99 68T10 PDF BibTeX XML Cite \textit{N. White} and \textit{W. Whiteley}, SIAM J. Algebraic Discrete Methods 8, 1--32 (1987; Zbl 0635.51014) Full Text: DOI
Nagorski, Roman Statics and vibrations of a one-dimensional continuous model of surface lattice beams. (English) Zbl 0515.73054 Bull. Acad. Pol. Sci., Sér. Sci. Tech. 30, 225-235 (1982). MSC: 74K10 74H45 PDF BibTeX XML Cite \textit{R. Nagorski}, Bull. Acad. Pol. Sci., Sér. Sci. Tech. 30, 225--235 (1982; Zbl 0515.73054)
Lazinski, Piotr Fundamental variational principles in the statics of lattice media. (Polish) Zbl 0501.73015 Rozpr. Inz. 28, 333-345 (1980). MSC: 74S30 49S05 PDF BibTeX XML Cite \textit{P. Lazinski}, Rozpr. Inż. 28, 333--345 (1980; Zbl 0501.73015)