Berdichevsky, Victor L.; Islam, Md-Tofiqul The variational principle for probabilistic measure and Hashin-Shtrikman bounds. (English) Zbl 07816983 Int. J. Eng. Sci. 196, Article ID 104015, 46 p. (2024). MSC: 74-XX 81-XX PDFBibTeX XMLCite \textit{V. L. Berdichevsky} and \textit{M.-T. Islam}, Int. J. Eng. Sci. 196, Article ID 104015, 46 p. (2024; Zbl 07816983) Full Text: DOI
Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian The complete solution of the Diophantine equation \(\left(F_{n+1}^{(k)}\right)^x - \left(F_{n-1}^{(k)}\right)^x = F_m^{(k)}\). (English) Zbl 07792693 Mediterr. J. Math. 21, No. 1, Paper No. 13, 25 p. (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDFBibTeX XMLCite \textit{C. A. Gómez} et al., Mediterr. J. Math. 21, No. 1, Paper No. 13, 25 p. (2024; Zbl 07792693) Full Text: DOI OA License
Iglesias-Rodríguez, Ernesto; Bravo-Castillero, Julián; Cruz, Manuel E.; Guinovart-Díaz, Raúl Conductivity gain predictions for multiscale fibrous composites with interfacial thermal barrier resistance. (English) Zbl 07782378 Math. Methods Appl. Sci. 46, No. 6, 6613-6638 (2023). MSC: 35B27 34E13 74Q20 PDFBibTeX XMLCite \textit{E. Iglesias-Rodríguez} et al., Math. Methods Appl. Sci. 46, No. 6, 6613--6638 (2023; Zbl 07782378) Full Text: DOI OA License
Mityushev, Vladimir High-order contrast bounds for piezoelectric constants of two-phase fibrous composites. (English) Zbl 07777589 Multiscale Model. Simul. 21, No. 4, 1644-1666 (2023). MSC: 74Q20 PDFBibTeX XMLCite \textit{V. Mityushev}, Multiscale Model. Simul. 21, No. 4, 1644--1666 (2023; Zbl 07777589) Full Text: DOI
Bach, Volker; Rauch, Robert On relative bounds for interacting Fermion operators. (English) Zbl 07753235 Doc. Math. 28, No. 3, 683-707 (2023). MSC: 81Q05 81Q15 70H05 81V45 81V55 78A35 81V74 52B20 81T12 82C20 52A38 81-02 PDFBibTeX XMLCite \textit{V. Bach} and \textit{R. Rauch}, Doc. Math. 28, No. 3, 683--707 (2023; Zbl 07753235) Full Text: DOI arXiv
Carini, Angelo; Genna, Francesco; Levi, Francesca Time domain analytical bounds to the homogenized viscous kernels of linear viscoelastic composites. (English) Zbl 07738796 Eur. J. Mech., A, Solids 102, Article ID 105108, 16 p. (2023). MSC: 74Q20 74E30 74D05 PDFBibTeX XMLCite \textit{A. Carini} et al., Eur. J. Mech., A, Solids 102, Article ID 105108, 16 p. (2023; Zbl 07738796) Full Text: DOI
Stefaniuk, Damian; Kachanov, Mark Voigt-reuss and Hashin-Shtrikman bounds revisited. (English) Zbl 07729803 Int. J. Eng. Sci. 191, Article ID 103903, 12 p. (2023). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{D. Stefaniuk} and \textit{M. Kachanov}, Int. J. Eng. Sci. 191, Article ID 103903, 12 p. (2023; Zbl 07729803) Full Text: DOI
Andrianov, Igor V.; Awrejcewicz, Jan; Starushenko, Galina A. Approximate models of mechanics of composites. An asymptotic approach. (English) Zbl 07698522 Boca Raton, FL: CRC Press (ISBN 978-1-032-48830-1/hbk; 978-1-003-39102-9/ebook). xv, 351 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 74-02 74E30 74G10 74H10 74Q15 74Q20 PDFBibTeX XMLCite \textit{I. V. Andrianov} et al., Approximate models of mechanics of composites. An asymptotic approach. Boca Raton, FL: CRC Press (2023; Zbl 07698522) Full Text: DOI
Campagna, Francesco Effective bounds on differences of singular moduli that are \(S\)-units. (English) Zbl 07653004 Math. Proc. Camb. Philos. Soc. 174, No. 2, 415-450 (2023). Reviewer: Cherng-tiao Perng (Norfolk) MSC: 11G05 14K22 11G15 11R52 11G50 PDFBibTeX XMLCite \textit{F. Campagna}, Math. Proc. Camb. Philos. Soc. 174, No. 2, 415--450 (2023; Zbl 07653004) Full Text: DOI arXiv
Kaminski, Michael; Shparlinski, Igor E.; Waldschmidt, Michel On sets of linear forms of maximal complexity. (English) Zbl 07638239 Comput. Complexity 32, No. 1, Paper No. 1, 26 p. (2023). MSC: 68Q17 11C08 13F20 PDFBibTeX XMLCite \textit{M. Kaminski} et al., Comput. Complexity 32, No. 1, Paper No. 1, 26 p. (2023; Zbl 07638239) Full Text: DOI arXiv
Lee, Seunggyu; Yoon, Sungha; Lee, Chaeyoung; Kim, Sangkwon; Kim, Hyundong; Yang, Junxiang; Kwak, Soobin; Hwang, Youngjin; Kim, Junseok Effective time step analysis for the Allen-Cahn equation with a high-order polynomial free energy. (English) Zbl 07769307 Int. J. Numer. Methods Eng. 123, No. 19, 4726-4743 (2022). MSC: 65M06 65M12 65M15 41A58 41A25 35L35 35Q35 PDFBibTeX XMLCite \textit{S. Lee} et al., Int. J. Numer. Methods Eng. 123, No. 19, 4726--4743 (2022; Zbl 07769307) Full Text: DOI
Levin, Bruce; Leu, Cheng-Shiun Proof of a key inequality for lattice event probabilities with equal odds. (English) Zbl 07634011 Sequential Anal. 41, No. 4, 451-491 (2022). MSC: 62F07 62F35 62L10 74Q20 PDFBibTeX XMLCite \textit{B. Levin} and \textit{C.-S. Leu}, Sequential Anal. 41, No. 4, 451--491 (2022; Zbl 07634011) Full Text: DOI
Raices Cruz, Ivette; Lindström, Johan; Troffaes, Matthias C. M.; Sahlin, Ullrika Iterative importance sampling with Markov chain Monte Carlo sampling in robust Bayesian analysis. (English) Zbl 07584294 Comput. Stat. Data Anal. 176, Article ID 107558, 14 p. (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{I. Raices Cruz} et al., Comput. Stat. Data Anal. 176, Article ID 107558, 14 p. (2022; Zbl 07584294) Full Text: DOI arXiv
Lim, Tongseok; McCann, Robert J. On the cardinality of sets in \(\mathbb{R}^d\) obeying a slightly obtuse angle bound. (English) Zbl 07524460 SIAM J. Discrete Math. 36, No. 2, 1093-1101 (2022). Reviewer: László A. Székely (Columbia) MSC: 52C10 05A20 05B30 05D99 52C35 PDFBibTeX XMLCite \textit{T. Lim} and \textit{R. J. McCann}, SIAM J. Discrete Math. 36, No. 2, 1093--1101 (2022; Zbl 07524460) Full Text: DOI arXiv
Abdulle, Assyr; Arjmand, Doghonay; Paganoni, Edoardo A parabolic local problem with exponential decay of the resonance error for numerical homogenization. (English) Zbl 07466873 Math. Models Methods Appl. Sci. 31, No. 13, 2733-2772 (2021). MSC: 65-XX 35B27 76M50 35K20 65L70 PDFBibTeX XMLCite \textit{A. Abdulle} et al., Math. Models Methods Appl. Sci. 31, No. 13, 2733--2772 (2021; Zbl 07466873) Full Text: DOI arXiv
Furer, Joshua; Ponte Castañeda, Pedro A symmetric fully optimized second-order method for nonlinear homogenization. (English) Zbl 07776820 ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222-254 (2018). MSC: 49M29 49S05 65Z05 74D10 74B20 74Q05 74Q15 74Q20 PDFBibTeX XMLCite \textit{J. Furer} and \textit{P. Ponte Castañeda}, ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222--254 (2018; Zbl 07776820) Full Text: DOI
Serre, Denis Periodic homogenization in terms of differential forms. (English) Zbl 07002422 Rev. Roum. Math. Pures Appl. 63, No. 3, 527-546 (2018). MSC: 35B27 74Q20 PDFBibTeX XMLCite \textit{D. Serre}, Rev. Roum. Math. Pures Appl. 63, No. 3, 527--546 (2018; Zbl 07002422)
Ghosh, Tuhin; Vanninathan, Muthusamy Convergence relative to a microstructure: properties, optimal bounds and application. (English) Zbl 06850619 J. Abstr. Differ. Equ. Appl. 8, No. 2, 81-188 (2017). MSC: 62K05 78M40 74Q20 78A48 PDFBibTeX XMLCite \textit{T. Ghosh} and \textit{M. Vanninathan}, J. Abstr. Differ. Equ. Appl. 8, No. 2, 81--188 (2017; Zbl 06850619) Full Text: arXiv Link
Kapanadze, D.; Miszuris, W.; Pesetskaya, E. Relationship between the effective thermal properties of linear and nonlinear doubly periodic composites. (English) Zbl 07775067 ZAMM, Z. Angew. Math. Mech. 96, No. 7, 780-790 (2016). MSC: 34B15 35B27 74Q20 PDFBibTeX XMLCite \textit{D. Kapanadze} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 7, 780--790 (2016; Zbl 07775067) Full Text: DOI