Xin, Xiangpeng; Xia, Yarong; Zhang, Lihua; Liu, Hanze Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations. (English) Zbl 07540961 Appl. Math. Lett. 132, Article ID 108157, 8 p. (2022). MSC: 35Q55 35Q41 37K10 37K35 35C08 17B80 PDF BibTeX XML Cite \textit{X. Xin} et al., Appl. Math. Lett. 132, Article ID 108157, 8 p. (2022; Zbl 07540961) Full Text: DOI OpenURL
Wazwaz, Abdul-Majid Painlevé analysis for Boiti-Leon-Manna-Pempinelli equation of higher dimensions with time-dependent coefficients: multiple soliton solutions. (English) Zbl 1475.35112 Phys. Lett., A 384, No. 16, Article ID 126310, 5 p. (2020). MSC: 35C08 35A22 37K10 68W30 PDF BibTeX XML Cite \textit{A.-M. Wazwaz}, Phys. Lett., A 384, No. 16, Article ID 126310, 5 p. (2020; Zbl 1475.35112) Full Text: DOI OpenURL
Hovhannisyan, Gro 3 soliton solution to sine-Gordon equation on a space scale. (English) Zbl 1431.35175 J. Math. Phys. 60, No. 10, 103502, 14 p. (2019). MSC: 35Q55 35Q41 35C08 37K10 PDF BibTeX XML Cite \textit{G. Hovhannisyan}, J. Math. Phys. 60, No. 10, 103502, 14 p. (2019; Zbl 1431.35175) Full Text: DOI OpenURL
Wu, Jie; Wang, Zhidong; Yu, Zhihao Review on precise time integration method and its derived formats. (Chinese. English summary) Zbl 1438.74068 Chin. J. Comput. Mech. 36, No. 1, 132-137 (2019). MSC: 74H15 65D30 PDF BibTeX XML Cite \textit{J. Wu} et al., Chin. J. Comput. Mech. 36, No. 1, 132--137 (2019; Zbl 1438.74068) Full Text: DOI OpenURL
Mohammadzadeh, S.; Ghassemieh, M.; Park, Y. Structure-dependent improved Wilson-\(\theta\) method with higher order of accuracy and controllable amplitude decay. (English) Zbl 1480.74143 Appl. Math. Modelling 52, 417-436 (2017). MSC: 74H55 65L06 PDF BibTeX XML Cite \textit{S. Mohammadzadeh} et al., Appl. Math. Modelling 52, 417--436 (2017; Zbl 1480.74143) Full Text: DOI OpenURL
Sengupta, Tapan K.; Sagaut, Pierre; Sengupta, Aditi; Saurabh, Kumar Global spectral analysis of three-time level integration schemes: focusing phenomenon. (English) Zbl 1390.76620 Comput. Fluids 157, 182-195 (2017). MSC: 76M20 76F65 65M20 65L06 65M12 PDF BibTeX XML Cite \textit{T. K. Sengupta} et al., Comput. Fluids 157, 182--195 (2017; Zbl 1390.76620) Full Text: DOI OpenURL
Zhao, Yanqing; Song, Weizhi; Li, Hong; Sun, Li; Gao, Qiang Vibration analysis method for time-varying mass systems based on momentum conservation. (Chinese. English summary) Zbl 1399.65107 J. Numer. Methods Comput. Appl. 38, No. 1, 1-10 (2017). MSC: 65D30 70J50 PDF BibTeX XML Cite \textit{Y. Zhao} et al., J. Numer. Methods Comput. Appl. 38, No. 1, 1--10 (2017; Zbl 1399.65107) OpenURL
Zhang, Rongpei The direct discontinuous Galerkin finite element method for reaction diffusion equations. (Chinese. English summary) Zbl 1340.65231 Numer. Math., Nanjing 37, No. 1, 1-8 (2015). MSC: 65M60 PDF BibTeX XML Cite \textit{R. Zhang}, Numer. Math., Nanjing 37, No. 1, 1--8 (2015; Zbl 1340.65231) OpenURL
Daude, F.; Mary, I.; Comte, P. Self-adaptive Newton-based iteration strategy for the LES of turbulent multi-scale flows. (English) Zbl 1391.76211 Comput. Fluids 100, 278-290 (2014). MSC: 76F65 65M22 76F40 76Nxx PDF BibTeX XML Cite \textit{F. Daude} et al., Comput. Fluids 100, 278--290 (2014; Zbl 1391.76211) Full Text: DOI OpenURL
Xing, Yu-Feng; Guo, Jing Differential quadrature time element method for structural dynamics. (English) Zbl 1345.65053 Acta Mech. Sin. 28, No. 3, 782-792 (2012). MSC: 65L12 PDF BibTeX XML Cite \textit{Y.-F. Xing} and \textit{J. Guo}, Acta Mech. Sin. 28, No. 3, 782--792 (2012; Zbl 1345.65053) Full Text: DOI OpenURL
Müller-Gronbach, Thomas; Novak, Erich; Ritter, Klaus Monte Carlo algorithms. (Monte Carlo-Algorithmen.) (German) Zbl 1254.65012 Springer-Lehrbuch. Berlin: Springer (ISBN 978-3-540-89140-6/pbk; 978-3-540-89141-3/ebook). ix, 324 p. (2012). Reviewer: Reinhold Kainhofer (Wien) MSC: 65C05 00A72 60G05 65-02 60J22 65C40 91G60 82C80 60J05 60J65 PDF BibTeX XML Cite \textit{T. Müller-Gronbach} et al., Monte Carlo-Algorithmen. Berlin: Springer (2012; Zbl 1254.65012) Full Text: DOI OpenURL
Kuo, Shyh-Rong; Yau, J. D. A fast and accurate step-by-step solution procedure for direct integration. (English) Zbl 1271.74114 Int. J. Struct. Stab. Dyn. 11, No. 3, 473-493 (2011). MSC: 74H15 74S05 PDF BibTeX XML Cite \textit{S.-R. Kuo} and \textit{J. D. Yau}, Int. J. Struct. Stab. Dyn. 11, No. 3, 473--493 (2011; Zbl 1271.74114) Full Text: DOI OpenURL
Chaouat, Bruno An efficient numerical method for RANS/LES turbulent simulations using subfilter scale stress transport equations. (English) Zbl 1427.76157 Int. J. Numer. Methods Fluids 67, No. 10, 1207-1233 (2011). MSC: 76M12 76F65 76F25 PDF BibTeX XML Cite \textit{B. Chaouat}, Int. J. Numer. Methods Fluids 67, No. 10, 1207--1233 (2011; Zbl 1427.76157) Full Text: DOI OpenURL
Liu, Qimao; Zhang, Jing; Yan, Liubin A numerical method of calculating first and second derivatives of dynamic response based on Gauss precise time step integration method. (English) Zbl 1480.74295 Eur. J. Mech., A, Solids 29, No. 3, 370-377 (2010). MSC: 74S20 74H15 65D25 PDF BibTeX XML Cite \textit{Q. Liu} et al., Eur. J. Mech., A, Solids 29, No. 3, 370--377 (2010; Zbl 1480.74295) Full Text: DOI OpenURL
Dechevsky, Lubomir T.; Bu, Xian F.; Bang, Børre; Lakså, Arne Variational calculus and multigrid dynamical programming on expo-rational tensor-product surfaces. (English) Zbl 1170.49025 Int. J. Pure Appl. Math. 51, No. 4, 475-503 (2009). MSC: 49L20 49Q20 53C22 65D07 26B35 33F05 41A05 41A15 41A30 41A55 41A63 53A04 53A05 65D05 65D17 65D18 65Y20 68U05 68U07 PDF BibTeX XML Cite \textit{L. T. Dechevsky} et al., Int. J. Pure Appl. Math. 51, No. 4, 475--503 (2009; Zbl 1170.49025) OpenURL
Pal, Srimanta Numerical methods. Principles, analysis and algorithms. (English) Zbl 1196.65001 Oxford: Oxford University Press (ISBN 978-0-19-569375-1/pbk). xii, 812 p. (2009). Reviewer: Georg Hebermehl (Berlin) MSC: 65-01 65Fxx 65Lxx 65Mxx 65Nxx 65Yxx 65D05 65D07 65D30 65G50 65H04 65H05 65H10 92B20 97M50 00A06 65C05 65R20 PDF BibTeX XML Cite \textit{S. Pal}, Numerical methods. Principles, analysis and algorithms. Oxford: Oxford University Press (2009; Zbl 1196.65001) OpenURL
Iserles, Arieh A first course in the numerical analysis of differential equations. 2nd ed. (English) Zbl 1171.65060 Cambridge Texts in Applied Mathematics. Cambridge: Cambridge University Press (ISBN 978-0-521-73490-5/pbk). xix, 459 p. (2009). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65-01 65Lxx 65Nxx 65F05 65F10 65H10 PDF BibTeX XML Cite \textit{A. Iserles}, A first course in the numerical analysis of differential equations. 2nd ed. Cambridge: Cambridge University Press (2009; Zbl 1171.65060) Full Text: DOI OpenURL
Wall, W. A.; Mok, D. P.; Schmidt, J.; Ramm, E. Partitioned analysis of transient nonlinear fluid-structure interaction problems including free surface effects. (English) Zbl 1015.74062 Sändig, A.-M. (ed.) et al., Multifield problems. State of the art. Berlin: Springer. 159-166 (2000). MSC: 74S05 74F10 76D05 76D27 PDF BibTeX XML Cite \textit{W. A. Wall} et al., in: Multified problems. State of the art. Berlin: Springer. 159--166 (2000; Zbl 1015.74062) OpenURL
Providakis, C. P. Transient dynamic response of elastoplastic thick plates resting on Winkler-type foundation. (English) Zbl 0986.74074 Nonlinear Dyn. 23, No. 3, 285-302 (2000). MSC: 74S15 74H45 74K20 PDF BibTeX XML Cite \textit{C. P. Providakis}, Nonlinear Dyn. 23, No. 3, 285--302 (2000; Zbl 0986.74074) Full Text: DOI OpenURL
Providakis, C. P.; Beskos, D. E. Inelastic transient dynamic analysis of Reissner-Mindlin plates by the D/BEM. (English) Zbl 0976.74077 Int. J. Numer. Methods Eng. 49, No. 3, 383-397 (2000). MSC: 74S15 74K20 74H15 PDF BibTeX XML Cite \textit{C. P. Providakis} and \textit{D. E. Beskos}, Int. J. Numer. Methods Eng. 49, No. 3, 383--397 (2000; Zbl 0976.74077) Full Text: DOI OpenURL
Chen, Shanshin; Hansen, John M.; Tortorelli, Daniel A. Unconditionally energy stable implicit time integration: Application to multibody system analysis and design. (English) Zbl 0971.70005 Int. J. Numer. Methods Eng. 48, No. 6, 791-822 (2000). MSC: 70-08 70E55 PDF BibTeX XML Cite \textit{S. Chen} et al., Int. J. Numer. Methods Eng. 48, No. 6, 791--822 (2000; Zbl 0971.70005) Full Text: DOI OpenURL
Schmid, M.; Perić, M. Computation of turbulent flows with separation by coherent structure capturing. (English) Zbl 0989.76035 Krause, Egon (ed.) et al., High performance computing in science and engineering ’99. Transactions of the High Performance Computing Center Stuttgart (HLRS). 2nd workshop, Stuttgart, Germany, October 4-6, 1999. Berlin: Springer. 304-311 (2000). MSC: 76F65 76M12 PDF BibTeX XML Cite \textit{M. Schmid} and \textit{M. Perić}, in: High performance computing in science and engineering '99. Transactions of the High Performance Computing Center Stuttgart (HLRS). 2nd workshop, Stuttgart, Germany, October 4--6, 1999. Berlin: Springer. 304--311 (2000; Zbl 0989.76035) Full Text: DOI OpenURL
Rao, R. Venugopala; Rao, N. S. V. Kameswara Dynamic soil-structure interaction analysis using Lanczos vectors with adaptive time integration technique. (English) Zbl 0952.74043 Int. J. Numer. Anal. Methods Geomech. 23, No. 11, 1141-1158 (1999). MSC: 74L10 74S05 65F15 PDF BibTeX XML Cite \textit{R. V. Rao} and \textit{N. S. V. K. Rao}, Int. J. Numer. Anal. Methods Geomech. 23, No. 11, 1141--1158 (1999; Zbl 0952.74043) Full Text: DOI OpenURL
Aprile, Alessandra; Benedetti, Andrea Implicit dynamic analysis of VE-damped structures using Maxwell parallel systems. (English) Zbl 0951.74023 Eng. Comput. (Bradf.) 16, No. 2-3, 374-396 (1999). MSC: 74H15 74D05 74S05 PDF BibTeX XML Cite \textit{A. Aprile} and \textit{A. Benedetti}, Eng. Comput. (Bradf.) 16, No. 2--3, 374--396 (1999; Zbl 0951.74023) Full Text: DOI OpenURL
Hüttl, Thomas J.; Friedrich, Rainer High performance computing of turbulent flow in complex pipe geometries. (English) Zbl 0991.76031 Krause, Egon (ed.) et al., High performance computing in science and engineering ’98. Transactions of the High Performance Computing Center Stuttgart (HLRS) 1998. 1st workshop, Stuttgart, Germany, June 22-24, 1998. Berlin: Springer. 236-251 (1999). MSC: 76F65 76M12 76D05 PDF BibTeX XML Cite \textit{T. J. Hüttl} and \textit{R. Friedrich}, in: High performance computing in science and engineering '98. Transactions of the High Performance Computing Center Stuttgart (HLRS) 1998. 1st workshop, Stuttgart, Germany, June 22--24, 1998. Berlin: Springer. 236--251 (1999; Zbl 0991.76031) OpenURL
Providakis, C. P. Boundary element method applied to the dynamic analysis of elastoplastic Reissner plates. (English) Zbl 0929.74122 Brebbia, C. A. (ed.), Boundary element research in Europe. EUROBEM 98. Proceedings of the 2nd European boundary element symposium held in Southampton, GB, May 19-21, 1998. Southampton: C M Publications. 297-303 (1998). MSC: 74S15 74K20 74C05 PDF BibTeX XML Cite \textit{C. P. Providakis}, in: Boundary element research in Europe. EUROBEM 98. Proceedings of the 2nd European boundary element symposium held in Southampton, GB, May 19-21, 1998. Southampton: C M Publications. 297--303 (1998; Zbl 0929.74122) OpenURL
Jiang, Lei; Haddow, J. B. A finite element solution of plane wave propagation in inhomogeneous linear viscoelastic solids. (English) Zbl 0982.74558 J. Sound Vib. 184, No. 3, 429-438 (1995). MSC: 74S05 74J10 74D05 PDF BibTeX XML Cite \textit{L. Jiang} and \textit{J. B. Haddow}, J. Sound Vib. 184, No. 3, 429--438 (1995; Zbl 0982.74558) Full Text: DOI OpenURL
Yi, Sung; Hilton, Harry H. Dynamic finite element analysis of viscoelastic composite plates in the time domain. (English) Zbl 0814.73071 Int. J. Numer. Methods Eng. 37, No. 23, 4081-4096 (1994). MSC: 74S05 74K20 74E30 74Hxx PDF BibTeX XML Cite \textit{S. Yi} and \textit{H. H. Hilton}, Int. J. Numer. Methods Eng. 37, No. 23, 4081--4096 (1994; Zbl 0814.73071) Full Text: DOI OpenURL
Kleiber, Michal; Hien, Tran Duong; Postek, Eligiusz Incremental finite element sensitivity analysis for non-linear mechanics applications. (English) Zbl 0810.73061 Int. J. Numer. Methods Eng. 37, No. 19, 3291-3308 (1994). MSC: 74S05 74P99 PDF BibTeX XML Cite \textit{M. Kleiber} et al., Int. J. Numer. Methods Eng. 37, No. 19, 3291--3308 (1994; Zbl 0810.73061) Full Text: DOI OpenURL
Ryaben’kij, V. S. Introduction to computational mathematics. Textbook. (Vvedenie v vychislitel’nuyu matematiku. Uchebnoe posobie.) (Russian. English summary) Zbl 0857.65001 Moskva: Nauka. Fizmatlit. 335 p. (1994). Reviewer: G.Molnárka (Budapest) MSC: 65-01 65D05 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx PDF BibTeX XML Cite \textit{V. S. Ryaben'kij}, Vvedenie v vychislitel'nuyu matematiku. Uchebnoe posobie (Russian). Moskva: Nauka. Fizmatlit (1994; Zbl 0857.65001) OpenURL
Carrer, J. A. M.; Telles, J. C. F. A boundary element formulation to solve transient dynamic elastoplastic problems. (English) Zbl 0772.73089 Comput. Struct. 45, No. 4, 707-713 (1992). MSC: 74S15 74H99 74B99 PDF BibTeX XML Cite \textit{J. A. M. Carrer} and \textit{J. C. F. Telles}, Comput. Struct. 45, No. 4, 707--713 (1992; Zbl 0772.73089) Full Text: DOI OpenURL
Srinivasan, R. S.; Krishnan, P. A. Dynamic response of layered conical shell panel using integral equation technique. (English) Zbl 0705.73263 Comput. Struct. 31, No. 6, 897-905 (1989). MSC: 74S15 74H45 74K15 PDF BibTeX XML Cite \textit{R. S. Srinivasan} and \textit{P. A. Krishnan}, Comput. Struct. 31, No. 6, 897--905 (1989; Zbl 0705.73263) Full Text: DOI OpenURL
Lee, S. L.; Alwis, W. A. M.; Swaddiwudhipong, S.; Mairantz, B. Computational aspect of dynamic analysis of elastoplastic arches. (English) Zbl 0647.73040 Numerical mathematics, Proc. Int. Conf., Singapore 1988, ISNM, Int. Ser. Numer. Math. 86, 285-294 (1988). MSC: 74S30 74H45 PDF BibTeX XML OpenURL
Itzkowitz, Ilana; Levit, Itzhak An explicit, unconditionally stable, time integration algorithm with a controlled accuracy. (English) Zbl 0624.73073 Comput. Struct. 27, 351-355 (1987). MSC: 74S05 74H45 65L05 PDF BibTeX XML Cite \textit{I. Itzkowitz} and \textit{I. Levit}, Comput. Struct. 27, 351--355 (1987; Zbl 0624.73073) Full Text: DOI OpenURL
Friberg, Olof Jacobian matrices using the Newmark direct integration scheme. (English) Zbl 0602.73088 Comput. Struct. 25, 307-310 (1987). MSC: 74S30 74H45 74S05 49M15 65L99 PDF BibTeX XML Cite \textit{O. Friberg}, Comput. Struct. 25, 307--310 (1987; Zbl 0602.73088) Full Text: DOI OpenURL
Logan, Daryl L. A first course in the finite element method. (English) Zbl 0648.73028 The PWS-Kent Series in Civil Engineering. Boston: PWS-Kent Publishing Company. XVII, 617 p.; £41.30 (1986). Reviewer: H.Bufler MSC: 74S05 65N30 74-01 74-04 74K10 74H45 74F05 35K05 74S30 PDF BibTeX XML OpenURL
Yoshida, Yutaka; Nomura, Takashi A numerical method for finite element transient analysis of incompressible Navier-Stokes equations. (English) Zbl 0614.76025 Theor. Appl. Mech. 34, 29-42 (1986). MSC: 76D05 76M99 PDF BibTeX XML Cite \textit{Y. Yoshida} and \textit{T. Nomura}, Theor. Appl. Mech. 34, 29--42 (1986; Zbl 0614.76025) OpenURL
Changizi, K.; Shabana, A. A. Pulse control of flexible multibody systems. (English) Zbl 0607.73064 Comput. Struct. 24, 875-884 (1986). MSC: 74E30 70Q05 74H45 74M20 PDF BibTeX XML Cite \textit{K. Changizi} and \textit{A. A. Shabana}, Comput. Struct. 24, 875--884 (1986; Zbl 0607.73064) Full Text: DOI OpenURL
Manolis, G. D.; Ahmad, S.; Banerjee, P. K. Boundary element method implementation for three-dimensional transient elastodynamics. (English) Zbl 0586.73136 Dev. Boundary Elem. Methods 4, 29-65 (1986). MSC: 74S30 74S99 74-04 PDF BibTeX XML Cite \textit{G. D. Manolis} et al., Dev. Boundary Elem. Methods 4, 29--65 (1986; Zbl 0586.73136) OpenURL
Yoshida, Y.; Nomura, T. A transient solution method for the finite element incompressible Navier- Stokes equations. (English) Zbl 0619.76027 Int. J. Numer. Methods Fluids 5, 873-890 (1985). Reviewer: J.Siekmann MSC: 76D05 PDF BibTeX XML Cite \textit{Y. Yoshida} and \textit{T. Nomura}, Int. J. Numer. Methods Fluids 5, 873--890 (1985; Zbl 0619.76027) Full Text: DOI OpenURL
Hamdan, S. M.; Patamapongs, N. Stability and convergence of some finite element algorithms for nonlinear elastodynamics. (English) Zbl 0575.73086 Int. J. Numer. Methods Eng. 21, 975-999 (1985). Reviewer: V.Gioncu MSC: 74S05 65M12 65N12 65N30 65M60 PDF BibTeX XML Cite \textit{S. M. Hamdan} and \textit{N. Patamapongs}, Int. J. Numer. Methods Eng. 21, 975--999 (1985; Zbl 0575.73086) Full Text: DOI OpenURL
Pierre, Christophe; Dowell, E. H. A study of dynamic instability of plates by an extended incremental harmonic balance method. (English) Zbl 0568.73053 J. Appl. Mech. 52, 693-697 (1985). MSC: 74H55 74R99 74K20 34B30 74J99 PDF BibTeX XML Cite \textit{C. Pierre} and \textit{E. H. Dowell}, J. Appl. Mech. 52, 693--697 (1985; Zbl 0568.73053) Full Text: DOI OpenURL
Hsieh, C. C.; Arora, J. S. A hybrid formulation for treatment of point-wise state variable constraints in dynamic response optimization. (English) Zbl 0548.73078 Comput. Methods Appl. Mech. Eng. 48, 171-189 (1985). MSC: 74P99 74H45 74S30 PDF BibTeX XML Cite \textit{C. C. Hsieh} and \textit{J. S. Arora}, Comput. Methods Appl. Mech. Eng. 48, 171--189 (1985; Zbl 0548.73078) Full Text: DOI OpenURL
Hsieh, C. C.; Arora, J. S. A hybrid formulation for treatment of point-wise state variable constraints in dynamic response optimization. (English) Zbl 0538.73117 Comput. Methods Appl. Mech. Eng. (to appear). MSC: 74P99 74H45 74S30 PDF BibTeX XML OpenURL
Verwer, J. G.; Dekker, K. Stability in the method of lines. (English) Zbl 0544.65062 Wiss. Beitr., Martin-Luther-Univ. Halle Wittenberg 1984/24(M33), 149-155 (1984). MSC: 65M20 65L05 35G10 35K25 PDF BibTeX XML OpenURL
Nardini, D.; Brebbia, C. A. Transient dynamic analysis by the boundary element method. (English) Zbl 0548.73061 Boundary elements, Proc. 5th int. Conf., Hiroshima 1983, 719-730 (1983). Reviewer: S.Sburlan MSC: 74S30 74S99 PDF BibTeX XML OpenURL
Reddy, J. N. On the solutions to forced motions of rectangular composite plates. (English) Zbl 0486.73062 J. Appl. Mech. 49, 403-408 (1982). MSC: 74E30 74K20 65D30 PDF BibTeX XML Cite \textit{J. N. Reddy}, J. Appl. Mech. 49, 403--408 (1982; Zbl 0486.73062) Full Text: DOI OpenURL
Buysse, Martine; Dubois, Michel New results in transient heat transfer analysis by the boundary integral equation method. (English) Zbl 0488.73117 Numerical methods in thermal problems, Proc. 2nd int. Conf., Venice/Italy 1981, 573-582 (1981). MSC: 74A15 65R20 74S30 80A20 PDF BibTeX XML OpenURL
Sheinman, Izhak Forced vibration of a curved beam with viscous damping. (English) Zbl 0394.73052 Comput. Struct. 10, 499-503 (1979). MSC: 74H45 74-04 PDF BibTeX XML Cite \textit{I. Sheinman}, Comput. Struct. 10, 499--503 (1979; Zbl 0394.73052) Full Text: DOI OpenURL