Płociniczak, Łukasz On a discrete composition of the fractional integral and Caputo derivative. (English) Zbl 07474635 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106234, 6 p. (2022). MSC: 26A33 34A08 35R11 65R20 PDF BibTeX XML Cite \textit{Ł. Płociniczak}, Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106234, 6 p. (2022; Zbl 07474635) Full Text: DOI arXiv OpenURL
Biasi, Anxo Self-similar solutions to the compressible Euler equations and their instabilities. (English) Zbl 1477.35142 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106014, 28 p. (2021). MSC: 35Q31 35C06 35B35 35B44 76N10 76N15 76L05 PDF BibTeX XML Cite \textit{A. Biasi}, Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106014, 28 p. (2021; Zbl 1477.35142) Full Text: DOI arXiv OpenURL
Javadi, Masoud; Rahmanian, Mohammad Nonlinear vibration of fractional Kelvin-Voigt viscoelastic beam on nonlinear elastic foundation. (English) Zbl 1464.74065 Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105784, 12 p. (2021). MSC: 74H45 74K10 74D05 74H15 PDF BibTeX XML Cite \textit{M. Javadi} and \textit{M. Rahmanian}, Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105784, 12 p. (2021; Zbl 1464.74065) Full Text: DOI OpenURL
Wei, Hui Infinitely many periodic solutions for a semilinear Euler-Bernoulli beam equation with variable coefficients. (English) Zbl 1460.35112 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105756, 13 p. (2021). MSC: 35J25 35B10 35A01 PDF BibTeX XML Cite \textit{H. Wei}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105756, 13 p. (2021; Zbl 1460.35112) Full Text: DOI arXiv OpenURL
Jung, Chang-Yeol; Kwon, Bongsuk; Suzuki, Masahiro On approximate solutions to the Euler-Poisson system with boundary layers. (English) Zbl 1459.82305 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105717, 28 p. (2021). MSC: 82D10 76X05 35Q31 35Q60 35C20 35B25 65M06 PDF BibTeX XML Cite \textit{C.-Y. Jung} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105717, 28 p. (2021; Zbl 1459.82305) Full Text: DOI OpenURL
Chauchat, Nicolas; Becker, Roland; Schall, Eric Performance of DG methods based on different variables for low Mach number flows. (English) Zbl 1458.35309 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105580, 21 p. (2021). MSC: 35Q31 76N06 65M60 65M06 65N30 65M08 PDF BibTeX XML Cite \textit{N. Chauchat} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105580, 21 p. (2021; Zbl 1458.35309) Full Text: DOI Link OpenURL
Nouri, Kazem; Ranjbar, Hassan; Torkzadeh, Leila Solving the stochastic differential systems with modified split-step Euler-Maruyama method. (English) Zbl 07261581 Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105153, 15 p. (2020). MSC: 65C30 37H10 60H10 60H35 PDF BibTeX XML Cite \textit{K. Nouri} et al., Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105153, 15 p. (2020; Zbl 07261581) Full Text: DOI OpenURL
Schall, Eric; Chauchat, Nicolas Implicit method and slope limiter in AHMR procedure for high order discontinuous Galerkin methods for compressible flows. (English) Zbl 1464.65126 Commun. Nonlinear Sci. Numer. Simul. 72, 371-391 (2019). MSC: 65M60 35Q35 76N99 PDF BibTeX XML Cite \textit{E. Schall} and \textit{N. Chauchat}, Commun. Nonlinear Sci. Numer. Simul. 72, 371--391 (2019; Zbl 1464.65126) Full Text: DOI Link OpenURL
Mollaei, Mehdi; Malek Jafarian, Seyyed Majid The introduction of the surfing scheme for shock capturing with high-stability and high-speed convergence. (English) Zbl 1475.65159 Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104861, 12 p. (2019). MSC: 65M99 76L05 35Q31 35Q53 PDF BibTeX XML Cite \textit{M. Mollaei} and \textit{S. M. Malek Jafarian}, Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104861, 12 p. (2019; Zbl 1475.65159) Full Text: DOI OpenURL
Ruiz, Adrian; Muriel, Concepcion; Ramírez, J. Exact general solution and first integrals of a remarkable static Euler-Bernoulli beam equation. (English) Zbl 07263956 Commun. Nonlinear Sci. Numer. Simul. 69, 261-269 (2019). MSC: 34A05 34C14 34C20 34G20 PDF BibTeX XML Cite \textit{A. Ruiz} et al., Commun. Nonlinear Sci. Numer. Simul. 69, 261--269 (2019; Zbl 07263956) Full Text: DOI OpenURL
Wang, Z.; Zhang, J.; Wang, L.; Liu, Y. A general objective shock wave detection from a geometric singular perturbation approach. (English) Zbl 1458.76060 Commun. Nonlinear Sci. Numer. Simul. 66, 1-19 (2019). MSC: 76L05 76M45 PDF BibTeX XML Cite \textit{Z. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 66, 1--19 (2019; Zbl 1458.76060) Full Text: DOI OpenURL
Kamrani, Minoo; Jamshidi, Nahid Implicit Euler approximation of stochastic evolution equations with fractional Brownian motion. (English) Zbl 1462.60098 Commun. Nonlinear Sci. Numer. Simul. 44, 1-10 (2017). MSC: 60H35 60G22 60H15 65M75 PDF BibTeX XML Cite \textit{M. Kamrani} and \textit{N. Jamshidi}, Commun. Nonlinear Sci. Numer. Simul. 44, 1--10 (2017; Zbl 1462.60098) Full Text: DOI OpenURL
Bahrami, F.; Fazli, H.; Jodayree Akbarfam, A. A new approach on fractional variational problems and Euler-Lagrange equations. (English) Zbl 1351.49020 Commun. Nonlinear Sci. Numer. Simul. 23, No. 1-3, 39-50 (2015). MSC: 49K05 26A33 PDF BibTeX XML Cite \textit{F. Bahrami} et al., Commun. Nonlinear Sci. Numer. Simul. 23, No. 1--3, 39--50 (2015; Zbl 1351.49020) Full Text: DOI OpenURL
Yuen, Manwai Rotational and self-similar solutions for the compressible Euler equations in \(\mathbb R^3\). (English) Zbl 1310.35191 Commun. Nonlinear Sci. Numer. Simul. 20, No. 3, 634-640 (2015). MSC: 35Q31 35C06 76N10 35Q35 PDF BibTeX XML Cite \textit{M. Yuen}, Commun. Nonlinear Sci. Numer. Simul. 20, No. 3, 634--640 (2015; Zbl 1310.35191) Full Text: DOI arXiv OpenURL
Yuen, Manwai Vortical and self-similar flows of 2D compressible Euler equations. (English) Zbl 1457.76184 Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2172-2180 (2014). MSC: 76U05 76N10 PDF BibTeX XML Cite \textit{M. Yuen}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2172--2180 (2014; Zbl 1457.76184) Full Text: DOI arXiv OpenURL
Almeida, Ricardo; Malinowska, Agnieszka B. Generalized transversality conditions in fractional calculus of variations. (English) Zbl 1279.49006 Commun. Nonlinear Sci. Numer. Simul. 18, No. 3, 443-452 (2013). MSC: 49J21 26A33 PDF BibTeX XML Cite \textit{R. Almeida} and \textit{A. B. Malinowska}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 3, 443--452 (2013; Zbl 1279.49006) Full Text: DOI arXiv Link OpenURL
An, Hongli; Yuen, Manwai Supplement to: “Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in \(\mathbb{R}^N\)”. (English) Zbl 1440.35260 Commun. Nonlinear Sci. Numer. Simul. 18, No. 6, 1558-1561 (2013). MSC: 35Q35 76N10 76D05 PDF BibTeX XML Cite \textit{H. An} and \textit{M. Yuen}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 6, 1558--1561 (2013; Zbl 1440.35260) Full Text: DOI OpenURL
Wang, Dongling; Xiao, Aiguo Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. (English) Zbl 1261.35149 Commun. Nonlinear Sci. Numer. Simul. 18, No. 4, 905-914 (2013). MSC: 35R11 35A15 PDF BibTeX XML Cite \textit{D. Wang} and \textit{A. Xiao}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 4, 905--914 (2013; Zbl 1261.35149) Full Text: DOI OpenURL
Mazandarani, Mehran; Kamyad, Ali Vahidian Modified fractional Euler method for solving fuzzy fractional initial value problem. (English) Zbl 1253.35208 Commun. Nonlinear Sci. Numer. Simul. 18, No. 1, 12-21 (2013); corrigendum ibid. 26, No. 1-3, 276-277 (2015). MSC: 35R13 35R11 PDF BibTeX XML Cite \textit{M. Mazandarani} and \textit{A. V. Kamyad}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 1, 12--21 (2013; Zbl 1253.35208) Full Text: DOI OpenURL
Yuen, Manwai Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in \(\mathbb R^N\). (English) Zbl 1431.35143 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4524-4528 (2012); supplement ibid. 18, No. 6, 1558-1561 (2013). MSC: 35Q35 76N10 76D05 PDF BibTeX XML Cite \textit{M. Yuen}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4524--4528 (2012; Zbl 1431.35143) Full Text: DOI arXiv OpenURL
Kim, Eun Heui; Lee, Chung-Min Numerical solutions of transonic two-dimensional flows at a ninety-degree wedge. (English) Zbl 1247.76041 Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4241-4249 (2012). MSC: 76H05 76L05 35Q31 PDF BibTeX XML Cite \textit{E. H. Kim} and \textit{C.-M. Lee}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4241--4249 (2012; Zbl 1247.76041) Full Text: DOI OpenURL
Ma, Wei-jun; Zhang, Qi-min; Han, Chong-zhao Numerical analysis for stochastic age-dependent population equations with fractional Brownian motion. (English) Zbl 1245.35156 Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1884-1893 (2012). MSC: 35R60 65C30 60H15 PDF BibTeX XML Cite \textit{W.-j. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1884--1893 (2012; Zbl 1245.35156) Full Text: DOI OpenURL
Jiang, Feng; Shen, Yi; Wu, Fuke A note on order of convergence of numerical method for neutral stochastic functional differential equations. (English) Zbl 1257.65005 Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1194-1200 (2012). Reviewer: Grigori N. Milstein (Yekaterinburg) MSC: 65C30 34K50 60H10 60H35 PDF BibTeX XML Cite \textit{F. Jiang} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1194--1200 (2012; Zbl 1257.65005) Full Text: DOI OpenURL
Wang, Dongling; Xiao, Aiguo Fractional variational integrators for fractional variational problems. (English) Zbl 1239.49028 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 602-610 (2012). MSC: 49K15 34A08 49M30 PDF BibTeX XML Cite \textit{D. Wang} and \textit{A. Xiao}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 602--610 (2012; Zbl 1239.49028) Full Text: DOI OpenURL
Yeung, Ling Hei; Yuen, Manwai Note for “Some exact blowup solutions to the pressureless Euler equations in \(\mathbb R^{N}\)”. (English) Zbl 1242.76038 Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 485-487 (2012). MSC: 76D05 35Q31 PDF BibTeX XML Cite \textit{L. H. Yeung} and \textit{M. Yuen}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 485--487 (2012; Zbl 1242.76038) Full Text: DOI OpenURL
Webb, Jeffrey F. Second-harmonic generation in ferroelectric thin films on metal substrates for isotropic and cubic symmetries. (English) Zbl 1230.78004 Commun. Nonlinear Sci. Numer. Simul. 16, No. 12, 4632-4642 (2011). MSC: 78A25 78A40 35Q56 35Q31 PDF BibTeX XML Cite \textit{J. F. Webb}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 12, 4632--4642 (2011; Zbl 1230.78004) Full Text: DOI OpenURL
Jiang, Feng; Shen, Yi; Liu, Lei Numerical methods for a class of jump-diffusion systems with random magnitudes. (English) Zbl 1221.65017 Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2720-2729 (2011). MSC: 65C30 60J75 91G80 PDF BibTeX XML Cite \textit{F. Jiang} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2720--2729 (2011; Zbl 1221.65017) Full Text: DOI OpenURL
Shoji, Isao A note on convergence rate of a linearization method for the discretization of stochastic differential equations. (English) Zbl 1221.65020 Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2667-2671 (2011). MSC: 65C30 60H35 PDF BibTeX XML Cite \textit{I. Shoji}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2667--2671 (2011; Zbl 1221.65020) Full Text: DOI OpenURL
Gupta, Vikas; Kadalbajoo, Mohan K. A singular perturbation approach to solve Burgers-Huxley equation via monotone finite difference scheme on layer-adaptive mesh. (English) Zbl 1221.65221 Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1825-1844 (2011). MSC: 65M06 35B25 35K59 35Q53 65M50 PDF BibTeX XML Cite \textit{V. Gupta} and \textit{M. K. Kadalbajoo}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1825--1844 (2011; Zbl 1221.65221) Full Text: DOI OpenURL
Almeida, Ricardo; Torres, Delfim F. M. Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. (English) Zbl 1221.49038 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1490-1500 (2011). MSC: 49K21 26A33 PDF BibTeX XML Cite \textit{R. Almeida} and \textit{D. F. M. Torres}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1490--1500 (2011; Zbl 1221.49038) Full Text: DOI arXiv OpenURL
Jiang, Feng; Shen, Yi; Hu, Junhao Stability of the split-step backward Euler scheme for stochastic delay integro-differential equations with Markovian switching. (English) Zbl 1221.65016 Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 814-821 (2011). MSC: 65C30 60H10 60J27 PDF BibTeX XML Cite \textit{F. Jiang} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 814--821 (2011; Zbl 1221.65016) Full Text: DOI OpenURL
Rathinasamy, A.; Yin, Baojian; Yasodha, B. Numerical analysis for stochastic age-dependent population equations with Poisson jump and phase semi-Markovian switching. (English) Zbl 1221.65019 Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 350-362 (2011). MSC: 65C30 60J75 60K15 PDF BibTeX XML Cite \textit{A. Rathinasamy} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 350--362 (2011; Zbl 1221.65019) Full Text: DOI OpenURL
Yuen, Manwai Some exact blowup solutions to the pressureless Euler equations in \(\mathbb R^{N}\). (English) Zbl 1419.76542 Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 2993-2998 (2011). MSC: 76N10 35Q31 PDF BibTeX XML Cite \textit{M. Yuen}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 2993--2998 (2011; Zbl 1419.76542) Full Text: DOI arXiv OpenURL
Liao, Shijun On the relationship between the homotopy analysis method and Euler transform. (English) Zbl 1221.65206 Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1421-1431 (2010). MSC: 65L99 34E10 34A45 41A58 40G05 PDF BibTeX XML Cite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1421--1431 (2010; Zbl 1221.65206) Full Text: DOI OpenURL
Baleanu, Dumitru; Trujillo, Juan I. A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. (English) Zbl 1221.34008 Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1111-1115 (2010). MSC: 34A08 26A33 45J05 70H03 PDF BibTeX XML Cite \textit{D. Baleanu} and \textit{J. I. Trujillo}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1111--1115 (2010; Zbl 1221.34008) Full Text: DOI OpenURL
Ibragimov, Ranis N.; Pelinovsky, Dmitry E. Three-dimensional gravity waves in a channel of variable depth. (English) Zbl 1221.76045 Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2104-2113 (2008). MSC: 76B15 35L60 35Q35 37K05 PDF BibTeX XML Cite \textit{R. N. Ibragimov} and \textit{D. E. Pelinovsky}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2104--2113 (2008; Zbl 1221.76045) Full Text: DOI OpenURL
Gusev, S. A. Monte Carlo estimates of the solution of a parabolic equation and its derivatives made by solving stochastic differential equations. (English) Zbl 1037.35110 Commun. Nonlinear Sci. Numer. Simul. 9, No. 2, 177-185 (2004). MSC: 35R60 35K20 35B30 65C05 65C30 PDF BibTeX XML Cite \textit{S. A. Gusev}, Commun. Nonlinear Sci. Numer. Simul. 9, No. 2, 177--185 (2004; Zbl 1037.35110) Full Text: DOI OpenURL
Yan, Guangwu; Yuan, Li Lattice Boltzmann model for the perfect gas flows with near-vacuum region. (English) Zbl 0994.76084 Commun. Nonlinear Sci. Numer. Simul. 5, No. 2, 58-63 (2000). MSC: 76M28 76N15 76P05 PDF BibTeX XML Cite \textit{G. Yan} and \textit{L. Yuan}, Commun. Nonlinear Sci. Numer. Simul. 5, No. 2, 58--63 (2000; Zbl 0994.76084) Full Text: DOI OpenURL
Lian, Yong-Sheng; Wang, Ruquan An implicit kinetic flux vector splitting scheme. (English) Zbl 0939.76066 Commun. Nonlinear Sci. Numer. Simul. 2, No. 3, electronic paper No. 12 (1997). MSC: 76M20 76N15 76P05 PDF BibTeX XML Cite \textit{Y.-S. Lian} and \textit{R. Wang}, Commun. Nonlinear Sci. Numer. Simul. 2, No. 3, electronic paper No. 12 (1997; Zbl 0939.76066) Full Text: DOI OpenURL
Qin, Wen-Xin Numerical dynamics of coupled system of J-J type. (English) Zbl 0924.65060 Commun. Nonlinear Sci. Numer. Simul. 2, No. 3, electronic paper No. 1 (1997). MSC: 65L05 37D45 34E10 PDF BibTeX XML Cite \textit{W.-X. Qin}, Commun. Nonlinear Sci. Numer. Simul. 2, No. 3, electronic paper No. 1 (1997; Zbl 0924.65060) Full Text: DOI OpenURL