Liu, Kai; Zhang, Mingqian; You, Xiong A variant of the discrete gradient method for the solution of the semilinear wave equation under different boundary conditions. (English) Zbl 07813463 Comput. Math. Appl. 158, 199-218 (2024). MSC: 65-XX 37-XX PDFBibTeX XMLCite \textit{K. Liu} et al., Comput. Math. Appl. 158, 199--218 (2024; Zbl 07813463) Full Text: DOI
Yang, Huaijun; Jia, Xu Superconvergence error analysis of Ciarlet-Raviart mixed finite element method for damped Boussinesq equation. (English) Zbl 07784359 Comput. Math. Appl. 154, 199-211 (2024). MSC: 65N30 65M60 65M12 65M06 35J40 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X. Jia}, Comput. Math. Appl. 154, 199--211 (2024; Zbl 07784359) Full Text: DOI
Beck, Mélanie; Gander, Martin J.; Kwok, Felix B-methods for the numerical solution of evolution problems with blow-up solutions. II: Splitting methods. (English) Zbl 07801658 Comput. Math. Appl. 152, 143-154 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Beck} et al., Comput. Math. Appl. 152, 143--154 (2023; Zbl 07801658) Full Text: DOI
Kundaliya, Pari J.; Chaudhary, Sudhakar Symmetric fractional order reduction method with \(L1\) scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type. (English) Zbl 07750312 Comput. Math. Appl. 149, 128-134 (2023). MSC: 65M06 35R11 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{P. J. Kundaliya} and \textit{S. Chaudhary}, Comput. Math. Appl. 149, 128--134 (2023; Zbl 07750312) Full Text: DOI arXiv
Xu, Zhuangzhi; Fu, Yayun Two novel conservative exponential relaxation methods for the space-fractional nonlinear Schrödinger equation. (English) Zbl 07691988 Comput. Math. Appl. 142, 97-106 (2023). MSC: 65-XX 35Q55 65M06 65M12 35R11 65M70 PDFBibTeX XMLCite \textit{Z. Xu} and \textit{Y. Fu}, Comput. Math. Appl. 142, 97--106 (2023; Zbl 07691988) Full Text: DOI
Liu, Hongyan; Ma, Yanying; Li, Hu; Zhang, Wei Combination of discrete technique on graded meshes with barycentric rational interpolation for solving a class of time-dependent partial integro-differential equations with weakly singular kernels. (English) Zbl 07691974 Comput. Math. Appl. 141, 159-169 (2023). MSC: 65R20 65D05 45K05 35R11 65M70 PDFBibTeX XMLCite \textit{H. Liu} et al., Comput. Math. Appl. 141, 159--169 (2023; Zbl 07691974) Full Text: DOI
Shi, Dongyang; Zhang, Houchao Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator. (English) Zbl 1504.65213 Comput. Math. Appl. 128, 79-95 (2022). MSC: 65M60 35Q55 65M15 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Zhang}, Comput. Math. Appl. 128, 79--95 (2022; Zbl 1504.65213) Full Text: DOI
Mei, Yanhua; An, Rong Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system. (English) Zbl 1524.65578 Comput. Math. Appl. 122, 117-125 (2022). MSC: 65M60 35Q55 65M12 65M06 65M15 65B05 35Q41 65N30 PDFBibTeX XMLCite \textit{Y. Mei} and \textit{R. An}, Comput. Math. Appl. 122, 117--125 (2022; Zbl 1524.65578) Full Text: DOI
Al Jahdali, R.; Dalcin, L.; Boukharfane, R.; Nolasco, I. R.; Keyes, D. E.; Parsani, M. Optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics. (English) Zbl 1524.65264 Comput. Math. Appl. 118, 1-17 (2022). MSC: 65L06 65M12 65M60 76M10 PDFBibTeX XMLCite \textit{R. Al Jahdali} et al., Comput. Math. Appl. 118, 1--17 (2022; Zbl 1524.65264) Full Text: DOI
Castillo, Paul; Gómez, Sergio A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems. (English) Zbl 1524.65518 Comput. Math. Appl. 102, 45-53 (2021). MSC: 65M60 35Q55 65M70 65D07 65N35 35K41 65M15 65M06 65N30 PDFBibTeX XMLCite \textit{P. Castillo} and \textit{S. Gómez}, Comput. Math. Appl. 102, 45--53 (2021; Zbl 1524.65518) Full Text: DOI
Borges, J. S.; Ferreira, J. A.; Romanazzi, G.; Abreu, E. Drug release from viscoelastic polymeric matrices – a stable and supraconvergent FDM. (English) Zbl 1524.65318 Comput. Math. Appl. 99, 257-269 (2021). MSC: 65M06 35R09 65L05 82D60 35Q35 76A10 65M12 65M20 92C50 65M15 76Z05 PDFBibTeX XMLCite \textit{J. S. Borges} et al., Comput. Math. Appl. 99, 257--269 (2021; Zbl 1524.65318) Full Text: DOI
Cavalcanti, Marcelo M.; Corrêa, Wellington J.; Faminskii, Andrei V.; Sepúlveda C., Mauricio A.; Véjar-Asem, Rodrigo Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation. (English) Zbl 1524.35578 Comput. Math. Appl. 96, 188-208 (2021). MSC: 35Q55 35Q53 93D15 35B40 93B05 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Comput. Math. Appl. 96, 188--208 (2021; Zbl 1524.35578) Full Text: DOI
Ranocha, Hendrik; Dalcin, Lisandro; Parsani, Matteo Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier-Stokes equations. (English) Zbl 1524.65677 Comput. Math. Appl. 80, No. 5, 1343-1359 (2020). MSC: 65M70 65L06 65M12 35L65 35Q31 76N06 PDFBibTeX XMLCite \textit{H. Ranocha} et al., Comput. Math. Appl. 80, No. 5, 1343--1359 (2020; Zbl 1524.65677) Full Text: DOI arXiv
Tian, Zhikun; Chen, Yanping; Huang, Yunqing; Wang, Jianyun Two-grid method for the two-dimensional time-dependent Schrödinger equation by the finite element method. (English) Zbl 1442.65277 Comput. Math. Appl. 77, No. 12, 3043-3053 (2019). MSC: 65M60 65M15 35Q41 PDFBibTeX XMLCite \textit{Z. Tian} et al., Comput. Math. Appl. 77, No. 12, 3043--3053 (2019; Zbl 1442.65277) Full Text: DOI
Zhang, Shengliang A symplectic procedure for two-dimensional coupled elastic wave equations using radial basis functions interpolation. (English) Zbl 1442.65302 Comput. Math. Appl. 76, No. 9, 2167-2178 (2018). MSC: 65M70 35L53 35Q74 PDFBibTeX XMLCite \textit{S. Zhang}, Comput. Math. Appl. 76, No. 9, 2167--2178 (2018; Zbl 1442.65302) Full Text: DOI
Portillo, A. M. Near conserving energy numerical schemes for two-dimensional coupled seismic wave equations. (English) Zbl 1408.86007 Comput. Math. Appl. 75, No. 3, 1016-1037 (2018). MSC: 86A15 65M06 65M12 86-08 PDFBibTeX XMLCite \textit{A. M. Portillo}, Comput. Math. Appl. 75, No. 3, 1016--1037 (2018; Zbl 1408.86007) Full Text: DOI Link
Sheu, Tony W. H.; Wang, Y. C.; Li, J. H. Development of a 3D staggered FDTD scheme for solving Maxwell’s equations in Drude medium. (English) Zbl 1443.65141 Comput. Math. Appl. 71, No. 6, 1198-1226 (2016). MSC: 65M06 78A25 PDFBibTeX XMLCite \textit{T. W. H. Sheu} et al., Comput. Math. Appl. 71, No. 6, 1198--1226 (2016; Zbl 1443.65141) Full Text: DOI
Zhang, Shengliang; Chen, Siyan A meshless symplectic method for two-dimensional Schrödinger equation with radial basis functions. (English) Zbl 1368.65204 Comput. Math. Appl. 72, No. 9, 2143-2150 (2016). MSC: 65M70 35Q41 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{S. Chen}, Comput. Math. Appl. 72, No. 9, 2143--2150 (2016; Zbl 1368.65204) Full Text: DOI
Csomós, Petra; Faragó, István; Fekete, Imre Numerical stability for nonlinear evolution equations. (English) Zbl 1443.65077 Comput. Math. Appl. 70, No. 11, 2752-2761 (2015). MSC: 65J08 47H20 PDFBibTeX XMLCite \textit{P. Csomós} et al., Comput. Math. Appl. 70, No. 11, 2752--2761 (2015; Zbl 1443.65077) Full Text: DOI
Huang, Zhixiang; Xu, Jie; Sun, Bingbing; Wu, Bo; Wu, Xianliang A new solution of Schrödinger equation based on symplectic algorithm. (English) Zbl 1443.65128 Comput. Math. Appl. 69, No. 11, 1303-1312 (2015). MSC: 65M06 35Q41 37M15 PDFBibTeX XMLCite \textit{Z. Huang} et al., Comput. Math. Appl. 69, No. 11, 1303--1312 (2015; Zbl 1443.65128) Full Text: DOI
Zhang, Haixiang; Yang, Xuehua; Han, Xuli Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation. (English) Zbl 1369.35107 Comput. Math. Appl. 68, No. 12, Part A, 1710-1722 (2014). MSC: 35R11 35Q92 65M70 65M12 65D07 PDFBibTeX XMLCite \textit{H. Zhang} et al., Comput. Math. Appl. 68, No. 12, Part A, 1710--1722 (2014; Zbl 1369.35107) Full Text: DOI
Fekete, Imre; Faragó, István Stability concepts and their applications. (English) Zbl 1368.65073 Comput. Math. Appl. 67, No. 12, 2158-2170 (2014). MSC: 65J05 65J15 PDFBibTeX XMLCite \textit{I. Fekete} and \textit{I. Faragó}, Comput. Math. Appl. 67, No. 12, 2158--2170 (2014; Zbl 1368.65073) Full Text: DOI
Angulo, O.; López-Marcos, J. C.; López-Marcos, M. A. Analysis of an efficient integrator for a size-structured population model with a dynamical resource. (English) Zbl 1362.92058 Comput. Math. Appl. 68, No. 9, 941-961 (2014). MSC: 92D25 PDFBibTeX XMLCite \textit{O. Angulo} et al., Comput. Math. Appl. 68, No. 9, 941--961 (2014; Zbl 1362.92058) Full Text: DOI
MacDonald, Craig S.; Mackenzie, John A.; Ramage, Alison; Newton, Christopher J. P. Robust adaptive computation of a one-dimensional \(\mathbb Q\)-tensor model of nematic liquid crystals. (English) Zbl 1268.76004 Comput. Math. Appl. 64, No. 11, 3627-3640 (2012). MSC: 76A15 76M10 PDFBibTeX XMLCite \textit{C. S. MacDonald} et al., Comput. Math. Appl. 64, No. 11, 3627--3640 (2012; Zbl 1268.76004) Full Text: DOI
Roshan, Thoudam A Petrov-Galerkin method for solving the generalized regularized long wave (GRLW) equation. (English) Zbl 1247.65129 Comput. Math. Appl. 63, No. 5, 943-956 (2012). MSC: 65M60 35Q53 35A35 PDFBibTeX XMLCite \textit{T. Roshan}, Comput. Math. Appl. 63, No. 5, 943--956 (2012; Zbl 1247.65129) Full Text: DOI
Tsitouras, Ch.; Famelis, I. Th.; Simos, T. E. On modified Runge-Kutta trees and methods. (English) Zbl 1231.65118 Comput. Math. Appl. 62, No. 4, 2101-2111 (2011). MSC: 65L06 05C05 PDFBibTeX XMLCite \textit{Ch. Tsitouras} et al., Comput. Math. Appl. 62, No. 4, 2101--2111 (2011; Zbl 1231.65118) Full Text: DOI
Dubois, François; Lallemand, Pierre Quartic parameters for acoustic applications of lattice Boltzmann scheme. (English) Zbl 1225.76259 Comput. Math. Appl. 61, No. 12, 3404-3416 (2011). MSC: 76Q05 76M28 PDFBibTeX XMLCite \textit{F. Dubois} and \textit{P. Lallemand}, Comput. Math. Appl. 61, No. 12, 3404--3416 (2011; Zbl 1225.76259) Full Text: DOI arXiv
Peinado, J.; Ibáñez, J.; Arias, E.; Hernández, V. Adams-Bashforth and Adams-Moulton methods for solving differential Riccati equations. (English) Zbl 1207.65097 Comput. Math. Appl. 60, No. 11, 3032-3045 (2010). MSC: 65L06 65F10 PDFBibTeX XMLCite \textit{J. Peinado} et al., Comput. Math. Appl. 60, No. 11, 3032--3045 (2010; Zbl 1207.65097) Full Text: DOI
Dubois, François; Lallemand, Pierre; Tekitek, Mahdi On a superconvergent lattice Boltzmann boundary scheme. (English) Zbl 1193.76106 Comput. Math. Appl. 59, No. 7, 2141-2149 (2010). MSC: 76M28 35Q35 PDFBibTeX XMLCite \textit{F. Dubois} et al., Comput. Math. Appl. 59, No. 7, 2141--2149 (2010; Zbl 1193.76106) Full Text: DOI arXiv
Ma, Jingtang Convergence analysis of moving Godunov methods for dynamical boundary layers. (English) Zbl 1189.65198 Comput. Math. Appl. 59, No. 1, 80-93 (2010). MSC: 65M06 65M50 PDFBibTeX XMLCite \textit{J. Ma}, Comput. Math. Appl. 59, No. 1, 80--93 (2010; Zbl 1189.65198) Full Text: DOI
Dubois, François Equivalent partial differential equations of a lattice Boltzmann scheme. (English) Zbl 1142.76449 Comput. Math. Appl. 55, No. 7, 1441-1449 (2008). MSC: 76M28 65M99 PDFBibTeX XMLCite \textit{F. Dubois}, Comput. Math. Appl. 55, No. 7, 1441--1449 (2008; Zbl 1142.76449) Full Text: DOI arXiv
Jay, L. O. Preserving Poisson structure and orthogonality in numerical integration of differential equations. (English) Zbl 1067.65145 Comput. Math. Appl. 48, No. 1-2, 237-255 (2004). Reviewer: Werner M. Seiler (Heidelberg) MSC: 65P10 37M15 65L06 70E15 PDFBibTeX XMLCite \textit{L. O. Jay}, Comput. Math. Appl. 48, No. 1--2, 237--255 (2004; Zbl 1067.65145) Full Text: DOI
Choo, S. M.; Chung, S. K. Numerical solutions for the damped Boussinesq equation by FD-FFT-perturbation method. (English) Zbl 1078.65075 Comput. Math. Appl. 47, No. 6-7, 1135-1140 (2004). Reviewer: Eric Sonnendrücker (Strasbourg) MSC: 65M06 65M12 35Q53 65T50 PDFBibTeX XMLCite \textit{S. M. Choo} and \textit{S. K. Chung}, Comput. Math. Appl. 47, No. 6--7, 1135--1140 (2004; Zbl 1078.65075) Full Text: DOI
Xiao, Aiguo; Tang, Yifa Order properties of symplectic Runge-Kutta-Nyström methods. (English) Zbl 1155.65396 Comput. Math. Appl. 47, No. 4-5, 569-582 (2004). MSC: 65P10 37M15 65L06 PDFBibTeX XMLCite \textit{A. Xiao} and \textit{Y. Tang}, Comput. Math. Appl. 47, No. 4--5, 569--582 (2004; Zbl 1155.65396) Full Text: DOI
Muslu, G. M.; Erbay, H. A. A split-step Fourier method for the complex modified Korteweg-de Vries equation. (English) Zbl 1035.65111 Comput. Math. Appl. 45, No. 1-3, 503-514 (2003). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{G. M. Muslu} and \textit{H. A. Erbay}, Comput. Math. Appl. 45, No. 1--3, 503--514 (2003; Zbl 1035.65111) Full Text: DOI
Antohe, V.; Gladwell, I. Performance of Gauss implicit Runge-Kutta methods on separable Hamiltonian systems. (English) Zbl 1035.65153 Comput. Math. Appl. 45, No. 1-3, 481-501 (2003). MSC: 65P10 37M15 70F15 PDFBibTeX XMLCite \textit{V. Antohe} and \textit{I. Gladwell}, Comput. Math. Appl. 45, No. 1--3, 481--501 (2003; Zbl 1035.65153) Full Text: DOI
Calvo, M.; Laburta, M. P.; Montijano, J. I. Starting algorithms for Gauss Runge-Kutta methods for Hamiltonian systems. (English) Zbl 1035.65154 Comput. Math. Appl. 45, No. 1-3, 401-410 (2003). MSC: 65P10 37M15 65L06 PDFBibTeX XMLCite \textit{M. Calvo} et al., Comput. Math. Appl. 45, No. 1--3, 401--410 (2003; Zbl 1035.65154) Full Text: DOI
Basebi, T.; Thomas, R. M. A study of moving mesh methods applied to a thin flame propagating in a detonator delay element. (English) Zbl 1031.80011 Comput. Math. Appl. 45, No. 1-3, 131-163 (2003). MSC: 80M25 65M50 80A25 PDFBibTeX XMLCite \textit{T. Basebi} and \textit{R. M. Thomas}, Comput. Math. Appl. 45, No. 1--3, 131--163 (2003; Zbl 1031.80011) Full Text: DOI
Chen, Jing-Bo; Qin, Meng-Zhao; Tang, Yi-Fa Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation. (English) Zbl 1050.65127 Comput. Math. Appl. 43, No. 8-9, 1095-1106 (2002). MSC: 65P10 37M15 37K05 PDFBibTeX XMLCite \textit{J.-B. Chen} et al., Comput. Math. Appl. 43, No. 8--9, 1095--1106 (2002; Zbl 1050.65127) Full Text: DOI
Xiao, Ai-Guo; Tang, Yi-Fa Symplectic properties of multistep Runge-Kutta methods. (English) Zbl 1036.65111 Comput. Math. Appl. 44, No. 10-11, 1329-1338 (2002). MSC: 65P10 65L06 37M15 37J05 PDFBibTeX XMLCite \textit{A.-G. Xiao} and \textit{Y.-F. Tang}, Comput. Math. Appl. 44, No. 10--11, 1329--1338 (2002; Zbl 1036.65111) Full Text: DOI
Koto, T. Periodic orbits in the Euler method for a class of delay differential equations. (English) Zbl 1161.65367 Comput. Math. Appl. 42, No. 12, 1597-1608 (2001). MSC: 65P30 34K13 34K18 37G15 PDFBibTeX XMLCite \textit{T. Koto}, Comput. Math. Appl. 42, No. 12, 1597--1608 (2001; Zbl 1161.65367) Full Text: DOI
Garay, B. M. Estimates in discretizing normally hyperbolic compact invariant manifolds of ordinary differential equations. (English) Zbl 0986.37077 Comput. Math. Appl. 42, No. 8-9, 1103-1122 (2001). Reviewer: Manuel Calvo (Zaragoza) MSC: 37M99 37D10 65P99 PDFBibTeX XMLCite \textit{B. M. Garay}, Comput. Math. Appl. 42, No. 8--9, 1103--1122 (2001; Zbl 0986.37077) Full Text: DOI
Osman, E.-S.; Rida, S. Z. Multisoliton solution of a class of coupled soliton equations. (English) Zbl 0984.35137 Comput. Math. Appl. 41, No. 10-11, 1425-1430 (2001). MSC: 35Q51 35Q53 35C05 37K40 PDFBibTeX XMLCite \textit{E. S. Osman} and \textit{S. Z. Rida}, Comput. Math. Appl. 41, No. 10--11, 1425--1430 (2001; Zbl 0984.35137) Full Text: DOI
Xiao, Ai-Guo; Tang, Yi-Fa Regularity properties of one-leg methods for delay differential equations. (English) Zbl 0989.65080 Comput. Math. Appl. 41, No. 3-4, 363-372 (2001). Reviewer: Rudolf Scherer (Karlsruhe) MSC: 65L20 65L05 65L06 34K28 PDFBibTeX XMLCite \textit{A.-G. Xiao} and \textit{Y.-F. Tang}, Comput. Math. Appl. 41, No. 3--4, 363--372 (2001; Zbl 0989.65080) Full Text: DOI
Voss, D. A.; Khaliq, A. Q. M. A linearly implicit predicator-corrector method for reaction-diffusion equations. (English) Zbl 0973.65080 Comput. Math. Appl. 38, No. 11-12, 207-216 (1999). MSC: 65M20 65L06 92D40 92C40 35K57 65M12 65M06 PDFBibTeX XMLCite \textit{D. A. Voss} and \textit{A. Q. M. Khaliq}, Comput. Math. Appl. 38, No. 11--12, 207--216 (1999; Zbl 0973.65080) Full Text: DOI
Tsitouras, C. A high-order explicit Runge-Kutta pair for initial value problems with oscillating solutions. (English) Zbl 0942.65079 Comput. Math. Appl. 37, No. 6, 31-36 (1999). Reviewer: E.Schechter (Kaiserslautern) MSC: 65L06 65L05 34A34 65L20 65Y20 PDFBibTeX XMLCite \textit{C. Tsitouras}, Comput. Math. Appl. 37, No. 6, 31--36 (1999; Zbl 0942.65079) Full Text: DOI
Saucez, P.; Vande Wouwer, A.; Schiesser, W. E. An adaptive method of lines solution of the Korteweg-de Vries equation. (English) Zbl 0999.65098 Comput. Math. Appl. 35, No. 12, 13-25 (1998). MSC: 65M20 65M50 65M06 35Q53 PDFBibTeX XMLCite \textit{P. Saucez} et al., Comput. Math. Appl. 35, No. 12, 13--25 (1998; Zbl 0999.65098) Full Text: DOI
Brugnano, Luigi; Trigiante, Donato Boundary value methods: The third way between linear multistep and Runge-Kutta methods. (English) Zbl 0933.65082 Comput. Math. Appl. 36, No. 10-12, 269-284 (1998). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{L. Brugnano} and \textit{D. Trigiante}, Comput. Math. Appl. 36, No. 10--12, 269--284 (1998; Zbl 0933.65082) Full Text: DOI
Grote, K.; Meyer-Spasche, R. Euler-like discrete models of the logistic differential equation. (English) Zbl 0933.65141 Comput. Math. Appl. 36, No. 10-12, 211-225 (1998). MSC: 65P10 65L06 65L12 65L20 34A34 65L50 37M15 PDFBibTeX XMLCite \textit{K. Grote} and \textit{R. Meyer-Spasche}, Comput. Math. Appl. 36, No. 10--12, 211--225 (1998; Zbl 0933.65141) Full Text: DOI
Robinson, M. P. The solution of nonlinear Schrödinger equations using orthogonal spline collocation. (English) Zbl 0872.65092 Comput. Math. Appl. 33, No. 7, 39-57 (1997); corrigendum ibid. 35, No. 6, 151 (1998). MSC: 65M20 35Q55 65M70 PDFBibTeX XMLCite \textit{M. P. Robinson}, Comput. Math. Appl. 33, No. 7, 39--57 (1997; Zbl 0872.65092) Full Text: DOI
Tang, Y.-F.; Vázquez, L.; Zhang, F.; Pérez-García, V. M. Symplectic methods for the nonlinear Schrödinger equation. (English) Zbl 0858.65124 Comput. Math. Appl. 32, No. 5, 73-83 (1996). MSC: 65Z05 35Q55 PDFBibTeX XMLCite \textit{Y. F. Tang} et al., Comput. Math. Appl. 32, No. 5, 73--83 (1996; Zbl 0858.65124) Full Text: DOI
Carroll, J.; Stewart, S. A comparison of some adaptive space mesh solvers for the numerical solution of parabolic partial differential equations. (English) Zbl 0853.65093 Comput. Math. Appl. 31, No. 6, 97-115 (1996). Reviewer: N.F.F.Ebecken (Rio de Janeiro) MSC: 65M20 65M06 65Y20 65M60 35K15 PDFBibTeX XMLCite \textit{J. Carroll} and \textit{S. Stewart}, Comput. Math. Appl. 31, No. 6, 97--115 (1996; Zbl 0853.65093) Full Text: DOI
Garay, B. M. Various closeness concepts in numerical ODE’s. (English) Zbl 0880.65052 Comput. Math. Appl. 31, No. 4-5, 113-119 (1996). Reviewer: Z.Schneider (Bratislava) MSC: 65L05 37-XX PDFBibTeX XMLCite \textit{B. M. Garay}, Comput. Math. Appl. 31, No. 4--5, 113--119 (1996; Zbl 0880.65052) Full Text: DOI
Lee, H. Y. Fully discrete methods for the nonlinear Schrödinger equation. (English) Zbl 0808.65133 Comput. Math. Appl. 28, No. 6, 9-24 (1994). Reviewer: E.Lanckau (Chemnitz) MSC: 65Z05 65M20 65M60 35Q55 81Q05 65M12 PDFBibTeX XMLCite \textit{H. Y. Lee}, Comput. Math. Appl. 28, No. 6, 9--24 (1994; Zbl 0808.65133) Full Text: DOI
Fairweather, G.; López-Marcos, J. C. An explicit extrapolated box scheme for the Gurtin-MacCamy equation. (English) Zbl 0792.65108 Comput. Math. Appl. 27, No. 2, 41-53 (1994). MSC: 65R20 92D25 45G10 45K05 PDFBibTeX XMLCite \textit{G. Fairweather} and \textit{J. C. López-Marcos}, Comput. Math. Appl. 27, No. 2, 41--53 (1994; Zbl 0792.65108) Full Text: DOI
Tang, Y.-F. The necessary condition for a Runge-Kutta scheme to be symplectic for Hamiltonian systems. (English) Zbl 0777.65047 Comput. Math. Appl. 26, No. 1, 13-20 (1993). Reviewer: F.Ling (Hoboken) MSC: 65L06 65L05 37J99 PDFBibTeX XMLCite \textit{Y. F. Tang}, Comput. Math. Appl. 26, No. 1, 13--20 (1993; Zbl 0777.65047) Full Text: DOI
Zhu, Wen-Jie; Qin, Meng-Zhao Order conditions of two kinds of canonical difference schemes. (English) Zbl 0777.65041 Comput. Math. Appl. 25, No. 6, 61-74 (1993). Reviewer: H.Ade (Mainz) MSC: 65L05 65L12 65L06 37J99 PDFBibTeX XMLCite \textit{W.-J. Zhu} and \textit{M.-Z. Qin}, Comput. Math. Appl. 25, No. 6, 61--74 (1993; Zbl 0777.65041) Full Text: DOI
Tang, Yifa Non-conservativity of traditional schemes for Liouville and contact systems. (English) Zbl 0777.65040 Comput. Math. Appl. 25, No. 8, 89-94 (1993). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{Y. Tang}, Comput. Math. Appl. 25, No. 8, 89--94 (1993; Zbl 0777.65040) Full Text: DOI
Lopez-Marcos, J. C. An upwind scheme for a nonlinear hyperbolic integro-differential equation with integral boundary condition. (English) Zbl 0760.65128 Comput. Math. Appl. 22, No. 11, 15-28 (1991). Reviewer: P.Polcar (Brno) MSC: 65R20 45K05 92D25 PDFBibTeX XMLCite \textit{J. C. Lopez-Marcos}, Comput. Math. Appl. 22, No. 11, 15--28 (1991; Zbl 0760.65128) Full Text: DOI
Taha, Thiab R. A numerical scheme for the nonlinear Schrödinger equation. (English) Zbl 0755.65130 Comput. Math. Appl. 22, No. 9, 77-84 (1991). Reviewer: B.Burrows (Stafford) MSC: 65Q05 65Z05 35Q55 39A10 PDFBibTeX XMLCite \textit{T. R. Taha}, Comput. Math. Appl. 22, No. 9, 77--84 (1991; Zbl 0755.65130) Full Text: DOI
Hosseini, M.; Abadi, Ali; Ortiz, E. L. A Tau method based on non-uniform space-time elements for the numerical simulation of solitons. (English) Zbl 0755.65124 Comput. Math. Appl. 22, No. 9, 7-19 (1991). Reviewer: B.Burrows (Stafford) MSC: 65Z05 65N55 35Q55 81Q05 PDFBibTeX XMLCite \textit{M. Hosseini} et al., Comput. Math. Appl. 22, No. 9, 7--19 (1991; Zbl 0755.65124) Full Text: DOI
Wu, Y. The discrete variational approach to the Euler-Lagrange equation. (English) Zbl 0712.65065 Comput. Math. Appl. 20, No. 8, 61-75 (1990). Reviewer: S.F.Sburlan MSC: 65K10 49M15 49K15 PDFBibTeX XMLCite \textit{Y. Wu}, Comput. Math. Appl. 20, No. 8, 61--75 (1990; Zbl 0712.65065) Full Text: DOI
van Niekerk, A.; van Niekerk, F. D. A Galerkin method with rational basis functions for Burgers equation. (English) Zbl 0711.65105 Comput. Math. Appl. 20, No. 2, 45-51 (1990). Reviewer: S.F.Sburlan MSC: 65Z05 65M60 35Q53 76F99 76L05 PDFBibTeX XMLCite \textit{A. van Niekerk} and \textit{F. D. van Niekerk}, Comput. Math. Appl. 20, No. 2, 45--51 (1990; Zbl 0711.65105) Full Text: DOI
Qin, Mengzhao; Zhang, Meiqing Multi-stage symplectic schemes of two kinds of Hamiltonian systems for wave equations. (English) Zbl 0695.65072 Comput. Math. Appl. 19, No. 10, 51-62 (1990). Reviewer: Hou Zongyi MSC: 65Z05 65M12 37J99 70H05 35L05 PDFBibTeX XMLCite \textit{M. Qin} and \textit{M. Zhang}, Comput. Math. Appl. 19, No. 10, 51--62 (1990; Zbl 0695.65072) Full Text: DOI
Wu, Y. The generating function for the solution for ODE’s and its discrete methods. (English) Zbl 0654.65050 Comput. Math. Appl. 15, No. 12, 1041-1050 (1988). Reviewer: E.Wagenführer MSC: 65L05 65L20 34A34 70H05 PDFBibTeX XMLCite \textit{Y. Wu}, Comput. Math. Appl. 15, No. 12, 1041--1050 (1988; Zbl 0654.65050) Full Text: DOI
Baart, M. L.; McLeod, R. J. Y. Recursive calculation of curved finite element stiffness matrices. (English) Zbl 0574.65015 Comput. Math. Appl. 10, 387-397 (1984). Reviewer: N.F.F.Ebecken MSC: 65D32 65N30 PDFBibTeX XMLCite \textit{M. L. Baart} and \textit{R. J. Y. McLeod}, Comput. Math. Appl. 10, 387--397 (1984; Zbl 0574.65015) Full Text: DOI