Li, Jinze; Yu, Kaiping; Zhao, Rui Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics. (English) Zbl 07532557 Comput. Methods Appl. Mech. Eng. 395, Article ID 114945, 36 p. (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{J. Li} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 114945, 36 p. (2022; Zbl 07532557) Full Text: DOI OpenURL
Dang, Quang A; Dang, Quang Long Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem. (English) Zbl 1483.34026 Numer. Algorithms 87, No. 4, 1479-1499 (2021). Reviewer: Saurabh Tomar (Kharagpur) MSC: 34A45 34B15 65L10 PDF BibTeX XML Cite \textit{Q. A Dang} and \textit{Q. L. Dang}, Numer. Algorithms 87, No. 4, 1479--1499 (2021; Zbl 1483.34026) Full Text: DOI arXiv OpenURL
Helzel, Christiane A third-order accurate wave propagation algorithm for hyperbolic partial differential equations. (English) Zbl 1476.65206 Commun. Appl. Math. Comput. 2, No. 3, 403-427 (2020). MSC: 65M08 76M12 PDF BibTeX XML Cite \textit{C. Helzel}, Commun. Appl. Math. Comput. 2, No. 3, 403--427 (2020; Zbl 1476.65206) Full Text: DOI OpenURL
Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David An efficient third-order WENO scheme with unconditionally optimal accuracy. (English) Zbl 1434.65106 SIAM J. Sci. Comput. 42, No. 2, A1028-A1051 (2020). MSC: 65M06 PDF BibTeX XML Cite \textit{A. Baeza} et al., SIAM J. Sci. Comput. 42, No. 2, A1028--A1051 (2020; Zbl 1434.65106) Full Text: DOI OpenURL
Zhang, Chengjian; Wu, Jingwen; Zhao, Weidong One-step multi-derivative methods for backward stochastic differential equations. (English) Zbl 1463.60092 Numer. Math., Theory Methods Appl. 12, No. 4, 1213-1230 (2019). MSC: 60H35 65C30 PDF BibTeX XML Cite \textit{C. Zhang} et al., Numer. Math., Theory Methods Appl. 12, No. 4, 1213--1230 (2019; Zbl 1463.60092) Full Text: DOI OpenURL
Huang, Juntao; Zhao, Weifeng; Shu, Chi-Wang A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows. (English) Zbl 1444.35125 J. Sci. Comput. 79, No. 2, 1015-1056 (2019). MSC: 35Q31 76V05 76M20 PDF BibTeX XML Cite \textit{J. Huang} et al., J. Sci. Comput. 79, No. 2, 1015--1056 (2019; Zbl 1444.35125) Full Text: DOI OpenURL
Rehman, Asad; Qamar, Shamsul High order finite-volume WENO scheme for five-equation model of compressible two-fluid flow. (English) Zbl 1442.65205 Comput. Math. Appl. 76, No. 11-12, 2648-2664 (2018). MSC: 65M08 76M12 PDF BibTeX XML Cite \textit{A. Rehman} and \textit{S. Qamar}, Comput. Math. Appl. 76, No. 11--12, 2648--2664 (2018; Zbl 1442.65205) Full Text: DOI OpenURL
Jha, Navnit; Kumar, Neelesh; Sharma, Kapil K. A third (four) order accurate, nine-point compact scheme for mildly-nonlinear elliptic equations in two space variables. (English) Zbl 1371.65111 Differ. Equ. Dyn. Syst. 25, No. 2, 223-237 (2017). MSC: 65N06 35J60 65N15 65N12 65N50 PDF BibTeX XML Cite \textit{N. Jha} et al., Differ. Equ. Dyn. Syst. 25, No. 2, 223--237 (2017; Zbl 1371.65111) Full Text: DOI OpenURL
Shen, Yan; Zhang, Liling; Zhang, Qizhi; Di, Dajun Optimization and its application for GM (1,1) model based on the third and the fourth order Runge-Kutta method. (Chinese. English summary) Zbl 1363.93037 Math. Pract. Theory 46, No. 7, 168-173 (2016). MSC: 93A30 62M20 93C41 65L06 PDF BibTeX XML Cite \textit{Y. Shen} et al., Math. Pract. Theory 46, No. 7, 168--173 (2016; Zbl 1363.93037) OpenURL
Liu, Jian-Guo; Liu, Jie; Pego, Robert L. Stable and accurate pressure approximation for unsteady incompressible viscous flow. (English) Zbl 1307.76029 J. Comput. Phys. 229, No. 9, 3428-3453 (2010). MSC: 76D05 35Q30 65M15 65M60 76M25 PDF BibTeX XML Cite \textit{J.-G. Liu} et al., J. Comput. Phys. 229, No. 9, 3428--3453 (2010; Zbl 1307.76029) Full Text: DOI OpenURL
Zhang, Kun; Wang, Liangbi; Chang, Yingxiang Accuracy of third-order finite difference schemes for second derivative approximation on non-uniform grids. (English) Zbl 1139.65014 Int. J. Pure Appl. Math. 41, No. 6, 867-872 (2007). MSC: 65D25 PDF BibTeX XML Cite \textit{K. Zhang} et al., Int. J. Pure Appl. Math. 41, No. 6, 867--872 (2007; Zbl 1139.65014) OpenURL
Caraeni, D.; Fuchs, L. Compact third-order multidimensional upwind scheme for Navier-Stokes simulations. (English) Zbl 1006.76062 Theor. Comput. Fluid Dyn. 15, No. 6, 373-401 (2002). MSC: 76M10 76N15 PDF BibTeX XML Cite \textit{D. Caraeni} and \textit{L. Fuchs}, Theor. Comput. Fluid Dyn. 15, No. 6, 373--401 (2002; Zbl 1006.76062) Full Text: DOI OpenURL
Beskok, Ali; Warburton, Timothy C. An unstructured \(hp\) finite-element scheme for fluid flow and heat transfer in moving domains. (English) Zbl 0995.76043 J. Comput. Phys. 174, No. 2, 492-509 (2001). MSC: 76M10 76D05 80A20 80M10 PDF BibTeX XML Cite \textit{A. Beskok} and \textit{T. C. Warburton}, J. Comput. Phys. 174, No. 2, 492--509 (2001; Zbl 0995.76043) Full Text: DOI OpenURL
Rezgui, Ali; Cinnella, Paola; Lerat, Alain Third-order accurate finite volume schemes for Euler computations on curvilinear meshes. (English) Zbl 0995.76055 Comput. Fluids 30, No. 7-8, 875-901 (2001). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{A. Rezgui} et al., Comput. Fluids 30, No. 7--8, 875--901 (2001; Zbl 0995.76055) Full Text: DOI OpenURL
Lerat, Alain; Corre, Christophe A residual-based compact scheme for the compressible Navier-Stokes equations. (English) Zbl 1005.76069 J. Comput. Phys. 170, No. 2, 642-675 (2001). MSC: 76M20 76N15 PDF BibTeX XML Cite \textit{A. Lerat} and \textit{C. Corre}, J. Comput. Phys. 170, No. 2, 642--675 (2001; Zbl 1005.76069) Full Text: DOI OpenURL
Pinchukov, V. I. On numerical investigation of transonic turbulent flows near a wing by implicit higher-order schemes. (Russian. English summary) Zbl 0967.76071 Vychisl. Tekhnol. 6, No. 2, 110-121 (2001). Reviewer: V.Grebenev (Novosibirsk) MSC: 76M20 76H05 76F40 PDF BibTeX XML Cite \textit{V. I. Pinchukov}, Vychisl. Tekhnol. 6, No. 2, 110--121 (2001; Zbl 0967.76071) OpenURL
Balaguer, A.; Conde, C.; López, J. A.; Martínez, V. A finite volume method with a modified ENO scheme using a Hermite interpolation to solve advection-diffusion equations. (English) Zbl 1008.76049 Int. J. Numer. Methods Eng. 50, No. 10, 2339-2371 (2001). MSC: 76M12 76R99 PDF BibTeX XML Cite \textit{A. Balaguer} et al., Int. J. Numer. Methods Eng. 50, No. 10, 2339--2371 (2001; Zbl 1008.76049) Full Text: DOI OpenURL
Meyer, O.; Reichhoff, B.; Schneider, Manfred Analytical theories of satellite motion constructed with a new package of formula manipulation and compared with numerical integration. (English) Zbl 1002.70023 Celest. Mech. Dyn. Astron. 76, No. 2, 121-129 (2000). Reviewer: Gasanbek Arazov (Baku) MSC: 70M20 70-08 68W30 70K60 PDF BibTeX XML Cite \textit{O. Meyer} et al., Celest. Mech. Dyn. Astron. 76, No. 2, 121--129 (2000; Zbl 1002.70023) Full Text: DOI OpenURL
Govatsos, P. A.; Papantonis, D. E. A characteristic-based method for the calculation of three-dimensional incompressible, turbulent and steady flows in hydraulic turbomachines and installations. (English) Zbl 0984.76054 Int. J. Numer. Methods Fluids 34, No. 1, 1-30 (2000). MSC: 76M12 76D05 76U05 76F10 PDF BibTeX XML Cite \textit{P. A. Govatsos} and \textit{D. E. Papantonis}, Int. J. Numer. Methods Fluids 34, No. 1, 1--30 (2000; Zbl 0984.76054) Full Text: DOI OpenURL
Xiao, F.; Yabe, T.; Ebisuzaki, T. An oscillation suppressing semi-Lagrangian solver for advection equation. (English) Zbl 1003.65117 Comput. Phys. Commun. 116, No. 1, 121-135 (1999). MSC: 65M70 35L45 35-04 65M15 PDF BibTeX XML Cite \textit{F. Xiao} et al., Comput. Phys. Commun. 116, No. 1, 121--135 (1999; Zbl 1003.65117) Full Text: DOI OpenURL
van der Sman, R. G. M.; Ernst, M. H. Diffusion lattice Boltzmann scheme on a orthorhombic lattice. (English) Zbl 0941.76067 J. Stat. Phys. 94, No. 1-2, 203-217 (1999). MSC: 76M28 76P05 82B40 82B20 PDF BibTeX XML Cite \textit{R. G. M. van der Sman} and \textit{M. H. Ernst}, J. Stat. Phys. 94, No. 1--2, 203--217 (1999; Zbl 0941.76067) Full Text: DOI OpenURL
Nikitin, N. V. Numerical simulation of turbulent flows in a pipe of square cross-section. (English. Russian original) Zbl 0948.76601 Phys.-Dokl. 42, No. 3, 158-162 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 353, No. 3, 338-342 (1997). MSC: 76M25 76M20 76F10 PDF BibTeX XML Cite \textit{N. V. Nikitin}, Phys.-Dokl. 42, No. 3, 158--162 (1997; Zbl 0948.76601); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 353, No. 3, 338--342 (1997) OpenURL
Dehombreux, Pierre; Verlinden, Olivier; Conti, Calogero An implicit multistage integration method including projection for the numerical simulation of constrained multibody systems. (English) Zbl 0916.70003 Multibody Syst. Dyn. 1, No. 4, 405-424 (1997). Reviewer: Ll.G.Chambers (Bangor) MSC: 70-08 70E15 65L06 PDF BibTeX XML Cite \textit{P. Dehombreux} et al., Multibody Syst. Dyn. 1, No. 4, 405--424 (1997; Zbl 0916.70003) Full Text: DOI OpenURL
Xiao, F.; Yabe, T.; Ito, T. Constructing oscillation preventing scheme for advection equation by rational function. (English) Zbl 0921.76118 Comput. Phys. Commun. 93, No. 1, 1-12 (1996). MSC: 76M25 76R99 65D07 PDF BibTeX XML Cite \textit{F. Xiao} et al., Comput. Phys. Commun. 93, No. 1, 1--12 (1996; Zbl 0921.76118) Full Text: DOI OpenURL
Jing, Bing-Yi Some resampling procedures under symmetry. (English) Zbl 0853.62036 Aust. J. Stat. 37, No. 3, 337-344 (1995). MSC: 62G09 PDF BibTeX XML Cite \textit{B.-Y. Jing}, Aust. J. Stat. 37, No. 3, 337--344 (1995; Zbl 0853.62036) Full Text: DOI OpenURL
Fujima, Shoichi; Tabata, Masahisa; Fukasawa, Yasuji Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up- and downwind points. (English) Zbl 0854.76051 Comput. Methods Appl. Mech. Eng. 112, No. 1-4, 109-131 (1994). MSC: 76M10 76D05 PDF BibTeX XML Cite \textit{S. Fujima} et al., Comput. Methods Appl. Mech. Eng. 112, No. 1--4, 109--131 (1994; Zbl 0854.76051) Full Text: DOI OpenURL
Fraser, D. A. S.; Reid, N. Third order asymptotic models: likelihood functions leading to accurate approximations for distribution functions. (English) Zbl 0831.62016 Stat. Sin. 3, No. 1, 67-82 (1993). MSC: 62E17 62E20 PDF BibTeX XML Cite \textit{D. A. S. Fraser} and \textit{N. Reid}, Stat. Sin. 3, No. 1, 67--82 (1993; Zbl 0831.62016) OpenURL
Jiang, Chun Bo; Kawahara, Mutsuto The analysis of unsteady incompressible flows by a three-step finite element method. (English) Zbl 0772.76036 Int. J. Numer. Methods Fluids 16, No. 9, 793-811 (1993). MSC: 76M10 76D05 65M12 PDF BibTeX XML Cite \textit{C. B. Jiang} and \textit{M. Kawahara}, Int. J. Numer. Methods Fluids 16, No. 9, 793--811 (1993; Zbl 0772.76036) Full Text: DOI OpenURL
Jiang, Chun Bo; Kawahara, Mutsuto A three-step finite element method for unsteady incompressible flows. (English) Zbl 0771.76038 Comput. Mech. 11, No. 5-6, 355-370 (1993). MSC: 76M10 76D05 PDF BibTeX XML Cite \textit{C. B. Jiang} and \textit{M. Kawahara}, Comput. Mech. 11, No. 5--6, 355--370 (1993; Zbl 0771.76038) Full Text: DOI OpenURL
Nixon, J. B.; Noye, B. J. Explicit three-point three-level FDMS for the one-dimensional constant- coefficient advection-diffusion equation. (English) Zbl 0748.76079 Comput. Math. Appl. 22, No. 11, 47-58 (1991). MSC: 76M20 76R50 65M06 PDF BibTeX XML Cite \textit{J. B. Nixon} and \textit{B. J. Noye}, Comput. Math. Appl. 22, No. 11, 47--58 (1991; Zbl 0748.76079) Full Text: DOI OpenURL
Abia, L.; Sanz-Serna, J. M. A spectral method for a nonlinear equation arising in fluidized bed modelling. (English) Zbl 0734.65081 Numerical treatment of differential equations, Sel. Pap. 5th Int. Semin., NUMDIFF-5, Halle/Ger. 1989, Teubner-Texte Math. 121, 285-292 (1991). Reviewer: L.Abia MSC: 65M70 65M12 35K55 PDF BibTeX XML OpenURL
Friedman, Alex A second-order implicit particle mover with adjustable damping. (English) Zbl 0701.76121 J. Comput. Phys. 90, No. 2, 292-312 (1990). MSC: 76X05 76M20 PDF BibTeX XML Cite \textit{A. Friedman}, J. Comput. Phys. 90, No. 2, 292--312 (1990; Zbl 0701.76121) Full Text: DOI OpenURL
Levykin, A. I.; Novikov, E. A. A one-step method of third accuracy order for the solution of implicit systems of ordinary differential equations. (Russian) Zbl 0726.65075 Model. Mekh. 3(20), No. 4, 90-101 (1989). Reviewer: S.Gocheva-Ilieva (El Menara) MSC: 65L05 34A34 PDF BibTeX XML OpenURL
Pospelov, V. A. An algorithm for the numerical solution of ordinary differential equations of second and higher orders. (English. Russian original) Zbl 0719.65064 U.S.S.R. Comput. Math. Math. Phys. 29, No. 6, 100-101 (1989); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 11, 1740-1741 (1989). MSC: 65L05 34A34 PDF BibTeX XML Cite \textit{V. A. Pospelov}, U.S.S.R. Comput. Math. Math. Phys. 29, No. 6, 100--101 (1989; Zbl 0719.65064); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 11, 1740--1741 (1989) Full Text: DOI OpenURL
Pospelov, V. A. An algorithm for numerical solution of ordinary differential equations of second and higher orders. (Russian) Zbl 0686.65036 Zh. Vychisl. Mat. Mat. Fiz. 29, No. 11, 1740-1741 (1989). Reviewer: M.Bartušek MSC: 65L05 34A34 PDF BibTeX XML Cite \textit{V. A. Pospelov}, Zh. Vychisl. Mat. Mat. Fiz. 29, No. 11, 1740--1741 (1989; Zbl 0686.65036) OpenURL
Leonard, B. P. Simple high-accuracy resolution program for convective modelling of discontinuities. (English) Zbl 0667.76125 Int. J. Numer. Methods Fluids 8, No. 10, 1291-1318 (1988). MSC: 76R05 76M99 PDF BibTeX XML Cite \textit{B. P. Leonard}, Int. J. Numer. Methods Fluids 8, No. 10, 1291--1318 (1988; Zbl 0667.76125) Full Text: DOI OpenURL
Bradley, D.; Missaghi, M.; Chin, S. B. A Taylor-series approach to numerical accuracy and a third-order scheme for strong convective flows. (English) Zbl 0631.76100 Comput. Methods Appl. Mech. Eng. 69, No. 2, 131-151 (1988). MSC: 76R05 76M99 PDF BibTeX XML Cite \textit{D. Bradley} et al., Comput. Methods Appl. Mech. Eng. 69, No. 2, 131--151 (1988; Zbl 0631.76100) Full Text: DOI OpenURL
Kujawski, J.; Wiberg, N.-E. Least-squares schemes for time integration of thermal problems. (English) Zbl 0621.65117 Int. J. Numer. Methods Eng. 24, 159-175 (1987). Reviewer: C.A.de Moura MSC: 65N30 65N15 65N12 35K60 PDF BibTeX XML Cite \textit{J. Kujawski} and \textit{N. E. Wiberg}, Int. J. Numer. Methods Eng. 24, 159--175 (1987; Zbl 0621.65117) Full Text: DOI OpenURL
Mazepa, N. E.; Serdyukova, S. I. Analysis of the stability of a difference boundary value problem using a set of analytical calculations. (English. Russian original) Zbl 0612.65098 Sov. Math. 29, No. 10, 70-77 (1985); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1985, No. 10(281), 55-61 (1985). Reviewer: L.G.Vulkov MSC: 65R20 45K05 PDF BibTeX XML OpenURL
Kawamura, Tetuya; Takami, Hideo; Kuwahara, Kunio New higher-order upwind scheme for incompressible Navier-Stokes equations. (English) Zbl 0587.76042 Numerical methods in fluid dynamics, 9th int. Conf., Gif-sur- Yvette/France 1984, Lect. Notes Phys. 218, 291-295 (1985). MSC: 76D05 76D10 76F99 76M99 65N06 PDF BibTeX XML OpenURL
Jafroudi, Hamid; Yang, H. T. Computation of steady laminar flow over a circular cylinder with third- order boundary conditions. (English) Zbl 0503.76043 J. Comput. Phys. 49, 181-198 (1983). MSC: 76D05 76M99 PDF BibTeX XML Cite \textit{H. Jafroudi} and \textit{H. T. Yang}, J. Comput. Phys. 49, 181--198 (1983; Zbl 0503.76043) Full Text: DOI OpenURL
Zhou, Qingfu Interaction of two solitary waves at right angles. (Chinese) Zbl 0505.76034 Acta Mech. Sin. 1982, 354-362 (1982). MSC: 76B25 PDF BibTeX XML Cite \textit{Q. Zhou}, Acta Mech. Sin. 1982, 354--362 (1982; Zbl 0505.76034) OpenURL
Aristov, V. V.; Shakhov, E. M. The problem of an intense explosion in a rarefied gas. (English) Zbl 0444.76053 U.S.S.R. Comput. Math. Math. Phys. 19, No. 5, 190-201 (1980). MSC: 76P05 82B40 45K05 65R20 33C45 65R10 76L05 PDF BibTeX XML Cite \textit{V. V. Aristov} and \textit{E. M. Shakhov}, U.S.S.R. Comput. Math. Math. Phys. 19, No. 5, 190--201 (1980; Zbl 0444.76053) Full Text: DOI OpenURL
Aristov, V. V.; Shakhov, E. M. Ein Problem über eine starke Explosion in einem verdünnten Gas. (Russian) Zbl 0437.76068 Zh. Vychisl. Mat. Mat. Fiz. 19, 1276-1287 (1979). MSC: 76P05 82B40 45K05 65R20 33C45 65R10 76L05 PDF BibTeX XML Cite \textit{V. V. Aristov} and \textit{E. M. Shakhov}, Zh. Vychisl. Mat. Mat. Fiz. 19, 1276--1287 (1979; Zbl 0437.76068) OpenURL
Steppeler, J. Difference schemes with uniform second and third order accuracy and reduced smoothing. (English) Zbl 0409.65039 J. Comput. Phys. 31, 438-449 (1979). MSC: 65M06 65N06 86A10 PDF BibTeX XML Cite \textit{J. Steppeler}, J. Comput. Phys. 31, 438--449 (1979; Zbl 0409.65039) Full Text: DOI OpenURL