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1.Numerical oscillation and non-oscillation for differential equation with piecewise continuous arguments of mixed type

作者：Jianfang Gao ^{11080915@163.com} ^{09151108@163.com}

关键词：Oscillation ; Numerical solution ; Runge&ndash ; Kutta method ; Delay differential equation

刊名：Applied Mathematics and Computation

出版年：2017

2.Multi-step Runge-Kutta-Nyström methods for special second-order initial value problems

作者：Jiyong Li ; ^{ljyong406@163.com} ; Xianfen Wang ^{xianfen00@163.com}

关键词：Multi-step Runge&ndash ; Kutta&ndash ; Nyströ ; m methods ; Order conditions ; Special Nyströ ; m-series ; Explicit methods ; Special second-order initial value problems

刊名：Applied Numerical Mathematics

出版年：2017

3.Highly stable implicit-explicit Runge-Kutta methods

作者：Giuseppe Izzo^a ; ¹ ; ^{giuseppe.izzo@unina.it} ; Zdzislaw Jackiewicz^b ; ^c ; ^{jackiewicz@asu.edu}

关键词：Runge&ndash ; Kutta methods ; Implicit&ndash ; explicit methods ; Stability analysis ; Strong stability preserving ; Courant&ndash ; Friedrichs&ndash ; Levy condition ; Hyperbolic conservation laws

刊名：Applied Numerical Mathematics

出版年：2017

4.Multidimensional Hall magnetohydrodynamics with isotropic or anisotropic thermal pressure: Numerical scheme and its validation using solitary waves

作者：Marek Strumik^a ; ¹ ; ^{mstrumik@gmail.com} ; Krzysztof Stasiewicz^b ; ^c

关键词：Hall magnetohydrodynamics ; Numerical methods ; Solitary waves ; Anisotropic pressure

刊名：Journal of Computational Physics

出版年：2017

5.Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations

作者：Wansheng Wang ^{w.s.wang@163.com" class="auth_mail" title="E-mail the corresponding author}

关键词：Neutral delay differential equations ; Long-time behaviour ; Uniform ultimate boundedness ; Runge&ndash ; Kutta methods

刊名：Journal of Computational and Applied Mathematics

出版年：2017

6.Properties-preserving high order numerical methods for a kinetic eikonal equation

作者：Songting Luo ; ^{luos@iastate.edu} ; Nicholas Payne ^{napayne@iastate.edu}

关键词：BGK equation ; Hopf&ndash ; Cole transformation ; Kinetic eikonal equation ; WENO ; Runge&ndash ; Kutta ; Godunov ; Properties-preserving

刊名：Journal of Computational Physics

出版年：2017

7.Segregated Runge-Kutta time integration of convection-stabilized mixed finite element schemes for wall-unresolved LES of incompressible flows

作者：Oriol Colomé ; s^a ; ^b ; ^{ocolomes@cimne.upc.edu} ; Santiago Badia^a ; ^c ; ^{sbadia@cimne.upc.edu}

关键词：Large eddy simulation ; Turbulence ; Variational multiscale ; Wall models ; Runge&ndash ; Kutta

刊名：Computer Methods in Applied Mechanics and Engineering

出版年：2017

8.Runge-Kutta restarters for multistep methods in presence of frequent discontinuities

作者：Fatemeh Mohammadi ; ^{fatemeh@maths.lth.se} ; Carmen Aré ; valo ; Claus Fü ; hrer

关键词：Multistep methods ; Runge&ndash ; Kutta methods ; Discontinuities ; Error estimation

刊名：Journal of Computational and Applied Mathematics

出版年：2017

9.Explicit Runge-Kutta schemes for incompressible flow with improved energy-conservation properties

作者：F. Capuano^a ; ^{francesco.capuano@unina.it" class="auth_mail" title="E-mail the corresponding author} ; G. Coppola^a ; L. Rá ; ndez^b ; L. de Luca^a

关键词：Energy conservation ; Incompressible Navier&ndash ; Stokes equations ; Runge&ndash ; Kutta method ; Pseudo-symplecticity ; Turbulence simulations

刊名：Journal of Computational Physics

出版年：2017

10.Spatial soliton propagation through a triangular waveguide: A Runge Kutta study

作者：S.Z. Seyed Shirazi^a ; M. Solaimani^b ; B. Farnam^a ; ^{behnaz_farnam@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; M. Ghalandari^b ; S.M.A. Aleomraninejad^a

关键词：4th order Runge Kutta method ; Spatial soliton propagation ; Nonlinear Schrö ; dinger equation

刊名：Optik - International Journal for Light and Electron Optics

出版年：2017

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