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1.G-symplectic second derivative general linear methods for Hamiltonian problems

作者：M. Hosseini Nasab ^{m_hosseininasab@tabrizu.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; G. Hojjati ; ^{ghojjati@tabrizu.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; A. Abdi ^{a_abdi@tabrizu.ac.ir" class="auth_mail" title="E-mail the corresponding author}

关键词：Hamiltonian problems ; General linear methods ; Second derivative methods ; G-symplecticity ; Parasitism

刊名：Journal of Computational and Applied Mathematics

出版年：2017

2.Stochastic symplectic methods based on the Padé approximations for linear stochastic Hamiltonian systems

作者：Liying Sun ; Lijin Wang ; ^{ljwang@ucas.ac.cn" class="auth_mail" title="E-mail the corresponding author}

关键词：Padé ; approximation ; Linear stochastic Hamiltonian systems ; Symplectic methods ; Root-mean-square convergence order

刊名：Journal of Computational and Applied Mathematics

出版年：2017

3.Symplectic waveform relaxation methods for Hamiltonian systems

作者：Yi Lu ^{luyi06@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Yao-Lin Jiang ; ¹ ; ^{yljiang@mail.xjtu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Bo Song ^{songxjtu@gmail.com" class="auth_mail" title="E-mail the corresponding author}

关键词：Waveform relaxation ; Hamiltonian system ; Symplectic method ; Symplectic waveform relaxation method

刊名：Applied Mathematics and Computation

出版年：2017

4.Modified symplectic schemes with nearly-analytic discrete operators for acoustic wave simulations

作者：Shaolin Liu^a ; Dinghui Yang^a ; ^{dhyang@math.tsinghua.edu.cn} ; Chao Lang^a ; Wenshuai Wang^b ; Zhide Pan^c

关键词：Acoustic wave equation ; Symplectic scheme ; Nearly analytic discrete method ; Perfectly matched layers

刊名：Computer Physics Communications

出版年：2017

5.Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs

作者：Wensheng Tang^a ; ^{tangws@lsec.cc.ac.cn} ; Yajuan Sun^b ; ^c ; ^{sunyj@lsec.cc.ac.cn} ; Wenjun Cai^d ; ^{wenjuncai1@gmail.com}

关键词：Discontinuous Galerkin method ; Hamiltonian systems ; Continuous-stage PRK method ; Symplectic PRK scheme ; Multi-symplectic PRK scheme ; Conservation laws

刊名：Journal of Computational Physics

出版年：2017

6.Symplectic method based on generating function for receding horizon control of linear time-varying systems

作者：Haijun Peng^a ; ^{hjpeng@dlut.edu.cn} ; Shujun Tan^b ; Qiang Gao^a ; Zhigang Wu^b

关键词：Receding horizon control ; Generating functions ; Linear time-varying systems ; Hamiltonian systems ; Symplectic method

刊名：European Journal of Control

出版年：2017

7.Explicit K-symplectic algorithms for charged particle dynamics

作者：Yang He^a ; Zhaoqi Zhou^b ; Yajuan Sun^b ; ^c ; ^{sunyj@lsec.cc.ac.cn} ; Jian Liu^d ; ^e ; Hong Qin^d ; ^f

关键词：Lorentz force equation ; K-symplectic integrator ; Splitting method ; Hamiltonian splitting ; Energy preservation

刊名：Physics Letters A

出版年：2017

8.The averaged Lagrangian method

作者：Elena Celledoni ^{elena.celledoni@math.ntnu.no} ; Eirik Hoel Hø ; iseth ; ^{eirik.hoiseth@math.ntnu.no}

关键词：Symplectic methods ; Variational integrators ; Averaged vector field method

刊名：Journal of Computational and Applied Mathematics

出版年：2017

9.Symplectic integrators for the matrix Hill equation

作者：Philipp Bader^a ; ^{p.bader@latrobe.edu.au} ; Sergio Blanes^b ; ^{serblaza@imm.upv.es} ; Enrique Ponsoda^b ; ^{eponsoda@imm.upv.es} ; Muaz Seydaoğlu^c ; ^{muasey@upvnet.upv.es}

关键词：65L07 ; 65L05 ; 65Z05

刊名：Journal of Computational and Applied Mathematics

出版年：2017

10.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

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