A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications
暂无分享,去创建一个
Z. Qiu | N. Jiang | global sci
[1] Junjie Wang. Symplectic‐preserving Fourier spectral scheme for space fractional Klein–Gordon–Schrödinger equations , 2020, Numerical Methods for Partial Differential Equations.
[2] Jialin Hong,et al. Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations , 2020, J. Comput. Phys..
[3] H. Matthies,et al. A modified parallelepiped model for non-probabilistic uncertainty quantification and propagation analysis , 2020 .
[4] Cristina Anton,et al. Explicit pseudo-symplectic methods based on generating functions for stochastic Hamiltonian systems , 2020, J. Comput. Appl. Math..
[5] Z. Qiu,et al. Random and interval uncertain symplectic methods for linear Birkhoff equations and their comparison study , 2020 .
[6] Haijun Peng,et al. A nonsmooth contact dynamic algorithm based on the symplectic method for multibody system analysis with unilateral constraints , 2020 .
[7] Hermann G. Matthies,et al. Random model with fuzzy distribution parameters for hybrid uncertainty propagation in engineering systems , 2020 .
[8] H. Matthies,et al. A comparative study of two interval-random models for hybrid uncertainty propagation analysis , 2020 .
[9] Haijun Peng,et al. A novel nonsmooth dynamics method for multibody systems with friction and impact based on the symplectic discrete format , 2019, International Journal for Numerical Methods in Engineering.
[10] Chengming Huang,et al. Error estimates of structure‐preserving Fourier pseudospectral methods for the fractional Schrödinger equation , 2019, Numerical Methods for Partial Differential Equations.
[11] Z. Qiu,et al. The perturbation series method based on the logarithm equation for fatigue crack growth prediction , 2019, Theoretical and Applied Fracture Mechanics.
[12] Chong Wang,et al. Hybrid evidence-and-fuzzy uncertainty propagation under a dual-level analysis framework , 2019, Fuzzy Sets Syst..
[13] Zhengjie Sun. A meshless symplectic method for two-dimensional nonlinear Schrödinger equations based on radial basis function approximation , 2019, Engineering Analysis with Boundary Elements.
[14] Yaowen Yang,et al. Structural design optimization based on hybrid time-variant reliability measure under non-probabilistic convex uncertainties , 2019, Applied Mathematical Modelling.
[15] Lei Wang,et al. A dynamic evolution scheme for structures with interval uncertainties by using bidirectional sequential Kriging method , 2019, Computer Methods in Applied Mechanics and Engineering.
[16] Qinghe Shi,et al. An iterative dimension-by-dimension method for structural interval response prediction with multidimensional uncertain variables , 2019, Aerospace Science and Technology.
[17] Z. Qiu,et al. Crack propagation in structures with uncertain-but-bounded parameters via interval perturbation method , 2018, Theoretical and Applied Fracture Mechanics.
[18] Wei-wei Cai,et al. Symplectic Runge-Kutta Method Based Numerical Solution for the Hamiltonian Model of Spacecraft Relative Motion , 2018, Lecture Notes in Electrical Engineering.
[19] Yufeng Xing,et al. Highly precise time integration method for linear structural dynamic analysis , 2018, International Journal for Numerical Methods in Engineering.
[20] Chengming Huang,et al. Structure-preserving numerical methods for the fractional Schrödinger equation , 2018, Applied Numerical Mathematics.
[21] Wensheng Tang,et al. A note on continuous-stage Runge-Kutta methods , 2018, Appl. Math. Comput..
[22] Pengbo Wang,et al. Parameter vertex method and its parallel solution for evaluating the dynamic response bounds of structures with interval parameters , 2018 .
[23] Jialin Hong,et al. Explicit pseudo-symplectic methods for stochastic Hamiltonian systems , 2018 .
[24] Zongmin Wu,et al. Meshless Conservative Scheme for Multivariate Nonlinear Hamiltonian PDEs , 2018, J. Sci. Comput..
[25] Dandan Yang,et al. A quasi-dynamic model and a symplectic algorithm of super slender Kirchhoff rod , 2017, Int. J. Model. Simul. Sci. Comput..
[26] Z. Qiu,et al. A modified stochastic perturbation algorithm for closely-spaced eigenvalues problems based on surrogate model , 2017 .
[27] Z. Qiu,et al. Predicting fatigue crack growth evolution via perturbation series expansion method based on the generalized multinomial theorem , 2016 .
[28] Wensheng Tang,et al. High order symplectic integrators based on continuous-stage Runge-Kutta-Nyström methods , 2015, Appl. Math. Comput..
[29] Wei Li,et al. A Symplectic Method for Dynamic Response of Structures , 2015 .
[30] H. Ouyang,et al. GENERALIZED MULTI-SYMPLECTIC METHOD FOR DYNAMIC RESPONSES OF CONTINUOUS BEAM UNDER MOVING LOAD , 2013 .
[31] Yushun Wang,et al. Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system , 2013, J. Comput. Phys..
[32] W. Xiang,et al. Iterative Perturbation Methods for Isolation Structure Dynamic Model Responses Calculation with Non-Classical Damping and its Correlation Analysis , 2011 .
[33] M. Qin,et al. Symplectic Geometric Algorithms for Hamiltonian Systems , 2010 .
[34] J. Cadou,et al. A study of the eigenvalue sensitivity by homotopy and perturbation methods , 2010, J. Comput. Appl. Math..
[35] Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .
[36] E. Hairer,et al. Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations , 2004 .
[37] P. Rentrop,et al. Multirate Partitioned Runge-Kutta Methods , 2001 .
[38] S. Reich. Multi-Symplectic Runge—Kutta Collocation Methods for Hamiltonian Wave Equations , 2000 .
[39] Zaijiu Shang,et al. KAM theorem of symplectic algorithms for Hamiltonian systems , 1999, Numerische Mathematik.
[40] M. Holmes. Introduction to Perturbation Methods , 1995 .
[41] F. Lasagni. Canonical Runge-Kutta methods , 1988 .
[42] Z. Qiu,et al. An ellipsoidal Newton’s iteration method of nonlinear structural systems with uncertain-but-bounded parameters , 2021 .
[43] Multi-scale Extracellular Matrix Mechanics and Mechanobiology , 2020, Studies in Mechanobiology, Tissue Engineering and Biomaterials.
[44] Jessica Daecher,et al. Introduction To Perturbation Techniques , 2016 .
[45] 苏红玲. Birkhoffian Symplectic Scheme for a Quantum System , 2010 .
[46] L. En. A Symplectic Algorithm for Dynamic Response Analysis of Timoshenko Beam , 2010 .
[47] M. J,et al. RUNGE-KUTTA SCHEMES FOR HAMILTONIAN SYSTEMS , 2005 .
[48] Kang Feng,et al. The symplectic methods for the computation of hamiltonian equations , 1987 .
[49] On Difference Schemes and Symplectic Geometry ? X1 Introductory Remarks , 2022 .