相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrodinger Equation
Chaolong Jianig et al.
JOURNAL OF SCIENTIFIC COMPUTING (2022)
A fourth-order compact finite difference scheme for the quantum Zakharov system that perfectly inherits both mass and energy conservation
Yongyong Cai et al.
APPLIED NUMERICAL MATHEMATICS (2022)
GEOMETRIC INTEGRATION OF ODEs USING MULTIPLE QUADRATIC AUXILIARY VARIABLES
Benjamin K. Tapley
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2022)
Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach
Yuezheng Gong et al.
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS (2022)
A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation
Yue Chen et al.
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS (2022)
TIME SPLITTING COMBINED WITH EXPONENTIAL WAVE INTEGRATOR FOURIER PSEUDOSPECTRAL METHOD FOR QUANTUM ZAKHAROV SYSTEM
Gengen Zhang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2022)
Asymptotic preserving trigonometric integrators for the quantum Zakharov system
Simon Baumstark et al.
BIT NUMERICAL MATHEMATICS (2021)
A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach
Yayun Fu et al.
APPLIED NUMERICAL MATHEMATICS (2021)
Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation
Jin Cui et al.
COMPUTER PHYSICS COMMUNICATIONS (2021)
Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions
Lijie Mei et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2021)
A Conservative Linearly-Implicit Compact Difference Scheme for the Quantum Zakharov System
Gengen Zhang et al.
JOURNAL OF SCIENTIFIC COMPUTING (2021)
ARBITRARILY HIGH-ORDER UNCONDITIONALLY ENERGY STABLE SCHEMES FOR THERMODYNAMICALLY CONSISTENT GRADIENT FLOW MODELS
Yuezheng Gong et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2020)
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation
Chaolong Jiang et al.
APPLIED NUMERICAL MATHEMATICS (2020)
Semi-classical Limit for the Quantum Zakharov System
Yung-Fu Fang et al.
TAIWANESE JOURNAL OF MATHEMATICS (2019)
A Linearly Implicit and Local Energy-Preserving Scheme for the Sine-Gordon Equation Based on the Invariant Energy Quadratization Approach
Chaolong Jiang et al.
JOURNAL OF SCIENTIFIC COMPUTING (2019)
Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction
Aiguo Xiao et al.
APPLIED NUMERICAL MATHEMATICS (2019)
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
Jie Shen et al.
SIAM REVIEW (2019)
UNIFORM ERROR ESTIMATES OF THE CONSERVATIVE FINITE DIFFERENCE METHOD FOR THE ZAKHAROV SYSTEM IN THE SUBSONIC LIMIT REGIME
Yongyong Cai et al.
MATHEMATICS OF COMPUTATION (2018)
Functionally-fitted energy-preserving integrators for Poisson systems
Bin Wang et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
The scalar auxiliary variable (SAV) approach for gradient flows
Jie Shen et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
A UNIFORMLY AND OPTIMALLY ACCURATE METHOD FOR THE ZAKHAROV SYSTEM IN THE SUBSONIC LIMIT REGIME
Weizhu Bao et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2018)
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
Xiaofeng Yang et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2017)
UNIFORM ERROR BOUNDS OF A FINITE DIFFERENCE METHOD FOR THE ZAKHAROV SYSTEM IN THE SUBSONIC LIMIT REGIME VIA AN ASYMPTOTIC CONSISTENT FORMULATION
Weizhu Bao et al.
MULTISCALE MODELING & SIMULATION (2017)
A SIXTH ORDER AVERAGED VECTOR FIELD METHOD
Haochen Li et al.
JOURNAL OF COMPUTATIONAL MATHEMATICS (2016)
A CHARACTERIZATION OF ENERGY-PRESERVING METHODS AND THE CONSTRUCTION OF PARALLEL INTEGRATORS FOR HAMILTONIAN SYSTEMS
Yuto Miyatake et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2016)
FUNCTIONALLY FITTED ENERGY-PRESERVING METHODS FOR SOLVING OSCILLATORY NONLINEAR HAMILTONIAN SYSTEMS
Yu-Wen Li et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2016)
The fourth-order nonlinear Schrodinger limit for quantum Zakharov system
Yung-Fu Fang et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2016)
General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs
Yu-Wen Li et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2015)
Linear energy-preserving integrators for Poisson systems
David Cohen et al.
BIT NUMERICAL MATHEMATICS (2011)
Local discontinuous Galerkin methods for the generalized Zakharov system
Yinhua Xia et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2010)
Quantum and classical dynamics of Langmuir wave packets
F. Haas et al.
PHYSICAL REVIEW E (2009)
Pattern dynamics and spatiotemporal chaos in the quantum Zakharov equations
A. P. Misra et al.
PHYSICAL REVIEW E (2009)
A new class of energy-preserving numerical integration methods
G. R. W. Quispel et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2008)
A time-splitting spectral method for the generalized Zakharov system in multi-dimensions
S Jin et al.
JOURNAL OF SCIENTIFIC COMPUTING (2006)
Classical and quantum kinetics of the Zakharov system
M Marklund
PHYSICS OF PLASMAS (2005)
Efficient and stable numerical methods for the generalized and vector Zakharov system
WZ Bao et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2005)
Modified Zakharov equations for plasmas with a quantum correction
LG Garcia et al.
PHYSICS OF PLASMAS (2005)
Numerical simulation of a generalized Zakharov system
S Jin et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2004)
A result on the blow-up rate for the Zakharov system in dimension 3
V Masselin
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2001)