Fast L2-1σ Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives
出版年份 2021 全文链接
标题
Fast L2-1σ Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives
作者
关键词
Generalized nonlinear coupled Schrödinger equations, L2-1, formula, FEM, Unconditional convergence, Fast algorithm
出版物
APPLIED MATHEMATICS AND COMPUTATION
Volume 416, Issue -, Pages 126734
出版商
Elsevier BV
发表日期
2021-10-26
DOI
10.1016/j.amc.2021.126734
参考文献
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注意:仅列出部分参考文献,下载原文获取全部文献信息。- Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation
- (2021) Ying Wang et al. NUMERICAL ALGORITHMS
- Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework
- (2021) Meng Li et al. IMA JOURNAL OF NUMERICAL ANALYSIS
- A parallel-in-time iterative algorithm for Volterra partial integral-differential problems with weakly singular kernel
- (2020) Xian-Ming Gu et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations
- (2020) Baoli Yin et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- (2019) Hong-lin Liao et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations
- (2019) Meng Li et al. NUMERICAL ALGORITHMS
- Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation
- (2019) Meng Li et al. APPLIED NUMERICAL MATHEMATICS
- Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation
- (2019) Meng Li et al. NUMERICAL ALGORITHMS
- Unconditional superconvergence analysis of a linearized Crank–Nicolson Galerkin FEM for generalized Ginzburg–Landau equation
- (2019) Meng Li et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Nonconforming Virtual Element Method for the Time Fractional Reaction–Subdiffusion Equation with Non-smooth Data
- (2019) Meng Li et al. JOURNAL OF SCIENTIFIC COMPUTING
- Unconditionally Superclose Analysis of a New Mixed Finite Element Method for Nonlinear Parabolic Equation
- (2018) Dongyang Shi et al. JOURNAL OF COMPUTATIONAL MATHEMATICS
- Galerkin finite element method for two-dimensional space and time fractional Bloch–Torrey equation
- (2017) Yue Zhao et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Unconditional Superconvergence Analysis of a Crank–Nicolson Galerkin FEM for Nonlinear Schrödinger Equation
- (2017) Dongyang Shi et al. JOURNAL OF SCIENTIFIC COMPUTING
- Fast Iterative Method with a Second-Order Implicit Difference Scheme for Time-Space Fractional Convection–Diffusion Equation
- (2017) Xian-Ming Gu et al. JOURNAL OF SCIENTIFIC COMPUTING
- The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations
- (2017) Guang-hua Gao et al. JOURNAL OF SCIENTIFIC COMPUTING
- Unconditionally Optimal Error Analysis of Crank–Nicolson Galerkin FEMs for a Strongly Nonlinear Parabolic System
- (2017) Dongfang Li et al. JOURNAL OF SCIENTIFIC COMPUTING
- Unconditional superconvergence analysis of an H 1 -galerkin mixed finite element method for nonlinear Sobolev equations
- (2017) Dongyang Shi et al. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- (2017) Martin Stynes et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- (2017) Dongfang Li et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Galerkin finite element method for higher dimensional multi-term fractional diffusion equation on non-uniform meshes
- (2016) Meng Li et al. APPLICABLE ANALYSIS
- A linear finite difference scheme for generalized time fractional Burgers equation
- (2016) Dongfang Li et al. APPLIED MATHEMATICAL MODELLING
- Superconvergence analysis for nonlinear parabolic equation with EQ_1^\mathrmrot E Q 1 rot nonconforming finite element
- (2016) Dongyang Shi et al. COMPUTATIONAL & APPLIED MATHEMATICS
- Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain
- (2016) Dongfang Li et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Unconditional Superconvergence Analysis for Nonlinear Parabolic Equation with $${\textit{EQ}}_1^{rot}$$ EQ 1 r o t Nonconforming Finite Element
- (2016) Dongyang Shi et al. JOURNAL OF SCIENTIFIC COMPUTING
- Superconvergence analysis for nonlinear parabolic equation with EQ_1^\mathrmrot E Q 1 rot nonconforming finite element
- (2016) Dongyang Shi et al. computational and applied mathematics
- Probability Structure of Time Fractional Schrödinger Equation
- (2016) A. Tofighi ACTA PHYSICA POLONICA A
- A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations
- (2015) A.H. Bhrawy et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A new difference scheme for the time fractional diffusion equation
- (2015) Anatoly A. Alikhanov JOURNAL OF COMPUTATIONAL PHYSICS
- Unconditional Optimal Error Estimates of BDF–Galerkin FEMs for Nonlinear Thermistor Equations
- (2015) Huadong Gao JOURNAL OF SCIENTIFIC COMPUTING
- Ground states and concentration phenomena for the fractional Schrödinger equation
- (2015) Mouhamed Moustapha Fall et al. NONLINEARITY
- Unconditional stability and error estimates of modified characteristics FEMs for the Navier–Stokes equations
- (2015) Zhiyong Si et al. NUMERISCHE MATHEMATIK
- Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation
- (2015) Leilei Wei et al. Advances in Applied Mathematics and Mechanics
- A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media
- (2014) Jilu Wang et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations
- (2014) Buyang Li et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- A new Jacobi spectral collocation method for solving 1+1 fractional Schrödinger equations and fractional coupled Schrödinger systems
- (2014) A. H. Bhrawy et al. European Physical Journal Plus
- Soliton dynamics for fractional Schrödinger equations
- (2013) Simone Secchi et al. APPLICABLE ANALYSIS
- Consistency problem of the solutions of the space fractional Schrödinger equation
- (2013) Selçuk Ş. Bayın JOURNAL OF MATHEMATICAL PHYSICS
- Ground state solutions for nonlinear fractional Schrödinger equations in RN
- (2013) Simone Secchi JOURNAL OF MATHEMATICAL PHYSICS
- Optimal Error Analysis of Galerkin FEMs for Nonlinear Joule Heating Equations
- (2013) Huadong Gao JOURNAL OF SCIENTIFIC COMPUTING
- The attractor of the dissipative coupled fractional Schrödinger equations
- (2013) Ming Cheng MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- (2013) Buyang Li et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system
- (2012) Leilei Wei et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equation
- (2012) Leilei Wei et al. FINITE ELEMENTS IN ANALYSIS AND DESIGN
- Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation
- (2012) Boling Guo et al. Fractional Calculus and Applied Analysis
- Fractional-time Schrödinger equation: Fractional dynamics on a comb
- (2011) Alexander Iomin CHAOS SOLITONS & FRACTALS
- Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
- (2011) Ya-nan Zhang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation
- (2010) Boling Guo et al. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
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