Explicit high-order energy-preserving exponential time differencing method for nonlinear Hamiltonian PDEs

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126208 ◽

2021 ◽

Vol 404 ◽

pp. 126208

Author(s):

Zhuangzhi Xu ◽

Wenjun Cai ◽

Yongzhong Song ◽

Yushun Wang

Keyword(s):

Exponential Time ◽

Exponential Time Differencing ◽

Order Energy ◽

Hamiltonian Pdes ◽

Exponential Time Differencing Method

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Exponential time differencing method for modeling the dissipative rouge waves and breathers in a collisional plasma

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-02087-3 ◽

2021 ◽

Vol 136 (10) ◽

Author(s):

Noufe H. Aljahdaly ◽

S. A. El-Tantawy ◽

H. A. Ashi ◽

Abdul-Majid Wazwaz

Keyword(s):

Collisional Plasma ◽

Exponential Time ◽

Exponential Time Differencing ◽

Exponential Time Differencing Method

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HIGH-ORDER FDTD WITH EXPONENTIAL TIME DIFFERENCING ALGORITHM FOR MODELING WAVE PROPAGATION IN DEBYE DISPERSIVE MATERIALS

Progress In Electromagnetics Research Letters ◽

10.2528/pierl18060404 ◽

2018 ◽

Vol 77 ◽

pp. 103-107

Author(s):

Wei-Jun Chen ◽

Jun Tang

Keyword(s):

Wave Propagation ◽

Exponential Time ◽

Exponential Time Differencing

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Modeling High Dielectric Material in the High-Order FDTD Using Exponential Time Differencing Algorithm

2018 International Conference on Microwave and Millimeter Wave Technology (ICMMT) ◽

10.1109/icmmt.2018.8563933 ◽

2018 ◽

Author(s):

Jun Tang ◽

Wei-Jun Chen ◽

Jun-Jie Yang ◽

Qi-Yuan Zhu ◽

Wei Shao

Keyword(s):

Dielectric Material ◽

Exponential Time ◽

Exponential Time Differencing ◽

High Dielectric

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A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions

Applied Mathematics Letters ◽

10.1016/j.aml.2019.03.012 ◽

2019 ◽

Vol 94 ◽

pp. 257-265 ◽

Author(s):

Jianguo Huang ◽

Lili Ju ◽

Bo Wu

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Semilinear Parabolic Equations ◽

Exponential Time ◽

Exponential Time Differencing ◽

Exponential Time Differencing Method ◽

Semilinear Parabolic

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Fast High-Order Compact Exponential Time Differencing Runge–Kutta Methods for Second-Order Semilinear Parabolic Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0117-1 ◽

2015 ◽

Vol 67 (3) ◽

pp. 1043-1065 ◽

Author(s):

Liyong Zhu ◽

Lili Ju ◽

Weidong Zhao

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Semilinear Parabolic Equations ◽

Exponential Time ◽

Exponential Time Differencing ◽

Runge Kutta ◽

Semilinear Parabolic

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Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions

Numerical Algorithms ◽

10.1007/s11075-019-00729-3 ◽

2019 ◽

Vol 83 (4) ◽

pp. 1373-1397 ◽

Author(s):

H. P. Bhatt ◽

A. Q. M. Khaliq ◽

K. M. Furati

Keyword(s):

Boundary Conditions ◽

Reaction Diffusion ◽

Exponential Time ◽

Reaction Diffusion Systems ◽

Exponential Time Differencing ◽

Nonhomogeneous Boundary ◽

Diffusion Systems ◽

Nonhomogeneous Boundary Conditions ◽

Exponential Time Differencing Method ◽

Fractional Reaction

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A conservative exponential time differencing method for the nonlinear cubic Schrödinger equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1101458 ◽

2015 ◽

Vol 94 (2) ◽

pp. 230-251 ◽

Author(s):

A. G. Bratsos ◽

A. Q. M. Khaliq

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Exponential Time ◽

Exponential Time Differencing ◽

Cubic Schrödinger Equation ◽

Exponential Time Differencing Method

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An exponential time differencing method of lines for Burgers–Fisher and coupled Burgers equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.028 ◽

2019 ◽

Vol 356 ◽

pp. 182-197 ◽

Author(s):

A.G. Bratsos ◽

A.Q.M. Khaliq

Keyword(s):

Method Of Lines ◽

Exponential Time ◽

Exponential Time Differencing ◽

Burgers Equations ◽

Exponential Time Differencing Method

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Modeling Lorentz dispersive media in FDTD using the exponential time differencing method

2008 Asia-Pacific Microwave Conference ◽

10.1109/apmc.2008.4958061 ◽

2008 ◽

Author(s):

Ding Yu Heh ◽

E.L. Tan

Keyword(s):

Dispersive Media ◽

Exponential Time ◽

Exponential Time Differencing ◽

Exponential Time Differencing Method

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Shift operator method and Runge-Kutta exponential time differencing method for plasma

Optik ◽

10.1016/j.ijleo.2011.01.001 ◽

2011 ◽

Vol 122 (23) ◽

pp. 2086-2089 ◽

Author(s):

Yan Liu ◽

Hong Wei Yang

Keyword(s):

Shift Operator ◽

Operator Method ◽

Exponential Time ◽

Exponential Time Differencing ◽

Runge Kutta ◽

Exponential Time Differencing Method

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