Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy

Research in the Mathematical Sciences ◽

10.1007/s40687-020-00212-9 ◽

2020 ◽

Vol 7 (3) ◽

Author(s):

Wenbin Chen ◽

Weijia Li ◽

Cheng Wang ◽

Shufen Wang ◽

Xiaoming Wang

Keyword(s):

Thin Film ◽

Higher Order ◽

Gradient Flows ◽

Order Linear ◽

Energy Stable ◽

Thin Film Epitaxy ◽

Multi Step Methods

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Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

SIAM Journal on Numerical Analysis ◽

10.1137/110822839 ◽

2012 ◽

Vol 50 (1) ◽

pp. 105-125 ◽

Author(s):

Jie Shen ◽

Cheng Wang ◽

Xiaoming Wang ◽

Steven M. Wise

Keyword(s):

Thin Film ◽

Second Order ◽

Gradient Flows ◽

Splitting Schemes ◽

Convex Splitting ◽

Energy Application ◽

Thin Film Epitaxy

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HIGHER-ORDER EFFECTIVE MODEL DESCRIBING A NON-ISOTHERMAL THIN-FILM FLOW

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2018024611 ◽

2018 ◽

Vol 16 (2) ◽

pp. 121-130 ◽

Author(s):

Eduard Marušic-Paloka ◽

Igor Pažanin

Keyword(s):

Thin Film ◽

Film Flow ◽

Higher Order ◽

Effective Model ◽

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Distributed optimal control law design for a class of higher order linear multi-agent systems and its application to Euler-Lagrangian systems

2020 39th Chinese Control Conference (CCC) ◽

10.23919/ccc50068.2020.9188585 ◽

2020 ◽

Author(s):

Ranran Li

Keyword(s):

Optimal Control ◽

Higher Order ◽

Control Law ◽

Lagrangian Systems ◽

Multi Agent Systems ◽

Distributed Optimal Control ◽

Order Linear ◽

Agent Systems ◽

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Variable Order Linear Multi-Step Methods for Solving Stochastic Ordinary Differential Equations

Journal of Al-Nahrain University-Science ◽

10.22401/jnus.16.4.25 ◽

2013 ◽

Vol 16 (4) ◽

pp. 205-212

Author(s):

Fadhel S. Fadhel ◽

◽

Nabaa R. Kareem ◽

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Variable Order ◽

Order Linear ◽

Stochastic Ordinary Differential Equations ◽

Multi Step Methods

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On a problem in complex oscillation theory of periodic higher order linear differential equations

Acta Mathematica Scientia ◽

10.1016/s0252-9602(10)60125-7 ◽

2010 ◽

Vol 30 (4) ◽

pp. 1291-1300 ◽

Author(s):

Xiao Lipeng ◽

Chen Zongxuan

Keyword(s):

Differential Equations ◽

Oscillation Theory ◽

Higher Order ◽

Linear Differential Equations ◽

Order Linear ◽

Complex Oscillation ◽

Linear Differential

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Stokes geometry of higher order linear ordinary differential equations and middle convolution

Advances in Mathematics ◽

10.1016/j.aim.2017.02.006 ◽

2017 ◽

Vol 310 ◽

pp. 327-376

Author(s):

Takahiro Moteki ◽

Yoshitsugu Takei

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Higher Order ◽

Order Linear ◽

Linear Ordinary Differential Equations ◽

Middle Convolution

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Asymptotic decomposition of systems of higher-order linear differential equations with small parameter for the derivative

Ukrainian Mathematical Journal ◽

10.1007/bf01059718 ◽

1985 ◽

Vol 37 (2) ◽

pp. 193-197 ◽

Author(s):

N. I. Shkil' ◽

V. A. Kushnir

Keyword(s):

Differential Equations ◽

Small Parameter ◽

Higher Order ◽

Linear Differential Equations ◽

Asymptotic Decomposition ◽

Order Linear ◽

Linear Differential

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Higher-Order Linear Differential Equations

Differential Equations - Undergraduate Texts in Mathematics ◽

10.1007/978-1-4757-3949-7_5 ◽

2004 ◽

pp. 129-178

Author(s):

Clay C. Ross

Keyword(s):

Differential Equations ◽

Higher Order ◽

Linear Differential Equations ◽

Order Linear ◽

Linear Differential

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A collocation method to solve higher order linear complex differential equations in rectangular domains

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20448 ◽

2009 ◽

pp. NA-NA ◽

Author(s):

Mehmet Sezer ◽

Salih Yalçinbaş

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Higher Order ◽

Linear Complex ◽

Order Linear ◽

Complex Differential Equations

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Asymptotic Behavior of a System of Higher Order Linear Recurrence Equations*

New Developments in Difference Equations and Applications ◽

10.1201/9780203745854-23 ◽

2017 ◽

pp. 323-334 ◽

Author(s):

MlhÁly Pituk

Keyword(s):

Asymptotic Behavior ◽

Higher Order ◽

Linear Recurrence ◽

Order Linear ◽

Recurrence Equations

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