Third-Order Energy Stable WENO Scheme

14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference) ◽

10.2514/6.2008-2876 ◽

2008 ◽

Cited By ~ 2

Author(s):

Nail Yamaleev ◽

Mark Carpenter

Keyword(s):

Weno Scheme ◽

Third Order ◽

Order Energy ◽

Energy Stable

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Third-order Energy Stable WENO scheme

Journal of Computational Physics ◽

10.1016/j.jcp.2009.01.011 ◽

2009 ◽

Vol 228 (8) ◽

pp. 3025-3047 ◽

Cited By ~ 67

Author(s):

Nail K. Yamaleev ◽

Mark H. Carpenter

Keyword(s):

Weno Scheme ◽

Third Order ◽

Order Energy ◽

Energy Stable

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The second- and third-order energy corrections in the partitioned perturbation series for the hydrogen atom in a magnetic field

Journal of Physics B Atomic Molecular and Optical Physics ◽

10.1088/0953-4075/26/10/002 ◽

1993 ◽

Vol 26 (10) ◽

pp. 1599-1604 ◽

Cited By ~ 4

Author(s):

M R M Witwit ◽

J P Killingbeck

Keyword(s):

Magnetic Field ◽

Hydrogen Atom ◽

Perturbation Series ◽

Third Order ◽

Order Energy

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A New Class of High-Order Energy Stable Flux Reconstruction Schemes

Journal of Scientific Computing ◽

10.1007/s10915-010-9420-z ◽

2010 ◽

Vol 47 (1) ◽

pp. 50-72 ◽

Cited By ~ 195

Author(s):

P. E. Vincent ◽

P. Castonguay ◽

A. Jameson

Keyword(s):

High Order ◽

Flux Reconstruction ◽

New Class ◽

Order Energy ◽

Energy Stable

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Boundary Closures for Sixth-Order Energy-Stable Weighted Essentially Non-Oscillatory Finite-Difference Schemes

Advances in Applied Mathematics, Modeling, and Computational Science - Fields Institute Communications ◽

10.1007/978-1-4614-5389-5_6 ◽

2013 ◽

pp. 117-160 ◽

Cited By ~ 2

Author(s):

Mark H. Carpenter ◽

Travis C. Fisher ◽

Nail K. Yamaleev

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Sixth Order ◽

Finite Difference Schemes ◽

Order Energy ◽

Energy Stable

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Linear second order energy stable schemes for phase field crystal growth models with nonlocal constraints

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.07.030 ◽

2020 ◽

Vol 79 (3) ◽

pp. 764-788 ◽

Cited By ~ 2

Author(s):

Xiaobo Jing ◽

Qi Wang

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Growth Models ◽

Second Order ◽

Order Energy ◽

Energy Stable Schemes ◽

Energy Stable ◽

Nonlocal Constraints ◽

Phase Field Crystal

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Long-time simulation of the phase-field crystal equation using high-order energy-stable CSRK methods

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.112981 ◽

2020 ◽

Vol 364 ◽

pp. 112981 ◽

Cited By ~ 1

Author(s):

Jaemin Shin ◽

Hyun Geun Lee ◽

June-Yub Lee

Keyword(s):

Phase Field ◽

High Order ◽

Order Energy ◽

Time Simulation ◽

Long Time ◽

Energy Stable ◽

Phase Field Crystal

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Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2020.105366 ◽

2020 ◽

Vol 90 ◽

pp. 105366 ◽

Cited By ~ 3

Author(s):

Bingquan Ji ◽

Hong-lin Liao ◽

Yuezheng Gong ◽

Luming Zhang

Keyword(s):

Second Order ◽

Volume Constraint ◽

Cahn Equation ◽

Order Energy ◽

Energy Stable Schemes ◽

Energy Stable

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A third order, implicit, finite volume, adaptive Runge–Kutta WENO scheme for advection–diffusion equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113155 ◽

2020 ◽

Vol 368 ◽

pp. 113155

Author(s):

Todd Arbogast ◽

Chieh-Sen Huang ◽

Xikai Zhao ◽

Danielle N. King

Keyword(s):

Finite Volume ◽

Weno Scheme ◽

Diffusion Equations ◽

Third Order ◽

Advection Diffusion ◽

Runge Kutta

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A systematic methodology for constructing high-order energy stable WENO schemes

Journal of Computational Physics ◽

10.1016/j.jcp.2009.03.002 ◽

2009 ◽

Vol 228 (11) ◽

pp. 4248-4272 ◽

Cited By ~ 80

Author(s):

Nail K. Yamaleev ◽

Mark H. Carpenter

Keyword(s):

High Order ◽

Weno Schemes ◽

Order Energy ◽

Systematic Methodology ◽

Energy Stable

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A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22271 ◽

2018 ◽

Vol 34 (6) ◽

pp. 1975-2007 ◽

Cited By ~ 15

Author(s):

Wenqiang Feng ◽

Cheng Wang ◽

Steven M. Wise ◽

Zhengru Zhang

Keyword(s):

Thin Film ◽

Second Order ◽

Epitaxial Thin Film ◽

Differentiation Formula ◽

Backward Differentiation Formula ◽

Order Energy ◽

Slope Selection ◽

Thin Film Equation ◽

Energy Stable ◽

Formula Method

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