Efficient implementation of high order methods for the advection–diffusion equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00307-2 ◽

2000 ◽

Vol 189 (2) ◽

pp. 701-722 ◽

Author(s):

A. Kolesnikov ◽

A.J. Baker

Keyword(s):

Diffusion Equation ◽

Efficient Implementation ◽

High Order Methods ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Erratum To: "High-Order Finite Difference Schemes for Solving the Advection-Diffusion Equation, Mathematical and Computational Applications, Vol. 15, No. 3, 449-460, 2010."

Mathematical and Computational Applications ◽

10.3390/mca16040979 ◽

2011 ◽

Vol 16 (4) ◽

pp. 979-979

Author(s):

Murat Sari ◽

Gürhan Gürarslan ◽

Asuman Zeytinoğlu

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

High Order Finite Difference

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A High-Order-Accurate Unstructured Mesh Finite-Volume Scheme for the Advection–Diffusion Equation

Journal of Computational Physics ◽

10.1006/jcph.2002.7159 ◽

2002 ◽

Vol 181 (2) ◽

pp. 729-752 ◽

Author(s):

Carl Ollivier-Gooch ◽

Michael Van Altena

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Unstructured Mesh ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Variational multiscale stabilization of high-order spectral elements for the advection–diffusion equation

Journal of Computational Physics ◽

10.1016/j.jcp.2012.06.028 ◽

2012 ◽

Vol 231 (21) ◽

pp. 7187-7213 ◽

Author(s):

S. Marras ◽

J.F. Kelly ◽

F.X. Giraldo ◽

M. Vázquez

Keyword(s):

Diffusion Equation ◽

Spectral Elements ◽

Variational Multiscale ◽

Advection Diffusion Equation ◽

Advection Diffusion

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High-order finite-volume solutions of the steady-state advection–diffusion equation with nonlinear Robin boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2017.05.023 ◽

2017 ◽

Vol 345 ◽

pp. 358-372 ◽

Author(s):

Zhi Lin ◽

Qinghai Zhang

Keyword(s):

Steady State ◽

Diffusion Equation ◽

Boundary Conditions ◽

Finite Volume ◽

Robin Boundary Conditions ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

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High-order finite volume schemes for the advection-diffusion equation

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.335 ◽

2001 ◽

Vol 53 (5) ◽

pp. 1211-1234 ◽

Author(s):

J. A. Hernández

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Finite Volume Schemes ◽

Advection Diffusion Equation ◽

Advection Diffusion

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High-Order Perturbation Approach for Wave Transformation by Applying Advection-Diffusion Equation via Karhunen–Loeve Expansion

ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems Part A Civil Engineering ◽

10.1061/ajrua6.0000891 ◽

2017 ◽

Vol 3 (1) ◽

pp. 04016011

Author(s):

Hossein Khorshidi ◽

Nasser Talebbeydokhti ◽

Gholamreza Rakhshandehroo

Keyword(s):

Diffusion Equation ◽

Order Perturbation ◽

Wave Transformation ◽

Perturbation Approach ◽

Advection Diffusion Equation ◽

Advection Diffusion

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201 On Assessment of Numerical Scheme Using High-order Basis Function for Advection-Diffusion Equation

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2009.22.661 ◽

2009 ◽

Vol 2009.22 (0) ◽

pp. 661-662

Author(s):

Takahiro YAMADA

Keyword(s):

Diffusion Equation ◽

Basis Function ◽

Numerical Scheme ◽

Advection Diffusion Equation ◽

Advection Diffusion

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High‐order characteristic‐tracking strategy for simulation of a nonlinear advection–diffusion equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22374 ◽

2019 ◽

Vol 35 (5) ◽

pp. 1756-1776 ◽

Author(s):

Soyoon Bak

Keyword(s):

Diffusion Equation ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Nonlinear Advection ◽

Tracking Strategy

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BUBBLE STABILIZATION OF CHEBYSHEV-LEGENDRE HIGH-ORDER ELEMENT METHODS FOR THE ADVECTION-DIFFUSION EQUATION

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2016.53.2.423 ◽

2016 ◽

Vol 53 (2) ◽

pp. 423-440

Author(s):

Philsu Kim ◽

Sang Dong Kim ◽

Yong Hun Lee

Keyword(s):

Diffusion Equation ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

High Order Element ◽

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High-Order Central ENO Finite-Volume Scheme with Adaptive Mesh Refinement for the Advection-Diffusion Equation

Computational Fluid Dynamics 2008 ◽

10.1007/978-3-642-01273-0_57 ◽

2009 ◽

pp. 443-449 ◽

Author(s):

Lucian Ivan ◽

Clinton P. T. Groth

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Advection Diffusion Equation ◽

Advection Diffusion

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