High-Order ADI Schemes for Convection-Diffusion Equations with Mixed Derivative Terms

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 ◽

10.1007/978-3-319-01601-6_17 ◽

2013 ◽

pp. 217-226 ◽

Author(s):

B. Düring ◽

M. Fournié ◽

A. Rigal

Keyword(s):

Diffusion Equations ◽

Mixed Derivative ◽

Convection Diffusion ◽

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Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms

Applied Numerical Mathematics ◽

10.1016/j.apnum.2005.11.011 ◽

2007 ◽

Vol 57 (1) ◽

pp. 19-35 ◽

Author(s):

K.J. in 't Hout ◽

B.D. Welfert

Keyword(s):

Diffusion Equations ◽

Mixed Derivative ◽

Convection Diffusion ◽

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A positivity-preserving high order discontinuous Galerkin scheme for convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2018.04.002 ◽

2018 ◽

Vol 366 ◽

pp. 120-143 ◽

Author(s):

Sashank Srinivasan ◽

Jonathan Poggie ◽

Xiangxiong Zhang

Keyword(s):

Discontinuous Galerkin ◽

Diffusion Equations ◽

Positivity Preserving ◽

Galerkin Scheme ◽

Convection Diffusion ◽

Discontinuous Galerkin Scheme

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A high-order finite difference discretization strategy based on extrapolation for convection diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10075 ◽

2003 ◽

Vol 20 (1) ◽

pp. 18-32 ◽

Author(s):

Haiwei Sun ◽

Jun Zhang

Keyword(s):

Finite Difference ◽

Diffusion Equations ◽

Convection Diffusion ◽

Finite Difference Discretization ◽

High Order Finite Difference ◽

Difference Discretization

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High Order Maximum-Principle-Preserving Discontinuous Galerkin Method for Convection-Diffusion Equations

SIAM Journal on Scientific Computing ◽

10.1137/140965326 ◽

2015 ◽

Vol 37 (2) ◽

pp. A583-A608 ◽

Author(s):

Tao Xiong ◽

Jing-Mei Qiu ◽

Zhengfu Xu

Keyword(s):

Maximum Principle ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Convection Diffusion

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Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.03.016 ◽

2009 ◽

Vol 59 (3-4) ◽

pp. 677-692 ◽

Author(s):

K.J. in 't Hout ◽

B.D. Welfert

Keyword(s):

Unconditional Stability ◽

Second Order ◽

Diffusion Equations ◽

Mixed Derivative ◽

Dimensional Diffusion ◽

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A rational high-order compact ADI method for unsteady convection–diffusion equations

Computer Physics Communications ◽

10.1016/j.cpc.2010.11.013 ◽

2011 ◽

Vol 182 (3) ◽

pp. 649-662 ◽

Author(s):

Zhen F. Tian

Keyword(s):

Diffusion Equations ◽

Convection Diffusion ◽

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A high-order finite volume scheme for unsteady convection-dominated convection–diffusion equations

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2019.1665421 ◽

2019 ◽

Vol 76 (5) ◽

pp. 253-272 ◽

Author(s):

Mingtian Xu

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Convection Diffusion ◽

Volume Scheme ◽

Convection Dominated

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A high order conservative flux optimization finite element method for steady convection-diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109895 ◽

2021 ◽

Vol 425 ◽

pp. 109895

Author(s):

Yujie Liu ◽

Yue Feng ◽

Ran Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Convection Diffusion ◽

Steady Convection ◽

Conservative Flux ◽

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Distributed Solution of High-Order Compact Difference Schemes for Multidimensional Convection-Diffusion Equations

Computational Science and Its Applications — ICCSA 2003 - Lecture Notes in Computer Science ◽

10.1007/3-540-44842-x_24 ◽

2003 ◽

pp. 226-235

Author(s):

Matthew F. Dixon ◽

Kenneth Tan

Keyword(s):

Difference Schemes ◽

Diffusion Equations ◽

Convection Diffusion ◽

Compact Difference Schemes ◽

Compact Difference

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High–Order Asymptotic–Preserving Methods for Nonlinear Relaxation from Hyperbolic Systems to Convection–Diffusion Equations

Lecture Notes in Computational Science and Engineering - High Order Nonlinear Numerical Schemes for Evolutionary PDEs ◽

10.1007/978-3-319-05455-1_1 ◽

2014 ◽

pp. 1-13 ◽

Author(s):

Sebastiano Boscarino ◽

Giovanni Russo

Keyword(s):

Hyperbolic Systems ◽

Diffusion Equations ◽

Asymptotic Preserving ◽

Nonlinear Relaxation ◽

Convection Diffusion

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