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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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 for multidimensional diffusion equations with mixed derivative terms

Applied Numerical Mathematics ◽

10.1016/j.apnum.2013.07.003 ◽

2013 ◽

Vol 74 ◽

pp. 83-94 ◽

Author(s):

K.J. in ʼt Hout ◽

C. Mishra

Keyword(s):

Diffusion Equations ◽

Mixed Derivative ◽

Adi Schemes ◽

Multidimensional 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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Multiple-relaxation-time lattice Boltzmann model-based four-level finite-difference scheme for one-dimensional diffusion equations

Physical Review E ◽

10.1103/physreve.104.015312 ◽

2021 ◽

Vol 104 (1) ◽

Author(s):

Yuxin Lin ◽

Ning Hong ◽

Baochang Shi ◽

Zhenhua Chai

Keyword(s):

Relaxation Time ◽

Finite Difference ◽

Difference Scheme ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Diffusion Equations ◽

One Dimensional ◽

Dimensional Diffusion ◽

Multiple Relaxation Time ◽

Boltzmann Model

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A second-order box solver for nonlinear delayed convection-diffusion equations with Neumann boundary conditions

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1542133 ◽

2018 ◽

Vol 96 (9) ◽

pp. 1879-1898 ◽

Author(s):

Dingwen Deng ◽

Jianqiang Xie ◽

Yaolin Jiang ◽

Dong Liang

Keyword(s):

Boundary Conditions ◽

Neumann Boundary ◽

Second Order ◽

Neumann Boundary Conditions ◽

Diffusion Equations ◽

Convection Diffusion

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A note on second-order finite-difference schemes on uniform meshes for advection--diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199909)15:5<581::aid-num5>3.0.co;2-m ◽

1999 ◽

Vol 15 (5) ◽

pp. 581-588 ◽

Author(s):

Daniele Funaro

Keyword(s):

Finite Difference ◽

Second Order ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

Advection Diffusion

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SOLUTION OF THREE DIMENSIONAL DIFFUSION EQUATIONS BY STANDARD ELECTRODE RESPONSE TO SINGLE-SHOT TRANSIENT PERTURBATION

Acta Physico-Chimica Sinica ◽

10.3866/pku.whxb19880101 ◽

1988 ◽

Vol 4 (01) ◽

pp. 1-3

Author(s):

Liu Xiaoping ◽

◽

Cha Chuansin

Keyword(s):

Three Dimensional ◽

Diffusion Equations ◽

Single Shot ◽

Dimensional Diffusion ◽

Electrode Response

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Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation

Applicable Analysis ◽

10.1080/00036811.2019.1636968 ◽

2019 ◽

pp. 1-15 ◽

Author(s):

Limin He ◽

Weimin Han ◽

Fei Wang ◽

Wentao Cai

Keyword(s):

Wave Equation ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Unconditional Stability ◽

Second Order ◽

Optimal Error Estimates ◽

Galerkin Methods ◽

Optimal Error ◽

Second Order Wave Equation

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Efficient second-order semi-implicit finite element method for fourth-order nonlinear diffusion equations

Computer Physics Communications ◽

10.1016/j.cpc.2020.107588 ◽

2021 ◽

Vol 258 ◽

pp. 107588 ◽

Author(s):

Sana Keita ◽

Abdelaziz Beljadid ◽

Yves Bourgault

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Nonlinear Diffusion ◽

Second Order ◽

Diffusion Equations ◽

Nonlinear Diffusion Equations ◽

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A second-order efficientL-stable numerical method for space fractional reaction–diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1435865 ◽

2018 ◽

Vol 95 (6-7) ◽

pp. 1408-1422 ◽

Author(s):

M. Yousuf

Keyword(s):

Numerical Method ◽

Reaction Diffusion ◽

Second Order ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stable Numerical Method ◽

Fractional Reaction

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