The Relationship between the Transilient Matrix and the Green’s Function for the Advection-Diffusion Equation

Journal of the Atmospheric Sciences ◽

10.1175/1520-0469(1999)056<2447:trbttm>2.0.co;2 ◽

1999 ◽

Vol 56 (14) ◽

pp. 2447-2453 ◽

Author(s):

Vincent E. Larson

Keyword(s):

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

The Relationship

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A Fast Direct Solver for the Advection-Diffusion Equation Using Low-Rank Approximation of the Green’s Function

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 ◽

10.1007/978-3-319-65870-4_30 ◽

2017 ◽

pp. 423-435

Author(s):

Jonathan R. Bull

Keyword(s):

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Low Rank ◽

Low Rank Approximation ◽

Direct Solver ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Fast Direct Solver ◽

Rank Approximation

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Analytical solution of advection–diffusion equation in heterogeneous infinite medium using Green’s function method

Journal of Earth System Science ◽

10.1007/s12040-016-0756-0 ◽

2016 ◽

Vol 125 (8) ◽

pp. 1713-1723 ◽

Author(s):

ABHISHEK SANSKRITYAYN ◽

NAVEEN KUMAR

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Function Method ◽

Infinite Medium ◽

Green’S Function Method ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Analytical Solution for the Transient Two-Dimensional Advection-Diffusion Equation Considering Nonlocal Closure of the Turbulent Diffusion

Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer ◽

10.1615/ichmt.2006.turbulheatmasstransf.1530 ◽

2006 ◽

Author(s):

Davidson M. Moreira ◽

Marco Tulio de Vilhena ◽

D. Buske ◽

Tiziano Tirabassi

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Turbulent Diffusion ◽

Two Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Global Green's function estimates for the convection–diffusion equation

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2020.1857368 ◽

2020 ◽

pp. 1-30

Author(s):

Yurij Alkhutov ◽

Mikhail Surnachev

Keyword(s):

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Convection Diffusion ◽

Convection Diffusion Equation

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Quantum algorithm for the advection–diffusion equation simulated with the lattice Boltzmann method

Quantum Information Processing ◽

10.1007/s11128-021-02996-3 ◽

2021 ◽

Vol 20 (2) ◽

Author(s):

Ljubomir Budinski

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Quantum Algorithm ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Boltzmann Method

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A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.03.003 ◽

2021 ◽

Vol 127 ◽

pp. 8-17

Author(s):

M. Hosseininia ◽

M.H. Heydari ◽

F.M. Maalek Ghaini ◽

Z. Avazzadeh

Keyword(s):

Diffusion Equation ◽

Least Squares ◽

Moving Least Squares ◽

Shape Functions ◽

Advection Diffusion Equation ◽

Advection Diffusion

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A novel finite volume method for the Riesz space distributed-order advection–diffusion equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.01.065 ◽

2017 ◽

Vol 46 ◽

pp. 536-553 ◽

Author(s):

J. Li ◽

F. Liu ◽

L. Feng ◽

I. Turner

Keyword(s):

Diffusion Equation ◽

Finite Volume Method ◽

Finite Volume ◽

Riesz Space ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Volume Method ◽

Distributed Order

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Numerical Solutions of Advection-Diffusion Equation under Local Ill-Posed Conditions.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.60.2397 ◽

1994 ◽

Vol 60 (575) ◽

pp. 2397-2403

Author(s):

Yukihisa Yabushita ◽

Ryoichi Takahashi

Keyword(s):

Diffusion Equation ◽

Numerical Solutions ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

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Single collocation point methods for the advection–diffusion equation

Advances in Water Resources ◽

10.1016/j.advwatres.2004.02.003 ◽

2004 ◽

Vol 27 (4) ◽

pp. 311-322 ◽

Author(s):

I. Herrera ◽

M. Dı́az-Viera ◽

R. Yates

Keyword(s):

Diffusion Equation ◽

Collocation Point ◽

Advection Diffusion Equation ◽

Advection Diffusion

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A Petrov–Galerkin finite element method for the fractional advection–diffusion equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.06.013 ◽

2016 ◽

Vol 309 ◽

pp. 388-410 ◽

Author(s):

Yanping Lian ◽

Yuping Ying ◽

Shaoqiang Tang ◽

Stephen Lin ◽

Gregory J. Wagner ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

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