A fractional step ELLAM approach to high-dimensional convection–diffusion problems with forward particle tracking

Journal of Computational Physics ◽

10.1016/j.jcp.2006.06.022 ◽

2007 ◽

Vol 221 (1) ◽

pp. 198-225 ◽

Author(s):

Dong Liang ◽

Chuanbin Du ◽

Hong Wang

Keyword(s):

Particle Tracking ◽

High Dimensional ◽

Fractional Step ◽

Convection Diffusion ◽

Diffusion Problems

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Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/3-540-45262-1_17 ◽

2001 ◽

pp. 133-143

Author(s):

B. Bujanda ◽

J. C. Jorge

Keyword(s):

Time Dependent ◽

Fractional Step ◽

Two Dimensional ◽

Convection Diffusion ◽

Runge Kutta ◽

Diffusion Problems

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A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(98)00014-2 ◽

1998 ◽

Vol 27 (3) ◽

pp. 211-231 ◽

Author(s):

C. Clavero ◽

J.C. Jorge ◽

F. Lisbona ◽

G.I. Shishkin

Keyword(s):

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Convection Diffusion ◽

Diffusion Problems

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Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection–diffusion problems on Shishkin mesh

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.12.013 ◽

2018 ◽

Vol 75 (7) ◽

pp. 2387-2403 ◽

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Higher Order ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Fractional Step ◽

Order Convergence ◽

Step Method ◽

Fractional Step Method ◽

Convection Diffusion ◽

Higher Order Convergence ◽

Diffusion Problems

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High Order Uniformly Convergent Fractional Step RK Methods and HODIE Finite Difference Schemes for 2D Evolutionary Convection-Diffusion Problems

Journal of Computational Methods in Sciences and Engineering ◽

10.3233/jcm-2003-3304 ◽

2003 ◽

Vol 3 (3) ◽

pp. 403-413

Author(s):

J.L. Gracia ◽

J.C. Jorge ◽

B. Bujanda ◽

C. Clavero

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Fractional Step ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Diffusion Problems

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Fractional Step Method for Singularly Perturbed 2D Delay Parabolic Convection Diffusion Problems on Shishkin Mesh

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-018-0499-5 ◽

2018 ◽

Vol 4 (2) ◽

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Shishkin Mesh ◽

Singularly Perturbed ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Convection Diffusion ◽

Diffusion Problems

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Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection–diffusion problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-1203-y ◽

2018 ◽

Vol 60 (1-2) ◽

pp. 51-86

Author(s):

Kaushik Mukherjee ◽

Srinivasan Natesan

Keyword(s):

Numerical Scheme ◽

Singularly Perturbed ◽

Fractional Step ◽

Convection Diffusion ◽

Diffusion Problems

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A fractional step θ-method for convection–diffusion problems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.11.059 ◽

2007 ◽

Vol 333 (1) ◽

pp. 204-218 ◽

Author(s):

J.C. Chrispell ◽

V.J. Ervin ◽

E.W. Jenkins

Keyword(s):

Fractional Step ◽

Convection Diffusion ◽

Diffusion Problems

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AN EFFICIENT NUMERICAL INTEGRATION ALGORITHM FOR INTEGRAL TRANSFORM SOLUTION OF NONLINEAR CONVECTION-DIFFUSION PROBLEMS

Hybrid Methods in Engineering ◽

10.1615/hybmetheng.v2.i4.60 ◽

2000 ◽

Vol 2 (4) ◽

pp. 12

Author(s):

Humberto Araujo Machado

Keyword(s):

Numerical Integration ◽

Integral Transform ◽

Integration Algorithm ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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A high order robust numerical scheme for singularly perturbed delay parabolic convection diffusion problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01512-1 ◽

2021 ◽

Author(s):

Gajendra Babu ◽

Komal Bansal

Keyword(s):

Numerical Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Diffusion Problems

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New finite volume element methods in the ALE framework for time-dependent convection–diffusion problems in moving domains

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113537 ◽

2021 ◽

pp. 113537

Author(s):

Yulong Gao ◽

Yonghai Li ◽

Guangwei Yuan ◽

Zhiqiang Sheng

Keyword(s):

Finite Volume ◽

Volume Element ◽

Time Dependent ◽

Convection Diffusion ◽

Moving Domains ◽

Finite Volume Element ◽

Diffusion Problems

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