Optimal and near-optimal advection-diffusion finite - Difference schemes. VI two-dimensional alternating directions

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 457, Issue 2014, 2001, Pages 2379-2396

  Smith, R ^a   Tang, Y ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Diffusion equation; Finite difference scheme; Numerical method

Indexed keywords

EID: 57249105099     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2001.0828     Document Type: Article

References (22)

1. An optimum implicit recurrence formula for the heat conduction equation
2. A practical method for numerical integration of solutions of partial differential equations of heat conduction type
3. The dispersion of marked fluid in turbulent shear flow
4. On the tensor form of the bulk dispersion coefficient in a bounded skewed shear flow
5. Wavenumber-extended high-order upwind-biased finite-difference schemes for convective scalar transport
6. Alternating direction methods for parabolic equations in two space dimensions with a mixed derivative
7. An alternating direction implicit scheme for parabolic equations with mixed derivative and convective terms
8. Improved forms of the alternating direction methods of Douglas, Peaceman and Rachford for solving parabolic and elliptic equations
9. Finite difference techniques for partial differential equations
10. Accurate finite difference methods for solving the advection-diffusion equation
11. Finite difference methods for solving the two-dimensional advection-diffusion equation
12. The numerical solution of parabolic and elliptic differential equations
13. Effluent discharge into tidal waters: Optimal or economic strategy
14. Modern conceptions of the mechanics of turbulence
15. Horizontal fractionation of rising and sinking particles in wind-affected currents
16. Optimal and near-optimal advection-diffusion finite-difference schemes. I. Constant coefficient in one dimension
17. Optimal and near-optimal advection-diffusion finite-difference schemes. II. Unsteadiness and non-uniform grid
18. Optimal and near-optimal advection-diffusion finite-difference schemes. V. Error propagation
19. Mean velocity and longitudinal dispersion of heavy particles in turbulent open-channel flow
20. The modified equation approach to the stability and accuracy analysis of finite-difference methods