IMPROVED ACCURACY FOR LOCALLY ONE-DIMENSIONAL METHODS FOR PARABOLIC EQUATIONS

By J. Douglas, Seongjai Kim. 2001

126 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/77ef510adef6f51594c7aa60b15278c9bf8b0017

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Charles Tadjeran
2. Hans-Peter Scheffler
3. Mark M. Meerschaert
4. Boris Baeumer
5. Fawang Liu
6. Ian L Turner

In Numerical Analysis

1. Mark M. Meerschaert
2. Charles Tadjeran
3. Hans-Peter Scheffler
4. Fawang Liu
5. Ian L Turner
6. Vo Anh
7. Mohamed M. Khader
8. John Paul Roop

Citations in the corpus

• A second-order accurate numerical method for the two-dimensional fractional diffusion equation (2007, background): “, a = b = 2) for the diffusion equation (see for example [8]).”
• Finite difference methods for two-dimensional fractional dispersion equation (2006, background): “The requirement for the commutativity of these two operators is also a common assumption in establishing stability/convergence of the ADI methods in the classical (i.e., a = b = 2) twodimensional diffusion equation (see for example [ 12 ]).”