Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points

Author:

Stynes Martin,O'Riordan Eugene

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference30 articles.

1. Allen, D.N. De G., Southwell, R.: Relaxation methodsapplied to determine the motion, in two dimensions, of a viscous fluid past a fixed cylinder. Q. J. Mech. Appl. Math.8, 129?145 (1955)

2. Bobisud, L.: Second-order linear parabolic equations with a small parameter. Arch. Rational Mech. Anal.27, 385?397 (1967)

3. Courant, R., Hilbert, D.: Methods of mathematical physics, vol. II. New York: Wiley 1962

4. Doolan, E.P., Miller, J.J.H., Schilders, W.H.A.: Uniform numerical methods for problems with initial and boundary layers. Dublin: Boole Press 1980

5. Duffy, D.: Uniformly convergent difference schemes for problems with a small parameter in the leading derivative, Ph.D. thesis, School of Mathematics, Trinity College, Dublin 1980

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