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Zbl 0697.65091
de Goede, E.D.; ten Thije Boonkkamp, J.H.M.
Vectorization of the odd-even hopscotch scheme and the alternating direction implicit scheme for the two-dimensional Burgers equations. (English)
[J] SIAM J. Sci. Stat. Comput. 11, No.2, 354-367 (1990). ISSN 0196-5204

The authors consider the two-dimensional Burgers equation and develop odd-even hopscotch and alternating direction implicit schemes for the numerical solution of finite difference approximations. They discuss the stability of the methods and indicate implementation schemes. Numerical results are given for some particular cases.
[Ll.G.Chambers]

MSC 2000:: *65Z05 Applications to physics
65M12 Stability and convergence of numerical methods (IVP of PDE)
65Y05 Parallel computation (numerical methods)
35Q99 PDE of mathematical physics and other areas

Keywords: vectorization; Hopscotch scheme; Burgers equation; alternating direction implicit schemes; finite difference approximations; stability; Numerical results

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