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Second-order correct boundary conditions for the numerical solution of the mixed boundary problem for parabolic equations. (English) Zbl 0133.38601


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[1] Jim Douglas Jr., On the numerical integration of quasilinear parabolic differential equations, Pacific J. Math. 6 (1956), 35 – 42. · Zbl 0074.11002
[2] Jim Douglas Jr., A survey of numerical methods for parabolic differential equations, Advances in Computers, Vol. 2, Academic Press, New York, 1961, pp. 1 – 54. · Zbl 0133.38503
[3] J. Douglas, Jr., Unpublished Notes.
[4] Eugene Isaacson, Error estimates for parabolic equations, Comm. Pure Appl. Math. 14 (1961), 381 – 389. · Zbl 0156.16505 · doi:10.1002/cpa.3160140315
[5] Mark Lotkin, The numerical integration of heat conduction equations, J. Math. and Phys. 37 (1958), 178 – 187. · Zbl 0082.12205 · doi:10.1002/sapm1958371178
[6] Milton E. Rose, On the integration of non-linear parabolic equations by implicit difference methods, Quart. Appl. Math. 14 (1956), 237 – 248. · Zbl 0072.14702
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