Geodesic
Boundary value problem for a first-order linear parabolic system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 4, pp. 608-618
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A boundary value problem for a linear parabolic system is considered. Sufficient conditions for the well-posedness of the problem are found. The spline collocation method on a uniform grid is used to construct a high-order accurate implicit difference scheme, and its absolute stability is proved. 
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S. V. Gaidomak. Boundary value problem for a first-order linear parabolic system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 4, pp. 608-618. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_4_a5/

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