Geodesic
Spline collocation method for linear singular hyperbolic systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 7, pp. 1230-1249

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Some classes of singular systems of partial differential equations with variable matrix coefficients and internal hyperbolic structure are considered. The spline collocation method is used to numerically solve such systems. Sufficient conditions for the convergence of the numerical procedure are obtained. Numerical results are presented. 
@article{ZVMMF_2008_48_7_a8,
     author = {S. V. Gaidomak},
     title = {Spline collocation method for linear singular hyperbolic systems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1230--1249},
     publisher = {mathdoc},
     volume = {48},
     number = {7},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a8/}
}
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S. V. Gaidomak. Spline collocation method for linear singular hyperbolic systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 7, pp. 1230-1249. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a8/