ON THE RELATION BETWEEN STABILITY AND CONVERGENCE IN THE NUMERICAL SOLUTION OF LINEAR PARABOLIC AND HYPERBOLIC DIFFERENTIAL EQUATIONS

被引:18
作者
DOUGLAS, J
机构
来源
JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS | 1956年 / 4卷 / 01期
关键词
D O I
10.1137/0104002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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页码:20 / 37
页数:18
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共 14 条
[1]   Partial differential equations of mathematical physics [J].
Courant, R ;
Friedrichs, K ;
Lewy, H .
MATHEMATISCHE ANNALEN, 1928, 100 :32-74
[2]  
Crandall S.H., 1953, J ACM, V1, P111, DOI [10.1145/320776.320779, DOI 10.1145/320776.320779]
[3]   A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type [J].
Crank, J ;
Nicolson, P .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 6 (3-4) :207-226
[4]   ON THE NUMERICAL INTEGRATION OF D2U-DX2+D2U-DY2=DU-D+ IMPLICIT METHODS [J].
DOUGLAS, J .
JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1955, 3 (01) :42-65
[5]  
DOUGLAS J, UNPUB J MATH PHYSICS
[6]  
DOUGLAS J, 1956, UNPUB PACIFIC J MATH
[7]  
Douglas Jr J, 1955, P AM MATH SOC, V6, P787
[8]  
Halmos P.R., 1950, MEASURE THEORY
[9]  
JUNCOSA ML, 1953, J SOC IND APPL MATH, V1, P111
[10]   *UBER EINE METHODE ZUR LOSUNG DER WARMELEITUNGSGLEICHUNG [J].
LAASONEN, P .
ACTA MATHEMATICA, 1949, 81 (03) :309-317