A PRIORI ESTIMATES FOR THE SOLUTIONS OF DIFFERENCE APPROXIMATIONS TO PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

被引：47

作者：

LEES, M

机构：

来源：

DUKE MATHEMATICAL JOURNAL | 1960年 / 27卷 / 03期

关键词：

D O I：

10.1215/S0012-7094-60-02727-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：297 / 311

页数：15

共 16 条

[1] Partial differential equations of mathematical physics [J].

Courant, R ;

Friedrichs, K ;

Lewy, H .

MATHEMATISCHE ANNALEN, 1928, 100 :32-74

[2] 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

[3] ON THE RELATION BETWEEN STABILITY AND CONVERGENCE IN THE NUMERICAL SOLUTION OF LINEAR PARABOLIC AND HYPERBOLIC DIFFERENTIAL EQUATIONS [J].

DOUGLAS, J .

JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1956, 4 (01) :20-37

[4]

DOUGLAS J, 1956, B AM MATH SOC, V62, P558

[5]

DOUGLAS J, 1956, PAC J MATH, V6, P35

[6]

DOUGLAS J, 1958, T AM MATH SOC, V89, P484

[7] ON INTEGRATION OF PARABOLIC EQUATIONS BY DIFFERENCE METHODS .1. LINEAR AND QUASI-LINEAR EQUATIONS FOR THE INFINITE INTERVAL [J].

JOHN, F .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1952, 5 (02) :155-211

[8] *UBER EINE METHODE ZUR LOSUNG DER WARMELEITUNGSGLEICHUNG [J].

LAASONEN, P .

ACTA MATHEMATICA, 1949, 81 (03) :309-317

[9] SURVEY OF THE STABILITY OF LINEAR FINITE DIFFERENCE EQUATIONS [J].

LAX, PD ;

RICHTMYER, RD .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1956, 9 (02) :267-293

[10] APPROXIMATE SOLUTIONS OF PARABOLIC EQUATIONS [J].

LEES, M .

JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1959, 7 (02) :167-183

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