zbMATH — the first resource for mathematics

On the numerical integration of the heat equation. (English) Zbl 0211.19202

65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation
Full Text: DOI EuDML
[1] Riesz, Nagy: Leçons d’analyse fonctionnelle. Académie des sciences de Hongrie 1952. · Zbl 0046.33103
[2] Descloux: Solution of the heat problem by the method of moments. Report. Department of Mathematics. EPF-Lausanne, 1969
[3] Henrici: Discrete variable methods in ordinary differential equation. John Wiley 1962. · Zbl 0112.34901
[4] Goël: Construction of basic functions for numerical utilisation of Ritz method. Numerische Mathematik12, 435–447 (1968). · Zbl 0271.65061
[5] Lions: Equations différentielles opérationnelles. Berlin-Göttingen-Heidelberg: Springer 1961.
[6] Gear: The automatic integration of stiff ordinary differential equations. IFIP congress 68, Edinburgh.
[7] Descloux: The solution of the heat problem by the method of moments, Part 1. Technical report 12. Computer Center. University of California 12, Berkeley, 1967
[8] Weinberger, A. F.: Variational methods for eigenvalue problems. University of Minnesota, Department of Mathematics. · Zbl 0296.49033
[9] Wilson, Nickel: Application of the finite element method to heat conduction analysis. Nuclear Engineering and Design4, 276–286 (1966).
[10] Descloux: On the heat equation. Math. Z.113, 376–382 (1970). · Zbl 0184.13303
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.