×

Determination of certain parameters in heat conduction problems. (English) Zbl 0131.32104


Full Text: DOI

References:

[1] Douglas, J.; Jones, B. F., The determination of a coefficient in a parabolic differential equation, Part II, numerical approximation of the coefficient, J. Math. Mech., 11, 919-926 (1962) · Zbl 0112.32603
[2] Jones, B. F., The determination of a coefficient in a parabolic differential equation, Part I, Existence and uniqueness, J. Math. Mech., 11, 907-918 (1962) · Zbl 0112.32602
[3] Hartman, P.; Wintner, A., On the solutions of the equations of heat conduction, Am. J. Math., 72, 367-395 (1950) · Zbl 0038.25801
[4] Weber, H., (Die Partiellen Differential-Gleichungen der Mathematischen Physik, Vol. 2 (1912), Vieweg: Vieweg Braunschweig, Germany), 111-117 · JFM 43.0438.12
[5] Franklin, P., A Treatise on Advanced Calculus (1940), Wiley: Wiley New York · JFM 66.0196.03
[6] Douglas, J., A survey of numerical methods for parabolic differential equations, Advanc. Computers, 2 (1961) · Zbl 0133.38503
[7] Cannon, J. R., Some non-classical problems in heat conduction, Rice University Ph. D. Thesis (1962)
[8] Carslaw, H. S.; Jaeger, J. C., Conduction of Heat in Solids (1959), Clarendon Press: Clarendon Press Oxford · Zbl 0029.37801
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.