Amit, R.; Porsching, T. A. The numerical solution of one-dimensional thermally expandable flows. (English) Zbl 0451.76086 J. Math. Anal. Appl. 78, 183-194 (1980). Page: Show Scanned Page Cited in 1 Document MSC: 76T99 Multiphase and multicomponent flows 65Z05 Applications to the sciences 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs Keywords:thermally expandable fluid flow; one dimensional channel; lag-type boundary condition; nuclear reactor cooling channel PDFBibTeX XMLCite \textit{R. Amit} and \textit{T. A. Porsching}, J. Math. Anal. Appl. 78, 183--194 (1980; Zbl 0451.76086) Full Text: DOI References: [1] Amit, R., On the Equations of One Dimensional Thermally Expandable Flows, (Ph. D. dissertation (1978), University of Pittsburgh) · Zbl 0451.76086 [2] Courant, R.; Issacson, E.; Rees, M., On the solution of nonlinear hyperbolic differential equations by finite differences, Comm. Pure Appl. Math., 5, 243-255 (1952) · Zbl 0047.11704 [3] Courant, R.; Friedrichs, K.; Lewy, H., Uber die Partiellen Differenzengleichungen der Mathematischen Physik, Math. Ann., 7, 32-74 (1928) · JFM 54.0486.01 [4] Meyer, J., Hydrodynamic models for the treatment of reactor thermal transients, Nucl. Sci. Engrg., 10, 269-277 (1961) [5] Porsching, T. A., A finite difference method for thermally expandable fluid transients, Nucl. Sci. Engrg., 64, 177-186 (1977) [6] Richtmeyer, R.; Morton, K., Difference Methods for Initial Value Problems (1967), Interscience: Interscience New York [7] Wallis, G. B., One Dimensional Two Phase Flow (1969), McGraw-Hill: McGraw-Hill New York 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.