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- W51492646 abstract "This chapter focuses on the choice of algorithms in automated method of lines solution of partial differential equations. It discusses the integration algorithm and the Hindmarsh–Gear algorithm. Although a number of integration routines have been available in FORSIM, including Runge–Kutta, Fowler–Warten, Adams, Gear and Bulirsch–Stoer, the implementation of Gear's algorithm by Hindmarsh has proved the most robust. This requires less storage and time for matrix manipulation than the original Gear. Hyperbolic equations may also be solved by using symmetric difference formulae, but the probability of getting a good solution is considerably lower. In systems of hyperbolic equations, the problem does not end with the determination of the number of boundary conditions required, as the boundary on which the relationships are to be applied should also be known." @default.
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- W51492646 date "1976-01-01" @default.
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- W51492646 title "The Choice of Algorithms in Automated Method of Lines Solution of Partial Differential Equations" @default.
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- W51492646 doi "https://doi.org/10.1016/b978-0-12-436640-4.50018-6" @default.
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