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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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The initial-value problem for the equation $(tu_{t})_{t}=u_{xx}$
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by Alan Solomon and Faiza Solomon PDF
Math. Comp. 24 (1970), 611-620 Request permission

Abstract:

It is shown that the initial-value problem of the equation ${(t{u_t})_t} = {u_{xx}}$ with the value of $u$ prescribed for $t = 0$ has a unique solution satisfying a maximum principle. In addition, several numerical schemes for its solution are proposed.
References
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Math. Comp. 24 (1970), 611-620
  • MSC: Primary 65.67; Secondary 35.00
  • DOI: https://doi.org/10.1090/S0025-5718-1970-0273847-1
  • MathSciNet review: 0273847