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April 1, 1963The Computer JournalOpen Access

Some general implicit processes for the numerical solution of differential equations

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Authors

HRH.H. Rosenbrock

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Overview

Randomized trial explores implicit processes for solving differential equations, suggesting stability improvements.

Key Points

  • This research aims to develop general implicit processes for solving simultaneous first-order differential equations.
  • Introduced implicit processes that use successive substitution to solve equations.
  • Designed methods to determine solutions for multiple orders of accuracy.
  • Applied processes that demand solving special forms of simultaneous linear equations.
  • Demonstrated that processes can be devised for any required order, enhancing flexibility.
  • Achieved significant stability margins when applied to linear problems.

Cite This Study

H.H. Rosenbrock (1963) studied this question.

synapsesocial.com/papers/6a77dda7f6b553d308aecf09https://doi.org/10.1093/comjnl/5.4.329
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