Abstract
For the purpose of overcoming the difficulty of the so-called “intermediate expression swell” in applying computer algebra, a semi-inverse algorithm is proposed. The order of seeking solutions for various problems is partly inverted, i. e., the intermediate expressions appearing in computation are “frozen” in the symbolic form at first, and “unfrozen” till the formal expressionsof final solutions are found out. In this way, the overflow due to the shortage of saving space is avoided. The applications of the algorithm in the problems on nonlinear oscillation, dynamical optimization and interfacial solitary waves are described, which show the effectiveness of the semiinverse algorithm.
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Project supported by the National Natural Science Foundation of China and Shanghai Municipal Natural Science Foundation
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Shiqiang, D., Hongming, Z. A semi-inverse algorithm in application of computer algebra. Appl Math Mech 18, 113–119 (1997). https://doi.org/10.1007/BF02458010
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DOI: https://doi.org/10.1007/BF02458010