MANDO : a computer program for symbolic manipulation of differential operators generating continuous transformations

<p>The program MANDO efficiently performs computations involving pairs of operators, a single operator, and operators applied to functions, saving time and cost over pencil-·and-paper methods.</p> <p>A versatile but compact data structure, defined under SPIT-BOL's facility for creation of datatypes, contains the operators (and functions) and provides a means for systematically referencing their relevant parts.</p> <p>On input, functions and operators are written in a restricted but natural string format, for which the program can readily convert them to the internal data structure.</p> <p>Central to the method of operation of the derivative routine is its ability to differentiate a function written as a string. This allows for a certain compactness in the internal form. To counteract the relative slowness of string processing in the derivative routine, the program keeps a table of derivatives repeated during the processing . The table is checked for the presence of the function and its derivative before the derivative sequence is applied.</p> <p>Some simplification is performed. The simplification relies on the ordering sequence, followed by a sequence which cancels or combines terms that are alike, except, in general, for numerical multipliers.</p>

Name thesis:degree_name

Master of Science (M.S.)

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Graduate Studies

Year dc:date.available

1973

Author dc:creator

• Davison, David Kenneth

Contributors dc:contributor

• Carl E. Wulfman

• Programming languages (Electronic computers)
• Transformations
• Infinitesimal
• Differential operators
• Computer Sciences
• Physical Sciences and Mathematics

Licence

• http://rightsstatements.org/vocab/NKC/1.0/

Repository record dc:identifier

https://scholarlycommons.pacific.edu/uop_etds/1806

OAI identifier oai:identifier

oai:scholarlycommons.pacific.edu:uop_etds-2805