Integral equation from an amateur's standpoint: technical memorandum
| dc.contributor.author | Morel-Seytoux, Hubert J., author | |
| dc.contributor.author | Colorado State University, publisher | |
| dc.date.accessioned | 2019-09-17T16:09:51Z | |
| dc.date.available | 2019-09-17T16:09:51Z | |
| dc.date.issued | 1965-03-08 | |
| dc.description | CER65HJM-76. | |
| dc.description | March 8, 1965. | |
| dc.description | Includes bibliographical references (page 20). | |
| dc.description.abstract | Methods of solution of linear integral equations are described. Methods are compared and ranked with respect to the ease with which they can yield exact analytical solutions in closed form. It is concluded that methods based on transform theory are most efficient. The transform method uses the transform property of the kernel operation itself, or that of an external transform operator, e .g., Laplace's transform. In the latter case the integral equation is Laplace-transformed, whereas in the former case the equation is "kernel"-transformed. The kernel-transform procedure yields immediate result whenever the nth-iterated kernel operator is expressible as a linear combination of lower order iterated kernel operators. The Laplace transform method yields immediate results whenever the integral in the equation is a convolution of the kernel and the unknown function. Generalizations are possible. | |
| dc.format.medium | technical reports | |
| dc.identifier.uri | https://hdl.handle.net/10217/197906 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation | Catalog record number (MMS ID): 991012690029703361 | |
| dc.relation.ispartof | Civil Engineering Reports | |
| dc.relation.ispartof | CER, 65-76 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.subject | Integral equations | |
| dc.title | Integral equation from an amateur's standpoint: technical memorandum | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). |
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