Constructive and Computational Methods for Differential and Integral Equations

D. L. Colton, R. P. Gilbert, "Constructive and Computational Methods for Differential and Integral Equations"
Sp rin ger | 1975 | ISBN: 3540070214 | 476 pages | Djvu | 1,9 mb

PREFACE

The following articles represent the contributed and invited lectures given at the Symposium on Constructive and Computational Methods for Differential and Integral Equations held at Indiana University, Bloomington, Indiana, from February 17-20, 1974. The Symposium was organized through the Research Center for Applied Science at Indiana University under the sponsorship of the Air Force Office of Scientific Research Grant No. 74-2674.

One of the main objects of this Symposium was to collect together those mathematicians working in the general area of constructive and computational methods for solving differential and integral equations in order to prepare a survey of recent developments in this important area of applied mathematical research. Such a survey would have the
aim of not only coordinating the work of the active researchers in this area, but would also supply a means through which applied mathematicians and engineers could become more acquainted with the new methods now available for solving problems they may be presently grappling with unsuccessfully. The following collection of addresses
therefore contains both reviews and discussions of current problems and it Is hoped they will provide a beginning towards accomplishing the long range objectives of the Symposium.

It was decided by the Editors that it also would be interesting to hear if the new generation of computers such as the ILLLAC IV would pose new techniques and perhaps introduce new mathematical problems in the study of the numerical solution of differential and integral equations. As it is apparent from the lecture by Robert Wilhelmson, parallel computation is still somewhat in its infancy and even though it shows great promise, it is difficult to assess at this time how much it will influence the development of numerical methods for solving differential and Integral equations. The organizers take this opportunity of thanking the Air Force Office of Scientific Research for making the Symposium possible. They would also like to gratefully acknowledge the assistance of many members of the Systems Analysis Institute and Computer Science Department of Indiana University whose help contributed immeasurably to the success of the Symposium.
David L. Colton
R. Pertsch Gilbert

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