The numerical solution of BVPs using the Unified Transform Method

32 mins 50 secs,  78.28 MB,  WebM  640x360,  30.0 fps,  44100 Hz,  325.52 kbits/sec
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Description: Deconinck, B
Friday 13th December 2019 - 13:30 to 14:00
 
Created: 2019-12-16 12:49
Collection: Complex analysis: techniques, applications and computations
Publisher: Isaac Newton Institute
Copyright: Deconinck, B
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: Using a semi-discrete analog of the Unified Transform Method of Fokas, we explore the possibility of devising finite-difference schemes that take boundary conditions into account properly. This is done by combining the exact solution for the linear problem with the solution of the nonlinear problem in a split-step approach. In this talk, I will discuss the first step of this project, where the solution of the linear problem is explored.

Co-author: Jorge Cisneros (University of Washington)
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