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Description: |
Nonlinear partial differential equations (NPDE) of integrable type have important physical applications. They are used to describe electromagnetic waves in optical fibers, surface wave dynamics, charge density waves, breaking wave dynamics etc. Their corresponding initial value problem (IVP) can be solved with the help of the so-called Inverse Scattering Transform (IST) method which allows us to solve it in three steps by only using the initial potential. In this talk we focus on the IVP associated to a specific NPDE of integrable type that is the Korteweg-de Vries (KdV) equation which governs the propagation of surface water waves in long, narrow, shallow canals. We present a numerical method to solve the first step of the path of the IST method. It consists of approximating the solution of some Volterra integral equations. The results give numerical evidence of its effectiveness. This is joint work with Cornelis van der Mee and Sebastiano Seatzu.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Luisa Fermo (Univ. of Cagliari, Italy)
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Institution: |
Department of Mathematics and Computer Science, University of Cagliari
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Place: |
Room 2.4
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| Research Groups: |
-Numerical Analysis and Optimization
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See more:
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