SolitaryGravityWave
swMATH ID:  32079 
Software Authors:  Clamond, Didier; Dutykh, Denys 
Description:  Fast accurate computation of the fully nonlinear solitary surface gravity waves. We present an easy to implement and fast algorithm for the computation of the steady solitary gravity wave solution of the free surface Euler equations in irrotational motion. First, the problem is reformulated in a fixed domain using the conformal mapping technique. Second, the problem is reduced to a single equation for the free surface. Third, this equation is solved using Petviashvili’s iterations together with pseudospectral discretisation. This method has a superlinear complexity, since the most demanding operations can be performed using a FFT algorithm. Moreover, when this algorithm is combined with the multiprecision floating point computations, the results can be obtained to any arbitrary accuracy. 
Homepage:  https://de.mathworks.com/matlabcentral/fileexchange/39189solitarywaterwave 
Dependencies:  Matlab 
Related Software:  Matlab; advanpix; SSGW 
Referenced in:  17 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Fast accurate computation of the fully nonlinear solitary surface gravity waves. Zbl 1290.76018 Clamond, Didier; Dutykh, Denys 
2013

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Referenced by 25 Authors
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Referenced in 13 Serials
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