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Calculation of a 3D axial symmetric nonlinear wakefield
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E. V. Chizhonkov
Published/Copyright:
January 27, 2008
A projection (spectral) method is proposed and implemented for solution of a system of nonlinear partial differential equations describing a three-dimensional plasma wakefield. Comparison with results of modelling by a finite difference method is performed. A qualitative difference in the behavior of algorithms is indicated in calculation of functions with gradually decreasing smoothness.
Published Online: 2008-01-27
Published in Print: 2007-12
© de Gruyter 2007
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Articles in the same Issue
- Forthcoming Papers
- Random walks inside a domain for estimation of the gradient of solutions to elliptic boundary value problems
- Calculation of a 3D axial symmetric nonlinear wakefield
- Numerical simulation of flows of a heavy nonviscous fluid with a free surface in the gravity field over a bed surface with an arbitrary profile
- Asymptotic error estimate for general Newton-type methods and its application to differential equations
- Construction of 3D convex and weakly nonconvex hulls in problems of mathematical physics
- Extension of the algebraic aspect of the discrete maximum principle