A PIC method for solving a paraxial model of highly relativistic beams (Q1012507)

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scientific article; zbMATH DE number 5545801
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A PIC method for solving a paraxial model of highly relativistic beams
scientific article; zbMATH DE number 5545801

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    A PIC method for solving a paraxial model of highly relativistic beams (English)
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    21 April 2009
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    The paper aims at developing a `particle in cell' (PIC) method for solving a paraxial model of highly relativistic beams; certain numerical schemes, with error estimates, are presented, and a well adapted particle approach is used to contruct the PIC method. Finally, numerical illustrations are made, making comparisons with the Vlasov-Poisson model. The paper may be of interest to someone working on numerical solutions of Vlasov-Maxwell problem.
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    Vlasov-Maxwell paraxial approximation
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    numerical schemes
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    Vlasov-Poisson relativistic beams
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