کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1139881 956700 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dispersion, group velocity, and multisymplectic discretizations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Dispersion, group velocity, and multisymplectic discretizations
چکیده انگلیسی

This paper examines the dispersive properties of multisymplectic discretizations of linear and nonlinear PDEs. We focus on a leapfrog in space and time scheme and the Preissman box scheme. We find that the numerical dispersion relations are monotonic and determine the relationship between the group velocities of the different numerical schemes. The group velocity dispersion is used to explain the qualitative differences in the numerical solutions obtained with the different schemes. Furthermore, the numerical dispersion relation is found to be relevant when determining the ability of the discretizations to resolve nonlinear dynamics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 80, Issue 4, December 2009, Pages 741–751
نویسندگان
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