Time-dependent Duhamel renormalization method with multiple conservation and dissipation laws
نویسندگان
چکیده
The time dependent spectral renormalization (TDSR) method was introduced by Cole and Musslimani as a novel way to numerically solve initial boundary value problems. An important aspect of the TDSR scheme is its ability incorporate physics in form conservation laws or dissipation rate equations. However, limited include single conserved dissipative quantity. present work significantly extends computational features with (i) incorporation multiple and/or equations, (ii) enforce versatile conditions, (iii) higher order integration strategy. applied on several prototypical evolution equations physical significance. Examples Korteweg-de Vries (KdV), multi-dimensional nonlinear Schr\"odinger (NLS) Allen-Cahn
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2022
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/ac4815