کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
518161 867564 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High-order low-dissipation low-dispersion diagonally implicit Runge–Kutta schemes
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
High-order low-dissipation low-dispersion diagonally implicit Runge–Kutta schemes
چکیده انگلیسی

High-order low-dissipation low-dispersion diagonally implicit Runge–Kutta schemes are analyzed and introduced, based on the optimization of amplification and phase errors for wave propagation. Various optimized schemes can be obtained. The new scheme shows negligible dissipation. It is illustrated mathematically and numerically that the new scheme preserves fourth-order accuracy, while the recently developed diagonally implicit Runge–Kutta scheme does not. The numerical applications contain the advection equation with and without a stiff nonlinear source term and an oscillatory test. The new scheme is A-stable as desired for the solution of stiff problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 286, 1 April 2015, Pages 38–48
نویسندگان
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