کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
522954 867885 2007 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Arbitrary order Krylov deferred correction methods for differential algebraic equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Arbitrary order Krylov deferred correction methods for differential algebraic equations
چکیده انگلیسی

In this paper, a new framework for the construction of accurate and efficient numerical methods for differential algebraic equation (DAE) initial value problems is presented. The methods are based on applying spectral deferred correction techniques as preconditioners to a Picard integral collocation formulation for the solution. The resulting preconditioned nonlinear system is solved using Newton–Krylov schemes such as the Newton-GMRES method. Least squares based orthogonal polynomial approximations are computed using Gaussian type quadratures, and spectral integration is used to avoid the numerically unstable differentiation operator. The resulting Krylov deferred correction (KDC) methods are of arbitrary order of accuracy and very stable. Preliminary results show that these new methods are very competitive with existing DAE solvers, particularly when high precision is desired.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 221, Issue 2, 10 February 2007, Pages 739–760
نویسندگان
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