کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643474 1632059 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A fast iterative method for discretized Volterra–Fredholm integral equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A fast iterative method for discretized Volterra–Fredholm integral equations
چکیده انگلیسی

Solving the nonlinear systems arising in the discretization in space and time of Volterra–Fredholm integral equations by Newton iteration leads to dense linear systems whose dimension depends on the spatial mesh. The solution of these linear systems can hence be very costly. Here we try to reduce these costs by solving each Newton iteration by a non-stationary inner iteration process. Each inner iteration again requires the solution of a linear system. However, since the splitting matrix is diagonal, now the components or sets of components can be computed in parallel. The performance of this iteration method is illustrated by means of a few significative examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 189, Issues 1–2, 1 May 2006, Pages 568–579
نویسندگان
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