کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627357 1631809 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Randomized and quantum complexity of nonlinear two-point BVPs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Randomized and quantum complexity of nonlinear two-point BVPs
چکیده انگلیسی

We deal with the complexity of nonlinear BVPs with nonlinear two-point boundary conditions. We consider the randomized and quantum models of computation. We assume that the right-hand side function is r   times differentiable with all derivatives bounded by a constant. We show that the εε-complexity is roughly of order ε-1/(r+1/2)ε-1/(r+1/2) in the randomized setting, and ε-1/(r+1)ε-1/(r+1) in the quantum setting. We compare our results with known results in the deterministic setting. The speed-up of the randomized computations with respect to the deterministic computations is by 1/(r(2r+1))1/(r(2r+1)) in the exponent of 1/ε1/ε, and the speed-up of the quantum computations by 1/(r(r+1))1/(r(r+1)) in the exponent.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 245, 15 October 2014, Pages 357–371
نویسندگان
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