Numerical Methods and Algorithms

We present Mint, a programming model that enables the non-expert to enjoy the performance benefits of hand coded CUDA without becoming entangled in the details. Mint targets stencil methods, which are an important class of scientific applications. We have implemented the Mint programming model with a source-to-source…

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• BÜNYAMİN YILDIZ

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• MURAT SUBAŞI

We are concerned with the computation of the $\mathcal{L}_\infty$-norm for an $\mathcal{L}_\infty$-function of the form $H(s) = C(s) D(s)^{-1} B(s)$, where the middle factor is the inverse of a meromorphic matrix-valued function, and $C(s),\, B(s)$ are meromorphic functions mapping to short-and-fat and tall-and-skinny…

Financial and commercial applications use decimal data and spend most of their time in decimal arithmetic. Software implementation of decimal arithmetic is typically at least 100 times slower than binary arithmetic implemented in hardware. Therefore, hardware support for decimal arithmetic is required. In this paper,…

A multivariate function f(x 1, …, x N ) can be evaluated via interpolation if its values are given at a finite number nodes of a hyperprismatic grid in the space of independent variables x 1, x 2, …, x N . Interpolation is a way to characterize an infinite data structure (function) by a finite number of data approxima…

• MEHMET ALPER TUNGA

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• CİHAN KARAKUZU

This paper addresses the multiplication of one data sample with multiple constants using addition/subtraction and shift operations, i.e., the multiple constant multiplications (MCM) problem. The MCM problem finds itself and its variants in many applications, such as digital finite impulse response (FIR) filters, linea…

Stabilizing of an inverted pendulum (IP) system is a main problem for researchers working on control theory. Balancing of an inverted pendulum system is one of the major benchmark problems in the control system community. This paper presents optimal tuning of linear quadratic regulator (LQR) controller with The Bees A…

• HASAN HÜSEYİN BİLGİÇ