Author

T. Kouya

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Preprint Aug 2026

Performance Evaluation of an Adaptive Quadrature and a Double Exponential Formula Using Arbitrary-Precision Floating-Point Arithmetic

Using arbitrary-precision arithmetic provided by the GNU Multiple Precision Floating-Point Reliable Library, we implement AQE11D---that is, Ninomiya's adaptive 9-point Newton--Cotes rule extended with a sequence of higher-order rules---and Takahasi and Moris'double exponential (DE) formula. We evaluate them for Kahaner...

T. Kouya · 0 citations

Preprint Jul 2026

Construction and Performance Evaluation of an Arbitrary-Precision Floating-Point Arithmetic Environment on CUDA

This study developed mpc\_cuda, an arbitrary-precision arithmetic environment for GPUs, by leveraging generative AI and rerunnable conversion scripts to faithfully port the mini-GMP-based MPFR/MPC libraries to CUDA kernels while reserving a per-thread temporary storage region (a bump arena).

T. Kouya · 0 citations