Zobrazeno 1 - 10
of 976
pro vyhledávání: '"Sato Shun"'
Autor:
Keiichiro Miyajima, Fumihiko Urabe, Tsuzuki Shunsuke, Sato Shun, Hiroyuki Takahashi, Koji Asano, Mitsuru Yanagaki, Michinori Matsumoto, Toru Ikegami, Takahiro Kimura
Publikováno v:
IJU Case Reports, Vol 6, Iss 6, Pp 370-372 (2023)
Introduction Here we present a rare case of hepatocellular carcinoma metastasis to the urinary bladder in a patient with metastatic HCC. Case presentation An 83‐year‐old man developed gross hematuria during combined treatment with an anti‐progr
Externí odkaz:
https://doaj.org/article/46a001e60fbc47ff9e80addacefa22a6
The B-series composition theorem has been an important topic in numerical analysis of ordinary differential equations for the past-half century. Traditional proofs of this theorem rely on labelled trees, whereas recent developments in B-series analys
Externí odkaz:
http://arxiv.org/abs/2409.08533
Nesterov's acceleration in continuous optimization can be understood in a novel way when Nesterov's accelerated gradient (NAG) method is considered as a linear multistep (LM) method for gradient flow. Although the NAG method for strongly convex funct
Externí odkaz:
http://arxiv.org/abs/2404.10238
Furihata and Matsuo proposed in 2010 an energy-conserving scheme for the Zakharov equations, as an application of the discrete variational derivative method (DVDM). This scheme is distinguished from conventional methods (in particular the one devised
Externí odkaz:
http://arxiv.org/abs/2403.07336
We propose a new unified framework for describing and designing gradient-based convex optimization methods from a numerical analysis perspective. There the key is the new concept of weak discrete gradients (weak DGs), which is a generalization of DGs
Externí odkaz:
http://arxiv.org/abs/2302.07404
Some continuous optimization methods can be connected to ordinary differential equations (ODEs) by taking continuous limits, and their convergence rates can be explained by the ODEs. However, since such ODEs can achieve any convergence rate by time s
Externí odkaz:
http://arxiv.org/abs/2206.02599
In this paper, we propose linearly implicit and arbitrary high-order conservative numerical schemes for ordinary differential equations with a quadratic invariant. Many differential equations have invariants, and numerical schemes for preserving them
Externí odkaz:
http://arxiv.org/abs/2203.00944
Existence results on Lagrange multiplier approach for gradient flows and application to optimization
Autor:
Onuma, Kenya, Sato, Shun
This paper deals with the geometric numerical integration of gradient flow and its application to optimization. Gradient flows often appear as model equations of various physical phenomena, and their dissipation laws are essential. Therefore, dissipa
Externí odkaz:
http://arxiv.org/abs/2110.15550
Autor:
Miyajima, Keiichiro, Sato, Shun, Uchida, Naoki, Suzuki, Hirotaka, Iwatani, Kosuke, Imai, Yu, Aikawa, Koichi, Yanagisawa, Takafumi, Kimura, Shoji, Tashiro, Kojiro, Tsuzuki, Shunsuke, Honda, Mariko, Koike, Yusuke, Miki, Jun, Miki, Kenta, Shimomura, Tatsuya, Yuen, Steffi, Yamada, Yuta, Aoki, Manabu, Takahashi, Hiroyuki, Urabe, Fumihiko, Kimura, Takahiro
Publikováno v:
In Clinical Genitourinary Cancer April 2024 22(2):149-156
Autor:
Kemmochi, Tomoya, Sato, Shun
In this paper, we present a novel investigation of the so-called SAV approach, which is a framework to construct linearly implicit geometric numerical integrators for partial differential equations with variational structure. SAV approach was origina
Externí odkaz:
http://arxiv.org/abs/2105.04055