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高安 亮紀

Takayasu, Akitoshi

システム情報系 , 准教授
Institute of Systems and Information Engineering , Associate Professor

http://www.risk.tsukuba.ac.jp/~takitoshi/

TRiSTAR第1期フェロー（2022年前期）高安 亮紀

2022-04-01

高安 亮紀
オープンアクセス版の論文は「つくばリポジトリ」で読むことができます。
  1. 1. Monodromy approach to pair production of charged black holes and electric fields Chen, Chiang-Mei; Ishige, Toshimasa; Kim, Sang Pyo; Takayasu, AkitoshiWei, Chun-Yu
      CHINESE JOURNAL OF PHYSICS 86: 255 (2023) Semantic Scholar
  2. 2. Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh-Ritz procedure for generalized Hermitian eigenvalue problems Akira, Imakura; Keiichi, Morikuni; Akitoshi, Takayasu
      JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 424: 1 (2023) Semantic Scholar
  3. 3. Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature Lessard, Jean-Philippe; Matsue, Kaname; Takayasu, Akitoshi
      JOURNAL OF NONLINEAR SCIENCE 33: (2023) Semantic Scholar
  4. 4. Complex moment-based methods for differential eigenvalue problems Imakura, Akira; Morikuni, Keiichi; Takayasu, Akitoshi
      NUMERICAL ALGORITHMS 92: 693 (2023) Semantic Scholar
  5. 5. Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi
      Communications in Nonlinear Science and Numerical Simulation 107: (2022) Semantic Scholar
  6. 6. A geometric characterization of unstable blow-up solutions with computer-assisted proof Lessard, Jean-Philippe; Matsue, Kaname; Takayasu, Akitoshi
      arXiv:2103.12390 [math.DS] (2021)
  7. 7. Global dynamics in nonconservative nonlinear Schrödinger equations Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi
      arXiv:2012.09734 [math.AP] (2020)
  8. 8. Numerical validation of blow-up solutions with quasi-homogeneous compactifications Matsue, Kaname; Takayasu, Akitoshi
      NUMERISCHE MATHEMATIK 145: 605 (2020) Semantic Scholar
  9. 9. A computer-assisted proof for nonlinear heat equations in the complex plane time Takayasu, Akitoshi
      RIMS Kôkyûroku Bessatsu B82: 47 (2020)
  10. 10. Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems Imakura, A; Morikuni, K; Takayasu, A
      Journal of Computational and Applied Mathematics 369: (2019) Semantic Scholar
  11. 11. Rigorous numerics for nonlinear heat equations in the complex plane of time Takayasu, Akitoshi; Lessard, Jean-Philippe; Jaquette, Jonathan; Okamoto, Hisashi
      arXiv:1910.12472 [math.DS] (2019)
  12. 12. Rigorous numerical computations for 1D advection equations with variable coefficients Takayasu, Akitoshi; Yoon, Suro; Endo, Yasunori
      Japan Journal of Industrial and Applied Mathematics 36: 357 (2019) Semantic Scholar
  13. 13. RNN による現象を記述した微分方程式の解のふるまいのモデルフリー予測 木南, 優希; 遠藤, 靖典; 高安, 亮紀
      Proceedings of the Fuzzy System Symposium 35: 185 (2019)
  14. 14. RNN による Duffing 方程式の解のふるまいのモデルフリー予測 野澤,健三; 遠藤,靖典; 高安,亮紀
      Proceedings of the Fuzzy System Symposium 35: 179 (2019)
  15. 15. 一般化エルミート固有値問題の周回積分型精度保証付き部分固有値計算 今倉, 暁; 保國, 惠一; 高安, 亮紀
      日本応用数理学会2018年度年会 予稿集 189 (2018)
  16. 16. Verified Partial Eigenvalue Computation for Generalized Hermitian Eigenproblems Using Contour Integrals 今倉 暁; Imakura, A; 保國 惠一; ikuni, K (+1 著者) Takayasu, A
      Book of Abstracts, 47th Numerical Analysis Symposium (NAS2018) 1 (2018)
  17. 17. スイッチトリラクタンスモータのインダクタンスに及ぼす巻線角度の影響 高橋勇人; 新宅勇一; 高安亮紀; 高橋徹
      電気学会全国大会 (2018)
  18. 18. 擬斉次コンパクト化を利用する爆発解の精度保証付き数値計算 高安, 亮紀; 松江, 要
      2017年度応用数学合同研究集会 講演予稿集 (2017)
  19. 19. Influence of Stator Pole on Magnetic Field Distribution of Switched Reluctance Motor Takahashi, Toru; Shintaku, Yuichi; Takayasu, Akitoshi
      Proceedings of 24th International Conference on Electrical Engineering (2017)
  20. 20. Accurate method of verified computing for solutions of semilinear heat equations Takayasu, Akitoshi; Mizuguchi, Makoto; Kubo, Takayuki; Shin'ichi, Oishi
      Reliable computing 25: 74 (2017)
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  1. 1. 精度保証付き数値計算の基礎 高安,亮紀 (担当:分担執筆, 範囲:非線形方程式の精度保証付き数値解法)
    2018年7月 (ISBN: 9784339028874)

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