齊藤 宣一 (SAITO, Norikazu)

プレプリント

  1. D. Inoue, Y. Ito, T. Kashiwabara, N. Saito and H. Yoshida, Convergence analysis of the upwind difference methods for Hamilton-Jacobi-Bellman equations, arXiv: 2301.06415

論文（査読付き）

  1. H. Nakamura and N. Saito, On the convergence rates of generalized conditional gradient method for fully discretized Mean Field Games, to appear in ESAIM Math. Model. Numer. Anal., Vol. XX, No. X (202X) XXXX-XXXX. DOI: 10.1051/m2an/XXXXXX [arXiv: 2602.11640]
  2. H. Nakamura and N. Saito, On the generalized conditional gradient method for mean field games with local coupling terms, Appl. Math. Optim. Vol. 94, (2026) article number 62. DOI: 10.1007/s00245-026-10506-z [arXiv: 2601.18224]
  3. Y. Chiba, N. Saito, Y. Ueda and H. Yoshida, Scale-free congestion clusters in large-scale traffic networks: a continuum modeling study, Phys. A, Vol. 698, 15 (2026) 131810. DOI: 10.1016/j.physa.2026.131810 [arXiv: 2604.05439 ]
  4. M. Miyashita and N. Saito: A finite element method to a periodic steady-state problem for an electromagnetic field system using the space-time finite element exterior calculus, Commun. Appl. Math. Comput., Vol. 8, No. 1 (2026) 41-62. DOI: 10.1007/s42967-024-00399-6 [arXiv: 2201.04481]
  5. D. Inoue, Y. Ito, T. Kashiwabara, N. Saito and H. Yoshida, An uncertainty-aware, mesh-free numerical method for Kolmogorov PDEs, J. Sci. Comput., Vol. 103, No. 2, Article No. 41 (2025). DOI: 10.1007/s10915-025-02846-9
  6. Y. Chiba and N. Saito: Nitsche's method for a Robin boundary value problem in a smooth domain, Numer. Methods Partial Differential Equations, Vol. 39, No. 6 (2023) 4126-4144. DOI: 10.1002/num.23038 [arXiv: 1905.01605]
  7. D. Inoue, Y. Ito, T. Kashiwabara, N. Saito and H. Yoshida: Model predictive mean field games for controlling multi-agent systems, IFAC J. Syst. Control, Vol. 24, 100217 (2023) DOI: 10.1016/j.ifacsc.2023.100217 [arXiv: 2004.07994]
  8. D. Inoue, Y. Ito, T. Kashiwabara, N. Saito and H. Yoshida: A fictitious-play finite-difference method for linearly solvable mean field games, ESAIM Math. Model. Numer. Anal., Vol. 57, No. 4 (2023) 1863-1892. DOI: 10.1051/m2an/2023026 [arXiv: 2204.07278]
  9. T. Nakanishi and N. Saito: A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up, Int. J. Comput. Math. ,Vol. 99, No. 9 (2022) 1890-1917. DOI: 10.1080/00207160.2021.2019716 [arXiv: 2012.06422]
  10. N. Saito: Variational analysis of the discontinuous Galerkin time-stepping method for parabolic equations, IMA J. Numer. Anal., Vol. 41, No. 2 (2021) 1253-1278. DOI: 10.1093/imanum/draa017 [Article (free access)] [arXiv:1710.10543]
  11. T. Nakanishi and N. Saito: Finite element method for radially symmetric solution of a multidimensional semilinear heat equation, Jpn. J. Ind. Appl. Math., Vol. 37, Issue 1 (2020) 165-191. DOI: 10.1007/s13160-019-00393-z
  12. Y. Chiba and N. Saito: Weak discrete maximum principle and $L^\infty$ analysis of the DG method for the Poisson equation on a polygonal domain, Jpn. J. Ind. Appl. Math., Vol. 36, Issue 3 (2019) 809-834. DOI: 10.1007/s13160-019-00365-3
  13. Y. Ueda and N. Saito: Stability and error estimates for the successive-projection technique with B-splines in time, J. Comput. Appl. Math., Vol. 358, No. 1 (2019) 266-278. DOI: 10.1016/j.cam.2019.03.026
  14. Y. Ueda and N. Saito: The inf-sup condition and error estimates of the Nitsche method for evolutionary diffusion-advection-reaction equations, Jpn. J. Ind. Appl. Math., Vol. 36, Issue 1 (2019) 209-238. DOI: 10.1007/s13160-018-0338-4.
  15. N. Saito and Y. Sugitani: Analysis of the immersed boundary method for a finite element Stokes problem, Numer. Methods Partial Differential Equations, Vol. 35, Issue 1 (2019) 181-199. DOI: 10.1002/num.22296
  16. M. Miyashita and N. Saito: Hybridized discontinuous Galerkin method for elliptic interface problems: error estimates under low regularity assumptions of solutions, J. Sci. Comput., Vol. 76, Issue 3 (2018) 1657-1673. DOI: 10.1007/s10915-018-0678-x
  17. T. Kemmochi and N. Saito: Discrete maximal regularity and the finite element method for parabolic equations, Numer. Math., Vol. 138, Issue 4 (2018) 905-937. DOI: 10.1007/s00211-017-0929-z
  18. G. Zhou and N. Saito: Finite volume methods for a Keller-Segel system: discrete energy, error estimates and numerical blow-up analysis, Numer. Math. , Vol. 135, Issue 1 (2017) 265-311. DOI: 10.1007/s00211-016-0793-2
  19. N. Saito, Y. Sugitani and G. Zhou: Energy inequalities and outflow boundary conditions for the Navier-Stokes equations, Advances in Computational Fluid-Structure Interaction and Flow Simulation: New Methods and Challenging Computations---A tribute to the life and work of Tayfun E. Tezduyar on the occasion of his 60th Birthday, Editors: Y. Bazilevs, and K. Takizawa, 2016, Birkhauser, 307-317. DOI: 10.1007/978-3-319-40827-9_24
  20. G. Zhou and N. Saito: The Navier-Stokes equations under a unilateral boundary condition of Signorini's type, J. Math. Fluid Mech. , Vol. 18, Issue 3 (2016) 481-510. DOI: 10.1007/s00021-016-0248-7
  21. N. Saito and T. Sasaki: Finite difference approximation for nonlinear Schr\" odinger equations with application to blow-up computation, Jpn. J. Ind. Appl. Math., Vol. 33 (2016) 427-470. DOI: 10.1007/s13160-016-0218-8
  22. N. Saito, Y. Sugitani, and G. Zhou: Unilateral problem for the Stokes equations: the well-posedness and finite element approximation, Appl. Numer. Math., Vol. 105 (2016) 124-147. DOI: 10.1016/j.apnum.2016.03.002
  23. N. Saito and T. Sasaki: Blow-up of finite-difference solutions to nonlinear wave equations, J. Math. Sci. Univ. Tokyo, Vol. 23, No. 1, (2016) 349-380. DOI: Unspecified
  24. N. Saito and G. Zhou: Analysis of the fictitious domain method with an $L^2$-penalty for elliptic problems, Numer. Funct. Anal. Optim. Vol. 36, No. 4, (2015) 501–527. DOI: 10.1080/01630563.2015.1013554
  25. G. Zhou and N. Saito: Analysis of the fictitious domain method with penalty for elliptic problems, Jpn. J. Ind. Appl. Math. , Vol. 31, No. 1, (2014) 57-85. DOI: 10.1007/s13160-013-0124-2
  26. N. Saito: Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis, Commun. Pure Appl. Anal. , Vol. 11, Issue 1, (2012), 339-364. DOI: 10.3934/cpaa.2012.11.339
  27. N. Saito: Conservative numerical schemes for the Keller-Segel system and numerical results, RIMS K\^oky\^uroku Bessatsu, Vol. B15 (2009), Res. Inst. Math. Sci. (RIMS), Kyoto, 125-146. DOI: Unspecified
  28. K. Ohmori and N. Saito: Some remarks on the flux-free finite-element method for immiscible two-fluid flows, J. Comput. Appl. Math. , Vol. 232, No. 1 (2009) 127-138. DOI: 10.1016/j.cam.2008.10.044
  29. K. Ohmori and N. Saito: Flux-free finite element method with Lagrange multipliers for two-fluid flows, J. Sci. Comput. . Vol. 32, No. 2 (2007) 147-173. DOI: 10.1007/s10915-006-9127-3
  30. N. Saito: Conservative upwind finite element method for a simplified Keller-Segel system modelling chemotaxis, IMA J. Numer. Anal., Vol. 27, No. 2 (2007) 332-365. DOI: 10.1093/imanum/drl018
  31. K. Ohmori and N. Saito: On the convergence of finite element solutions to the interface problem for the Stokes system, J. Comput. Appl. Math. , Vol. 198, No. 1 (2007) 116-128. DOI: 10.1016/j.cam.2005.11.018
  32. 林賢治，齊藤宣一：腫瘍の浸潤を記述する数理モデルへの差分法，日本応用数理学会論文誌，第17巻，第3号，2007年，331-345.
  33. N. Saito: An interpretation of the Scharfetter-Gummel finite difference scheme, Proc. Japan Acad. Ser. A, Math. Sci. , Vol. 82, No. 10 (2006) 187-191. [pdf]
  34. N. Saito and T. Suzuki: Notes on finite difference schemes to a parabolic-elliptic system modelling chemotaxis, Appl. Math. Comput. , Vol. 171, No. 1 (2005) 72-90. DOI: 10.1016/j.amc.2005.01.037
  35. A. Mizutani, N. Saito and T. Suzuki: Finite element approximation for degenerate parabolic equations. An application of nonlinear semigroup theory, M2AN: Math. Model. Numer. Anal. , Vol. 39, No. 4 (2005) 755-780. DOI: 10.1051/m2an:2005033
  36. N. Saito: Remarks on the rational approximation of holomorphic semigroups with nonuniform partitions, Jpn. J. Ind. Appl. Math. , Vol. 21, No. 3 (2004) 323-337. DOI: 10.1007/BF03167586
  37. N. Saito: A holomorphic semigroup approach to the lumped mass finite element method, J. Comput. Appl. Math. , Vol. 169, No. 1 (2004) 71-85. DOI: 10.1016/j.cam.2003.11.003
  38. N. Saito: On the Stokes equation with the leak and slip boundary conditions of friction type: regularity of solutions, Publ. Res. Inst. Math. Sci. , Vol. 40 (2004) 345-383. [pdf] , Errata Vol. 48 (2012) 475-476, DOI: 10.2977/PRIMS/76
  39. N. Saito and H. Fujita: Operator theoretical analysis to domain decomposition methods, Domain Decomposition Methods in Sciences and Engineering, Vol. 12 (2001) 63-70, DDM.org. [pdf]
  40. N. Saito and H. Fujita: Remarks on traces of $H^1$-functions defined in a domain with corners, J. Math. Sci. Univ. Tokyo, Vol. 7 (2000) 325-345. [pdf]
  41. N. Saito: On the domain-dependence of convergence rate in a domain decomposition method for the Stokes equations, East-West J. Numer. Math. , Vol. 8, No. 1 (2000) 37-55. [pdf]

論文集・解説記事

  1. 研究開発の俯瞰報告書 システム・情報科学技術分野（2023年），国立研究開発法人科学技術振興機構 研究開発戦略センター(CRDS)，2023年3月
  2. 齊藤宣一：数値解析における反例，応用数理，第31巻，第3号，2021年，15-22. DOI: 10.11540/bjsiam.31.3_15
  3. 宮下大，齊藤宣一：高周波プラズマモデリングの数理とその応用，応用数理，第31巻，第2号，2021年，11-18. DOI: 10.11540/bjsiam.31.2_11
  4. N. Saito, D. Sheen and Z. Xie: Special feature: the seventh China–Japan–Korea joint conference on numerical mathematics (CJK2018), Jpn. J. Ind. Appl. Math., Vol. 36, Issue 3 (2019) 987-988. DOI: 10.1007/s13160-019-00388-w
  5. 齊藤宣一：Banach-Ne{\v c}as-Babu{\v s}kaの定理とDG time-stepping法, 京都大学数理解析研究所講究録，Vol. 2094 (2018) 65-72
  6. N. Saito: Notes on the Banach--Ne{\v c}as--Babu{\v s}ka theorem and Kato's minimum modulus of operators, arXiv:1711.01533
  7. N. Saito and G. Zhou: Numerical outflow boundary conditions for the Navier-Stokes equations, 京都大学数理解析研究所講究録，Vol. 1957 (2015) 91-103
  8. 齊藤宣一：Navier-Stokes方程式といろいろな境界条件， 計算工学，第20巻，3号，2015年，13-16
  9. 齊藤宣一：有限体積法，応用数理ハンドブック, 朝倉書店，2013年，472-473
  10. 齊藤宣一：退化放物型方程式に対する有限要素法と有限体積法，京都大学数理解析研究所講究録，Vol. 1810, (2012) 169-188.
  11. 齊藤宣一：発展方程式の数値解析， 第33回発展方程式若手セミナー報告集，2011年．
  12. 齊藤宣一：有限体積法とBaba-Tabata型保存的上流有限要素法， 京都大学数理解析研究所講究録，Vol. 1719 (2010) 130-141 >> [Kyoto University Research Information Repository]
  13. 齊藤宣一：Keller-Segel方程式の数値解析，応用数理，第19巻，第4号，2009年，65-74. DOI: 10.11540/bjsiam.19.4_281
  14. N. Saito: On interpolation spaces in a polygon, 富山大学人間発達科学部紀要，第2巻，第1号，7-12，2007年
  15. N. Saito: Conservative finite-difference scheme to a chemotaxis system, Proceedings of Fourth International Conference FDM: T & A 2006 (August 26-29, 2006, Lozenetz, Bulgaria), I. Farago, P. Vabishchevich and L. Vulkov eds., Rousse (2007) 294-300. [pdf]
  16. 齊藤宣一：走化性放物型系に対する有限要素近似，偏微分方程式と現象： PDEs and Phenomena in Miyazaki 2006 (PPM2006) 報告集，宮崎大学工学部，2007年，60-81．
  17. K. Ohmori and N. Saito: Mass conservative finite element method with Lagrange multipliers for two-fluid flows, Proceedings of the Seventh China-Japan Joint Seminar on Numerical Mathematics, Z. Shi and H. Okamoto eds., Science Press, Beijing, China (2006) 107-119.
  18. N. Saito and T. Suzuki: Field variation and mathematics of blowup, 京都大学数理解析研究所講究録, Vol. 1505 (2006) 106-120 >> [Kyoto University Research Information Repository]
  19. A. Kubo, N. Saito, T. Suzuki and H. Hoshino: Mathematical models of tumour angiogenesis and simulations, 京都大学数理解析研究所講究録, Vol. 1499 (2006) 135-146 >> [Kyoto University Research Information Repository]
  20. H. Fujita and N. Saito: Shape-dependence of convergence rates in DDM, Domain Decomposition Methods: Theory and Applications, GAKUTO International Series, Mathematical Sciences and Applications, Gakkotosho, Vol. 25 (2006) 241-271.
  21. N. Saito: On a duality in $W^{1,p}$ defined on nonsmooth domains, 富山大学教育学部紀要, No. 60 (2006) 107-115
  22. N. Saito and T. Suzuki: A finite difference scheme to the system of self-interacting particles, 京都大学数理解析研究所講究録, Vol. 1320 (2003) 18-28 >> [Kyoto University Research Information Repository]
  23. N. Saito: Regularity of solutions to some variational inequalities for the Stokes equations, Proceedings of the Fifth China-Japan Joint Seminar on Numerical Mathematics, (Shanghai Jiaotong University, China, August 21-25, 2000), Z. Shi and H. Kawarada eds., Science Press, Beijing, China (2002) 65-74.
  24. N. Saito and T. Suzuki: Numerical methods for nonlinear semigroups and degenerate parabolic equations, 京都大学数理解析研究所講究録, Vol. 1254 (2002) 32-40 >> [Kyoto University Research Information Repository]
  25. N. Saito, T. Suzuki, Y. Adachi, H. Kado and M. Shimogawara: New solver to the ill-posed problem in magnetoencephalography, 京都大学数理解析研究所講究録, Vol. 1207 (2002) 29-48 >> [Kyoto University Research Information Repository]
  26. N. Saito and H. Fujita: Regularity of solutions to the Stokes equations under a certain nonlinear boundary condition, The Navier-Stokes Equations: Theory and Numerical Methods (Varenna), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Vol. 223 (2002) 73-86. [pdf]
  27. N. Saito: Regularity of solutions of some variational inequalities for the Stokes equations, 京都大学数理解析研究所講究録, Vol. 1181 (2001) 182-193 >> [Kyoto University Research Information Repository]
  28. Y. Adachi, H. Kado, N. Saito, M. Shimogawara and T. Suzuki: Mathematical foundations for some numerical methods in Magnetoencephalography, The Proceedings of Biomag2000 (2001) 0644-0646.
  29. N. Saito: Domain-dependence of convergence rate in some domain decomposition method for a resolvent Stokes equation, 京都大学数理解析研究所講究録, Vol. 1129 (2000) 73-82 (in Japanese) >> [Kyoto University Research Information Repository]
  30. N. Saito: On the shape of domains and the speed of convergence in a certain DDM for the Stokes equation, Advances in Numerical Mathematics, Gakuto International Series, Mathematical Sciences and Applications, Gakkotosho, Vol. 12 (1999) 251-260.
  31. H. Fujita, M. Fukuhara and N.Saito: On the rate of convergence of iterations in the domain decomposition methods, Proceedings of Third Japan-China Seminar on Numerical Mathematics, (Dalian, China, August 26-30, 1996), Z. Shi and M. Mori eds., Science Press, Beijing, China (1998) 30-43.
  32. H. Fujita and N. Saito: An analytical study of optimal speed of convergence of iterations in DDM under certain shape assumptions of domains, Computational Science for the 21st Century, John Wiley & Sons, (1997) 139-149.
  33. 齊藤宣一，藤田宏：領域分割法における収束の速さの作用素論および数値実験による考察， 京都大学数理解析研究所講究録, Vol. 990 (1997) 206-215 >> [Kyoto University Research Information Repository]

記事

  1. 齊藤宣一，数学・数理科学専攻若手研究者のための異分野異業種研究交流会について，応用数理，第35巻，第2号，2025年，132-134. DOI: 10.11540/bjsiam.35.2_132
  2. 齊藤宣一，日本応用数理学会の始まりとこれから，応用数理，第34巻，第2号，2024年，91. DOI: 10.11540/bjsiam.34.2_91
  3. 齊藤宣一， JOMの今後について，JSIAM Online Magazine, 2024/06/19
  4. 齊藤宣一， 選抜はするけれど（淡青評論1162回） ，東京大学「学内広報」，NO. 1577，2023年12月21日
  5. 齊藤宣一， <送る言葉> 稲葉寿先生を送る言葉 ，東京大学教養学部報，第643号，2023年2月1日
  6. 齊藤宣一， 学会ウェブのリニューアルについて，JSIAM Online Magazine, 2022/12/13
  7. 齊藤宣一，新しい学会事務局について，応用数理，第31巻，第3号，2021年，38-43. DOI: 10.11540/bjsiam.31.3_38， [初出，新しい学会事務局について，JSIAM Online Magazine, Article: K2103A, Date: 2021/04/21]
  8. 齊藤宣一，計算とは何か，数理科学：《計算》とは何か--数値がもたらす様々な問いかけ，2021年8月号（No. 698）
  9. 齊藤宣一，偏微分方程式と数値計算，数理科学：《計算》とは何か--数値がもたらす様々な問いかけ，2021年8月号（No. 698）
  10. 齊藤宣一，日本応用数理学会2019年度年会開催報告と若干の思い出（学術会合報告）, JSIAM Online Magazine, 2019/10/08
  11. 齊藤宣一，CJK2018: The Seventh China-Japan-Korea Joint Conference on Numerical Mathematics開催報告（学術会合報告）, JSIAM Online Magazine, Date: 2018/10/20
  12. 齊藤宣一， CSIAM2017とA3 Workshop参加報告（学術会合報告）, JSIAM Online Magazine, 2017/12/05
  13. 齊藤宣一， CJK2016: 第6回日中韓数値数学合同カンファレンス参加報告（学術会合報告）, JSIAM Online Magazine, 2016/11/01
  14. 齊藤宣一， 「科学技術計算と数値解析」研究部会とUTNAS（研究部会だより）, JSIAM Online Magazine, 2014/09/13
  15. 齊藤宣一，東大教師が新入生にすすめる本，UP，2013-4号 [東大教師が新入生にすすめる本2009-2015（東京大学出版会）に掲載] [pdf]
  16. 齊藤宣一，『偏微分方程式の数値解析』（田端正久）（書評）, JSIAM Online Magazine, 2012/12/18
  17. 齊藤宣一，ICIAM 2011（学術会合報告），応用数理，第22巻，1号，2012年，66-67.
  18. 齊藤宣一，数値計算と微積分，数理科学，2009年5月号（第551号），33-39．
  19. 齊藤宣一，〈おくる言葉〉 菊地文雄先生をおくる言葉，東京大学教養学部報，第518号，2009年2月4日
  20. 齊藤宣一，とびらの言葉，日本応用数理学会論文誌，第18巻，3号，2008年．
  21. 齊藤宣一，微分方程式の数値解析，数学セミナー，2008年5月号，32-33．
  22. 齊藤宣一，V. Thomee, Galerkin Finite Element Methods for Parabolic Problems(second edition), Springer, 2006年（書評），応用数理，第17巻，2号，2007年，186-187.
  23. 齊藤宣一，第4回日中数値数学合同セミナー（学術会合報告），応用数理，第9巻，1号，1999年，81-82.

分担執筆

  1. 齊藤宣一：数値解析--偏微分方程式の解を``見る"，数学の現在 e（斎藤毅，河東泰之，小林俊行[編]），第8講，東京大学出版会，2016年5月，3,000円（税抜き価格）．ISBN: 978-4-13-065313-8
  2. K. Eriksson, C. Johnson and A. Logg (齊藤宣一[訳]) 放物型問題に対するアダプティブ法 (Adaptive Computational Methods for Parabolic Problems), 計算力学理論ハンドブック (E. スタイン，R. ドウボースト，T. ヒューズ[編]，田端正久，萩原一郎 [監訳])，，第24章，朝倉書店，2010年06月15日，ISBN978-4-254-23120-5，33,600円．