1. Kaname Matsue and Kyoko Tomoeda,
   "Particle-Laden Flows on Non-Flat Inclines in the Settled Regime: Mathematical Modeling and Numerical Investigations",
   preprint and submitted.

2. Kaname Matsue,
   "Rigorous numerics of finite-time singularities in dynamical systems - methodology and applications",
   arXiv:1711.01911
   https://arxiv.org/abs/1711.01911

3. Kaname Matsue,
   "Rigorous numerics of tubular, conic, star-shaped neighborhoods of slow manifolds for fast-slow systems",
   arXiv:1612.02162
   https://arxiv.org/abs/1612.02162

1. (New!) Kaname Matsue,
   "A simple description of blow-up solutions through dynamics at infinity in nonautonomous ODEs",
   Published in Discrete and Continuous Dynamical Systems
   Preprint ver.: arXiv:2504.02718 https://arxiv.org/abs/2504.02718

2. Taisei Asai, Hisatoshi Kodani, Kaname Matsue, Hiroyuki Ochiai and Takiko Sasaki,
   "Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. I - Method and Justification",
   Nonlinearity, 38(2025), 045003
   https://iopscience.iop.org/article/10.1088/1361-6544/adb52d
   Supplemental  Material: available above.
   arXiv:2211.06865, https://arxiv.org/abs/2211.06865

3. Hisatoshi Kodani, Kaname Matsue, Hiroyuki Ochiai and Akitoshi Takayasu,
   "Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. II - Dynamical Correspondence",
   Nonlinearity, 38(2025), 045004
   https://iopscience.iop.org/article/10.1088/1361-6544/adb52e
   Supplemental  Material: available above.
   arXiv:2211.06868, https://arxiv.org/abs/2211.06868

4. Kaname Matsue,
   "Blow-up behavior for ODEs with normally hyperbolic nature in dynamics at infinity",
   SIAM Journal on Applied Dynamical Systems, 24(2025), 415-456
   https://epubs.siam.org/doi/full/10.1137/23M1588561
   Open Access

5. (Essay in Japanese) 松江 要 (Kaname Matsue),
   "微分方程式・数値解析に現れる不動点定理とその展開 (Fixed Point Theorems in Differential Equations and Numerical Analysis: Fundamentals and Developments)", 数理科学@サイエンス社, (2024) 8月号

6. Yu Ichida, Kaname Matsue and Takashi Okuda-Sakamoto,
   "A refined asymptotic behavior of traveling wave solutions for degenerate nonlinear parabolic equations",
   JSIAM Letters, 12(2020), 65-68.
   https://www.jstage.jst.go.jp/article/jsiaml/12/0/12_65/_article/-char/ja/

7. (Essay in Japanese) Kaname Matsue,
   "サドル (Saddle)", 数学セミナー, 58(2019), 12月号

8. Kaname Matsue,
   "Geometric treatments and a common mechanism in finite-time singularities for autonomous ODEs",
   Journal of Differential Equations, 267(2019), 7313-7368.
   https://www.sciencedirect.com/science/article/pii/S0022039619303274

9. (Proceedings in Japanese) Kaname Matsue,
   "微分方程式の爆発解：精度保証付き数値計算と力学系的解釈 (Blow-up solutions of differential equations: rigorous numerics and dynamical viewpoints)",
   日本シミュレーション学会誌「シミュレーション」, 37, vol.3 (2018)

10. Kaname Matsue,
    "On blow-up solutions of differential equations with Poincare-type compactifications",
    SIAM Journal on Applied Dynamical Systems, 17(2018), 2249-2288
    https://epubs.siam.org/doi/10.1137/17M1124498  
    Open Access

1. Kaname Matsue,
   "Rigorous Numerics for Fast-Slow Systems" (translation of the corresponding Japanese paper),
   Sugaku Expositions, (2023)
   DOI: https://doi.org/10.1090/suga/483

2. Jean-Philippe Lessard, Kaname Matsue and Akitoshi Takayasu,
   "Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature",
   Journal of Nonlinear Science, 33(2023), article 46
   https://link.springer.com/article/10.1007/s00332-023-09900-6 
   Open Access

3. Koki Nitta, Nobito Yamamoto and Kaname Matsue,
   "A numerical verification method to specify homoclinic orbits as application of local Lyapunov functions",
   Japan Journal of Industrial and Applied Mathematics, (2022)
   https://link.springer.com/article/10.1007/s13160-022-00502-5
   Open Access

4. Kaname Matsue and Akitoshi Takayasu,
   "Numerical validation of blow-up solutions with quasi-homogeneous compactifications",
   Numerische Mathematik, 145(2020), 605-654
   https://link.springer.com/article/10.1007/s00211-020-01125-z

5. Kaname Matsue and Akitoshi Takayasu,
   "Rigorous numerics of blow-up solutions for ODEs with exponential nonlinearity",
   Journal of Computational and Applied Mathematics, 374(2020), 112607.
   https://www.sciencedirect.com/science/article/pii/S0377042719306120

6. (In Japanese) Kaname Matsue,
   "Fast-slow系における精度保証付き数値計算 (Rigorous Numerics for Fast-Slow Systems)",
   『数学』（日本数学会編集）, 71(2019), 252-281

7. Kaname Matsue,
   "Rigorous numerics for fast-slow systems with one-dimensional slow variable: Topological shadowing approach",
   Topological Methods in Nonlinear Analysis, 50(2017), 357-468
   DOI: 10.12775/TMNA.2016.072

8. Kaname Matsue, Tomohiro Hiwaki and Nobito Yamamoto,

"On the construction of Lyapunov functions with computer assistance",
Journal of Computational and Applied Mathematics, 319(2017), 385-412
https://www.sciencedirect.com/science/article/pii/S0377042717300067

9. Akitoshi Takayasu, Kaname Matsue, Takiko Sasaki, Kazuaki Tanaka, Makoto Mizuguchi and Shin-ichi Oishi,
   "Numerical validation of blow-up solutions for ODEs",
   Journal of Computational and Applied Mathematics, 314(2017), 10-29
   https://www.sciencedirect.com/science/article/pii/S0377042716305027

10. Kaname Matsue,
    "Rigorous numerics for stationary solutions of dissipative PDEs - Existence and local dynamics -",
    NOLTA: Nonlinear Theory and Its Applications, IEICE, 4(2013), 62-79
    https://doi.org/10.1587/nolta.4.62

11. Kaname Matsue,
    "Rigorous Verification of Bifurcations of Differential Equations via the Conley Index Theory",
    SIAM Journal on Applied Dynamical Systems, 10(2011), 325-359
    https://epubs.siam.org/doi/abs/10.1137/080742944

1. (New!) Kaname Matsue and Moshe Matalon,
   "Hydrodynamically Unstable Premixed Flames in Gravitational Fields: Effect of Gas Expansion",
   Combustion and Flame,  281(2025),  114403
   https://www.sciencedirect.com/science/article/pii/S0010218025004407

2. (New!) (Proceedings) Kaname Matsue and Youhi Morii,
   "Re-Interpretation of Flame Structure Based on Flow Fields",
   Proceedings of The 22nd International Conference on Flow Dynamics (2025).

3. (Proceedings) Kaname Matsue,
   "On Studies of Flame Morphology based on Bifurcation Theory",
   Proceedings of The 21st International Conference on Flow Dynamics (2024).

4. Kaname Matsue and Moshe Matalon,
   "Dynamics of hydrodynamically unstable premixed flames in a gravitational field - Local and global bifurcation structures",
   Combustion Theory and Modelling,  27(2023),  346-374
   https://www.tandfonline.com/doi/full/10.1080/13647830.2023.2165968
   Open Access

5. Kazunori Kuwana, Kaname Matsue, Yasuhide Fukumoto, Ritsu Dobashi and Kozo Saito,
   "Fire whirls: A Combustion Science Perspective",
   Combustion Science and Technology, 195 (2023), 3003-3020
   https://www.tandfonline.com/doi/abs/10.1080/00102202.2021.2019234

6. (Proceedings) Kaname Matsue, Shikhar Mohan and Moshe Matalon,
   "Effect of gravity on hydrodynamically unstable flames", 
   12th Asia-Pacific Conference on Combustion (2019), 4 pages

7. (Proceedings in Japanese) Kaname Matsue,
   "数学・数理科学的アプローチの可能性: 予混合火炎のモデル方程式を例に (Potential of mathematical approach -Equations for premixed flames as an example-)",
   自動車技術会2018年春季大会 (JSAE2018, New Issues and New Approaches of Automotive Control and Modeling), (2018), 6 pages.

1. Kaname Matsue and Kyoko Tomoeda,
   "A mathematical treatment of the bump structure of the particle-laden flows with particle features",
   Japan Journal of Industrial and Applied Mathematics, 39(2022), 1003-1023
   https://link.springer.com/article/10.1007/s13160-022-00521-2

2. Kaname Matsue and Kyoko Tomoeda,
   "Toward a mathematical analysis for a model of suspension flowing down an inclined plane",
   Proceedings of EquaDiff 2017 Conference, (2017), 349-358
   http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/703

1. (New!) Dinh Hoa Nguyen and Kaname Matsue,
   "Analysis of Optima Set in A Class of Non-Convex Geometric Optimization Problems Using Bifurcation Theory",
   Journal of Optimization Theory and Applications, 207(2025), article 68.
   https://doi.org/10.1007/s10957-025-02829-8
   https://arxiv.org/abs/2404.13832

1. (New!) Norio Konno, Kaname Matsue and Etsuo Segawa,
   "A crossover between open quantum random walks to quantum walks",
   Journal of Statistical Physics, 190(2023)
   https://link.springer.com/article/10.1007/s10955-023-03211-6
   arXiv:2007.00940
   https://arxiv.org/abs/2007.00940

2. Kaname Matsue, Leo Matsuoka, Osamu Ogurisu and Etsuo Segawa,
   "Resonant-tunneling in discrete-time quantum walk",
   Quantum Studies: Mathematics and Foundations, 6(2019), 35-44
   https://link.springer.com/article/10.1007/s40509-017-0151-9

3. Norio Konno, Kaname Matsue, Hideo Mitsuhashi and Iwao Sato,
   "Quaternionic quantum walks of Szegedy type and zeta functions of graphs",
   Quantum Information & Computation, 17(2017), 1349-1371

4. Kaname Matsue, Osamu Ogurisu and Etsuo Segawa,
   "Quantum Search on Simplicial Complexes",
   Quantum Studies: Mathematics and Foundations, 5(2018), 551-577
   https://link.springer.com/article/10.1007/s40509-017-0144-8

5. Kaname Matsue, Osamu Ogurisu and Etsuo Segawa,
   "A note on the spectral mapping theorem of quantum walk models",
   Interdisciplinary Information Sciences, 23(2017), 105-114
   https://doi.org/10.4036/iis.2017.A.13

6. Kaname Matsue, Osamu Ogurisu and Etsuo Segawa,
   "Quantum walks on simplicial complexes",
   Quantum Information Processing, 15(2016), 1865–1896
   https://link.springer.com/article/10.1007/s11128-016-1247-6

7. Kaname Matsue, Osamu Ogurisu and Etsuo Segawa,
   "量子ウォーク - ダイナミクスと幾何構造 - (Quantum Walks -Dynamics and Geometry-)",
   京都大学数理解析研究所講究録 (RIMS Ko-Kyu-Roku), 1986(2016), 37-54.

1. (New !) Takashi Kagaya, Miyuki Koiso and Kaname Matsue,
   "Continuation of Capillary Surfaces with Topological Change via the Van Der Waals-Cahn-Hilliard Theory",
   to appear in SIAM Journal on Applied Mathematics.

2. (In Japanese) Ken Nakajima, Makiko Ito, Xiaobin Liang and Kaname Matsue,
   "原子間力顕微鏡によるナノメカニクスの現状と展望 (Present and  Future of Nanomechanics by Atomic Force Microscope)",
   表面科学 (Surface Science), 38(2017), 520-525
   https://www.jstage.jst.go.jp/article/jsssj/38/10/38_520/_article/-char/ja/

3. (Proceedings in Japanese) Kaname Matsue and Akihiko Hirata,
   "計算ホモロジーによるガラスの特徴付け (Characterization of Glasses by Computational Homology)",
   京都大学数理解析研究所講究録 (RIMS Ko-Kyu-Roku), 2005(2016), 97-107.
   https://repository.kulib.kyoto-u.ac.jp/dspace/handle/2433/231516

4. Yasuaki Hiraoka, Takenobu Nakamura, Akihiko Hirata, Emerson G. Escolar, Kaname Matsue and Yasumasa Nishiura,
   "Hierarchical structures of amorphous solids characterized by persistent homology",
   PNAS, 113(2016), 7035-7040
   https://www.pnas.org/doi/10.1073/pnas.1520877113

5. (In Japanese) Kaname Matsue and Hisashi Naito,
   "非一様拡散係数を持つ熱方程式固有値問題の第一固有値の最適化 - 粘性近似問題の大域適切性 - ",
   京都大学数理解析研究所講究録別冊 (RIMS Ko-Kyu-Roku Bessatsu), B54 (2016), 25-48
   PDF in Japanese (abstract available in English)

6. Kaname Matsue and Hisashi Naito,
   "Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogeneous media",
   Japan Journal of Industrial and Applied Mathematics, 32(2015), 489-512
   https://link.springer.com/article/10.1007/s13160-015-0177-5

7. Akihiko Hirata, L.J. Kang, Takeshi Fujita, B. Klumov, Kaname Matsue, Motoko Kotani, A.R. Yavari, MingWei Chen,
   "Geometric Frustration of Icosahedron in Metallic Glasses",
   Science, 341(2013), 376-379
   https://www.science.org/doi/10.1126/science.1232450

8. (In Japanese) Kaname Matsue and Hisashi Naito,
   "二値の熱伝導率を持つ領域の第一固有値に対する最適配置",
   応用数理 (O-Yo-SuuRi), 23(2013), 154-159
   https://doi.org/10.11540/bjsiam.23.4_154

1. (Report, In Japanese) 松江 要（Kaname Matsue）,
   リエゾン戦略部門：IMIのマネジメント実働部隊
   Division of Strategic Liaison: The force in management of IMI
   IMIニュースレター第32号（2024年2月）
   本文は [こちら]

2.  (Book, In Japanese) 岡本 健太郎 (Kentaro Okamoto), 松江 要 (Kaname Matsue) （著）
   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(JST/CRDS) (編集), 高島 洋典 (編集), 吉脇 理雄 (編集)
   社会に最先端の数学が求められるワケ(1) 〜 新しい数学と産業の協奏
   日本評論社 (2022), ISBN-13 : 978-4535789593

3.