学術論文2020年～現在
Published research papers:2020～

2023年度


P. van Meurs and K. Tanaka. Convergence rates for energies of interacting particles whose distribution spreads out as their number increases. ESAIM: Control, Optimisation and Calculus of Variations, 2023.

S. Tajima, K. Nabeshima, K. Ohara and Y. Umeta. Computing holonomic D-modules associated to a family of non-isolated hypersurface singularities via comprehensive Groebner systems of PBW algebra. Mathematics in Computer Science, 17(1), 2023.

S. Tajima, K. Nabeshima, K. Ohara and Y. Umeta. Computing holonomic D-modules associated to a family of non-isolated hypersurface singularities via comprehensive Groebner systems of PBW algebra. Mathematics in Computer Science, 17(1), 2023.

Guangming Hu and Hideki Miyachi. Estimates of the Bergman kernel on Teichmüller space HTML articles powered by AMS MathViewer. Proc. Amer. Math. Soc., 151, 2895-2905, 2023.

Atsuhira Nagano and Hironori Shiga. On Kummer-like surfaces attached to singularity and modular forms. Mathematische Nachrichten, 296(6), 2513-2534, 2023.　

Jiro Akahori, Flavia Barsotti and Yuri Imamura. Hedging error as generalized timing risk. Quantitative Finance, 2023.　

Atsuhira Nagano. On Riemann type relations for theta functions on bounded symmetric domains of type I. Linear Algebra and its Applications, 673, 177-199, 2023.

Takehiro Hasegawa, Takashi Komatsu, Norio Konno, Hayato Saigo, Seiken Saito, Iwao Sato and Shingo Sugiyama. The limit theorem with respect to the matrices on non-backtracking paths of a graph. Annals of Combinatorics, 27, 249, 2023.

M.M. Rasid, M. Kimura, M.M. Murshed, E.R. Wijayanti and H. Notsu. A two-step Lagrange-Galerkin scheme for the shallow water equations with a transmission boundary condition and its application to the Bay of Bengal region—Part I: Flat bottom topography. Mathematics, 11, 1633, 2023.

Jiro Akahori, Jie Yen Fan and Yuri Imamura. On the convergence order of a binary tree approximation of symmetrized diffusion processes.　 Mathematics and Computers in Simulation, 2023.　

Masaharu Nagayama, Harunori Monobe, Koya Sakakibara, Ken-Ichi Nakamura, Yasuaki Kobayashi and Hiroyuki Kitahata. On the reaction–diffusion type modelling of the self-propelled object motion. Scientific Reports, 13(1), 2023.






2022年度


K. Futai, N. Kolbe, H. Notsu and T. Suzuki. A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems. Journal of Scientific Computing, 92(2), 37, 2022.

Tomonao Matsumura and Atsuhira Nagano. Elliptic fibrations on toric K3 hypersurfaces and mirror symmetry derived from Fano polytopes. arXiv:2208.01465, 2022.

H. Imamura, M. Kosuda and M. Oura. Note on the permutation group associated to E-polynomials. Journal of Algebra Combinatorics Discrete Structures and Applications, 9, 1-6, 2022.

P. van Meurs, M. A. Peletier and N. Pozar. Discrete-to-continuum convergence of charged particles in 1D with annihilation. Archive for Rational Mechanics and Analysis, 1-51, 2022.

Shingo Sugiyama and Masao Tsuzuki. Quantitative non-vanishing of central values of certain L-functions on GL(2) × GL(3). Mathematische Zeitschrift, 301(2), 1447, 2022.　

T. G. de Jong and P. van Meurs. Uniqueness of local, analytic solutions to singular ODEs. Acta Applicandae Mathematicae, 1-13, 2022.

Shingo Sugiyama and Ade Irma Suriajaya. Weighted one-level density of low-lying zeros of Dirichlet L-functions. Research in Number Theory, 8, 2022.

Koya Sakakibara, Yusaku Shimoji and Shigetoshi Yazaki. A simple numerical method for Hele–Shaw type problems by the method of fundamental solutions. Japan Journal of Industrial and Applied Mathematics, 39(3), 869, 2022.

P. van Meurs. Boundary-layer analysis of repelling particles pushed to an impenetrable barrier. SIAM Journal on Mathematical Analysis, 54(2), 1742-1774, 2022.

J.S.H. Simon and H. Notsu. A shape design problem for the Navier-Stokes flow with a convective boundary condition. Computational and Applied Mathematics, 41, 167, 2022.

Yuanqing Cai. Twisted doubling integrals for Brylinski-Deligne extensions of classical groups. J. Inst. Math. Jussieu, 2022.

J.S.H. Simon and H. Notsu. A shape optimization problem constrained with the Stokes equations to address maximization of vortices. Evolution Equations and Control Theory, 2022.

Mahardhika Maulana Alifan, Masato Kimura and Sayahdin Alfat. Numerical crack path selection problem based on energy profiles. Japan Journal of Industrial and Applied Mathematics, 39, 817-841, 2022.

M. Kimura. Phase Field Models for Thermal Fracturing and Their Variational Structures. Materials, 15(7), 2571, 2022.

Yosuke Sunayama, Masato Kimura and Julius Fergy T. Rabago. Comoving mesh method for certain classes of moving boundary problems. Japan Journal of Industrial and Applied Mathematics, 39(3), 973-1001, 2022.

Yuanqing Cai, Solomon Friedberg, Dmitry Gourevitch and Eyal Kaplan. The generalized doubling method: $(k,c)$ models. Proc. Amer. Math. Soc., 2022.　

Atsuhira Nagano and Hironori Shiga. Geometric interpretation of Hermitian modular forms via Burkhardt invariants. Transformation Groups, 2022.

Atsuhira Nagano and Kazushi Ueda. The ring of modular forms of O(2,4;Z) with characters. Hokkaido Mathematical Journal, 51(2), 275-286, 2022.

Yuanqing Cai, Solomon Friedberg and Eyal Kaplan. The generalized doubling method: local theory. Geom. Funct. Anal., 2022.

Atsuhira Nagano and Kazushi Ueda. The ring of modular forms for the even unimodular lattice of signature (2,18). Hiroshima Mathematical Journal, 52, 43-51, 2022.

Miyu Suzuki, Satoshi Wakatsuki and Shun’ichi Yokoyama. Distribution of toric periods of modular forms on definite quaternion algebras. Research in Number Theory, 8, 90, 2022.

Hideki Miyachi, Ken’ichi Ohshika and Athanase Papadopoulos. Tangent spaces of the Teichmüller space of the torus with Thurston's weak metric. Université de Strasbourg et CNRS, Institut de Recherche Mathématique Avancée, 47(1), 2022.

Hiroshi Matano, Yoichiro Mori, Mitsunori Nara and Koya Sakakibara. Asymptotic behavior of fronts and pulses of the bidomain model. SIAM Journal on Applied Dynamical Systems, 21(1), 616, 2022.

Pablo Ramacher and Satoshi Wakatsuki. Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients. Advances in Mathematics, 404, 108372, 2022.

Hirotaka Imamura, Masashi Kosuda and Manabu Oura. Note on the permutation group associated to E-polynomials. Year 2022, 9(1), 1-7, 2022.

Henry H. Kim, Masao Tsuzuki and Satoshi Wakatsuki. The Shintani double zeta functions. Forum Mathematicum, 34(2), 469, 2022.

杉山真吾, 横山俊一 （共著）. 社会に最先端の数学が求められるワケ(2). 日本評論社, 2022.






2021年度


Yuri Imamura. Carr–Nadtochiy’s weak reflection principle for Markov chains on Zd. Japan Journal of Industrial and Applied Mathematics, 38, 257–267, 2021.

Hajime Nagoya. On q-Isomonodromic Deformations and q-Nekrasov Functions. Symmetry, Integrability and Geometry: Methods and Applications SIGMA, 2021.

J.S.H. Simon and H. Notsu. A convective boundary condition for the Navier-Stokes equations. Applied Mathematics Letters, 128, 107876, 2021.

Yuanqing Cai. Twisted doubling integrals for classical groups. Math. Z., 297, 1075-1104, 2021.

M.M. Murshed, K. Futai, M. Kimura and H. Notsu. Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition. Discrete & Continuous Dynamical Systems - S, 14(3), 1063-1078, 2021.

I. Wijaya and H. Notsu. Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media. Discrete & Continuous Dynamical Systems - S, 14(3), 1197-1212, 2021.

J. Akahori, C. Constantinescu, Y. Imamura and H. H. Pham. An application of risk theory to mortgage lending. Scandinavian Actuarial Journal, 2022(5), 1-23, 2021.

I. Kim, D. Kwon and N. Pozar. On volume-preserving crystalline mean curvature flow. Mathematische Annalen, 32, 2021.

Yuya Matsuhira and Hajime Nagoya. Connection Problem for the Generalized Hypergeometric Function. Classical Analysis and ODEs (math.CA), 64(3), 323-348, 2021.

K. Wada. Effect of small heat release and viscosity on thermal-diffusive instability. Scientific Reports, 11, 1, 2021.

K. Wada. Lambert W function for effect of gas compression on premixed flames with ignition temperature approximation. Combustion Theory and Modelling, 25(3), 542, 2021.

Keigo Wada and Yasuhide Fukumoto. Compressibility Effect on Markstein Number for a Flame Front in Long-Wavelength Approximation 2019-20. MATRIX Annals (MATRIX Book Series 4), 329, 2021.

Koya Sakakibara and Yuto Miyatake. A fully discrete curve-shortening polygonal evolution law for moving boundary problems. Journal of Computational Physics, 424, 2021.

K. Goto, K. Nakajima and H. Notsu. Twin vortex computer in fluid flow. New Journal of Physics, 23, 063051, 2021.

Masato Kimura and Matteo Negri. Weak solutions for unidirectional gradient flows: existence, uniqueness, and convergence of time discretization schemes. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 28(6), 2021.

V. Cortés, K. and Hasegawa. The quaternionic/hypercomplex-correspondence.　 Osaka J. Math., 58(1), 213-238, 2021.

D.D. Medeiros, H. Notsu and C.M. Oishi. Second-order finite difference approximations of the upper-convected time derivative. SIAM Journal on Numerical Analysis, 59(6), 2955-2988, 2021.　

Pu-Zhao Kow and Masato Kimura. The lewy-stampacchia inequality for the fractional Laplacian and its application to anomalous unidirectional diffusion equations. Discrete & Continuous Dynamical Systems - B, 2021.

Atsuhira Nagano. Sequence of families of lattice polarized K3 surfaces, modular forms and degrees of complex reflection groups. arXiv:2108.08168, 2021.

Pablo Ramacher and Satoshi Wakatsuki. Subconvex bounds for Hecke–Maass forms on compact arithmetic quotients of semisimple Lie groups. Mathematische Zeitschrift, 298, 1383, 2021.

Masato Kimura, Takeshi Takaishi, Sayahdin Alfat, Takumi Nakano and Yoshimi Tanaka. Irreversible phase field models for crack growth in industrial applications: thermal stress, viscoelasticity, hydrogen embrittlement. SN APPLIED SCIENCES, 3(9), 2021.

M. Kimura, P. van Meurs and Z. X. Yang. Particle Dynamics with Elastic Collision at the Boundary: Existence and Partial Uniqueness of Solutions. Acta Applicandae Mathematicae, 174(1), 2021.　

M. Kimura and P. van Meurs. Quantitative estimate of the continuum approximations of interacting particle systems in one dimension. SIAM Journal on Mathematical Analysis, 53(1), 681-709, 2021.

P. Cesana and P. van Meurs. Discrete-to-continuum limits of planar disclinations. ESAIM: Control, Optimisation and Calculus of Variations, 27, 1-24, 2021.

M. Kimura and P. van Meurs. Quantitative Estimate of the Continuum Approximations of Interacting Particle Systems in One Dimension. SIAM J. Math. Anal., 53(1), 681, 2021.

M. Kimura, P. van Meurs and Z.X. Yang. Particle dynamics with elastic collision at the boundary: existence and partial uniqueness of solutions. Acta Applicandae Mathematicae,　1-26, 2021.

Guangming Hu, Hideki Miyachi and Yi Qi. Universal commensurability augmented Teichmüller space and moduli space. Mathematics, Annales Fennici Mathematici, 46(2), 2021.

Atsuhira Nagano. Inverse period mappings of K3 surfaces and a construction of modular forms for a lattice with the Kneser conditions. Journal of Algebra, 565, 33-63, 2021.　

Md. Masum Murshed, Kouta Futai, Masato Kimura and Hirofumi Notsu. Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition. Discrete & Continuous Dynamical Systems - S, 14(3), 1063-1078, 2021.

P. van Meurs. Expansions for the linear-elastic contribution to the self-interaction force of dislocation curves. European Journal of Applied Mathematics, 1-30, 2021.






2020年度


M. Kimura and P. van Meurs. Regularity of the minimiser of one-dimensional interaction energies. ESAIM: Control, Optimisation and Calculus of Variations, 26, 27, 2020.

Hideki Miyachi. Home In the Tradition of Thurston Chapter. Teichmüller Theory, Thurston Theory, Extremal Length Geometry and Complex Analysis, 8, 497-526, 2020.

K. Sakakibara. Bidirectional numerical conformal mapping based on the dipole simulation method. Engineering Analysis with Boundary Elements, 114, 45, 2020.

Shingo Sugiyama and Masao Tsuzuki. Optimal estimates for an average of Hurwitz class numbers. The Ramanujan Journal, 52, 91, 2020.　

M. Kimura and Atsushi Suzuki. Deformation Problem for Glued Elastic Bodies and an Alternative Iteration Method　CoMFoS 2018: Mathematical Analysis of Continuum Mechanics and Industrial Applications III. Mathematics for Industry, Springer, 34(81), 2020.　

Henry H. Kim, Satoshi Wakatsuki and Takuya Yamauchi. Equidistribution theorems for holomorphic Siegel modular forms for $$GSp_4$$; Hecke fields and n-level density. Mathematische Zeitschrift, 295(3-4), 917, 2020.

Nur Hamid, Masashi Kosuda and Manabu Oura. Certain subrings in classical invariant theory. Toyama Mathematical Journal, 41, 33-44, 2020.

K. Ohara and S. Tajima. An algorithm for computing Grothendieck local residues II: general case. Mathematics in Computer Science, 14, 483--496, 2020.　

Yoshikazu Giga, Koya Sakakibara, Kazutoshi Taguchi and Masaaki Uesaka. A new numerical scheme for discrete constrained total variation flows and its convergence. Numerische Mathematik, 146(1), 181, 2020.

Henry H. Kim, Satoshi Wakatsuki and Takuya Yamauchi. Equidistribution theorems for holomorphic Siegel modular forms for $$GSp_4$$; Hecke fields and n-level density. Mathematische Zeitschrift, 295(3-4), 917-943, 2020.

Henry H. Kim, Satoshi Wakatsuki and Takuya Yamauchi. An equidistribution theorem for holomorphic Siegel modular forms for GSp_4. Journal of the Institute of Mathematics of Jussieu, 19(2), 351, 2020.

Yuanqing Cai. On the crystal graph description of the stable Weyl group multiple Dirichlet series. J. Number Theory, 215, 186-215, 2020.　

Tsuyoshi Miezaki and Manabu Oura. On Eisenstein polynomials and zeta polynomials II. International Journal of Number Theory, 1(1), 207-218, 2020.

J. Kaneko, K. Matsumoto and K. Ohara. The structure of a local system associated with a hypergeometric system of rank 9. International Journal of Mathematics, 31(3), 2050021, 2020.

K. Ohara and S. Tajima. An algorithm for computing Grothendieck local residues II: general case. Mathematics in Computer Science, 14, 483--496, 2020.　

Yuanqing Cai. Unramified Whittaker functions for certain Brylinski-Deligne covering groups. Forum Math., 32, 207-233, 2020.

Yu Kawakami. Value distribution for the Gauss maps of various classes of surfaces.　 Sugaku Expositions, 33(2), 223-237, 2020.　

K. Sakakibara. Numerical analysis of constrained total variation flows. The Role of Metrics in the Theory of Partial Differential Equations, 85, 349, 2020.

P. van Meurs. The continuum limit of interacting dislocations on multiple slip systems. ESAIM: Control, Optimisation and Calculus of Variations,　26, 1-26, 2020.

J. Kaneko, K. Matsumoto and K. Ohara. The structure of a local system associated with a hypergeometric system of rank 9. International Journal of Mathematics, 31(3), 2050021, 2020.

Kei Hirose, Keigo Wada, Maiya Hori and Rin-ichiro Taniguchi. Event Effects Estimation on Electricity Demand Forecasting. Energies, 13(21), 5839, 2020.　

Hiroshi Ohtsuka. On the derivation of the mean field equation of the Gibbs distribution function for equilibrium vortices in an external field. RIMS Kôkyûroku Bessatsu B82, 67-85, 2020.

A. Garroni, P. van Meurs, M. A. Peletier and L. Scardia. Convergence and non-convergence of many-particle evolutions with multiple signs. 　 Archive for Rational Mechanics and Analysis, 3-49, 2020.

Henry H. Kim, Satoshi Wakatsuki and Takuya Yamauchi. Equidistribution theorems for holomorphic Siegel modular forms for GSp4 ; Hecke fields and n-level density. Mathematische Zeitschrift, 295, 917–943, 2020.

Hyungrok Jo, Shingo Sugiyama and Yoshinori Yamasaki. Ramanujan Graphs for Post-Quantum Cryptography International Symposium on Mathematics, Quantum Theory, and Cryptography, eds. T. Takagi et al. Mathematics for Industry, 33, 231, 2020.

Tsuyoshi Miezaki and Manabu Oura. Research PaperNo Access On Eisenstein polynomials and zeta polynomials II. International Journal of Number Theory, 16(1), 207-218, 2020.

M. Kimura and P. van Meurs. Regularity of the minimiser of one-dimensional interaction energies. ESAIM: Control, Optimisation and Calculus of Variations, 1-43, 2020.

T. Hudson, P. van Meurs and M. A. Peletier. Atomistic origins of continuum dislocation dynamics. Mathematical Models and Methods in Applied Sciences, 30(13), 2557-2618, 2020.

Yoshikazu Giga and Norbert Pozar. Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. SN Partial Differential Equations and Applications, 1(39), 1-26, 2020.






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金沢大学 / 理工研究域 / 数物科学類 / 数学発展プログラム，応用数理プログラム

Last update: 1, Oct., 2023
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