"Takashi Goda,Yoshihito Kazashi,Ken'ichiro Tanaka","How Sharp Are Error Bounds? ?Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions?",,"SIAM Journal on Numerical Analysis",,,,,2024,Oct.
"Tomoya Kamijima,Shun Sato,Kansei Ushiyama,Takayasu Matsuo,Ken'ichiro Tanaka","Analysis of continuous dynamical system models with Hessians derived from optimization methods",,"JSIAM Letters",,,,,2024,May
"Yoshihiro Kogure,Ken'ichiro Tanaka","Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation",,"Journal of Approximation Theory",,,,,2024,Mar.
"Satoshi Hayakawa,Ken'ichiro Tanaka","Convergence analysis of approximation formulas for analytic functions via duality for potential energy minimization",,"Japan Journal of Industrial and Applied Mathematics",,,,,2024,Jan.
"田中健一郎,岡山友昭","変数変換型数値計算法",,"岩波書店",,,,,2023,May
"Tomoki Yamagami,Etsuo Segawa,Ken'ichiro Tanaka,Takatomo Mihana,Andr? R?hm,Ryoichi Horisaki,Makoto Naruse","Skeleton structure inherent in discrete-time quantum walks",,"Physical Review A",,,,,2023,Jan.
"Tomoaki Okayama,Ken'ichiro Tanaka","Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions",,"JSIAM Letters",,"Vol. 15","No. 0","pp. 5-8",2023,Jan.
"Patrick van Meurs,Ken'ichiro Tanaka","Convergence rates for energies of interacting particles whose distribution spreads out as their number increases",,"ESAIM: Control, Optimisation and Calculus of Variations",,"Vol. 29",,"pp. 4",2023,Jan.
"Kazuma Tsuji,Ken'ichiro Tanaka,Sebastian Pokutta","Pairwise Conditional Gradients without Swap Steps and Sparser Kernel Herding",,"The 39th International Conference on Machine Learning (ICML 2022)",,"Vol. 162",,"pp. 21864-21883",2022,July
"高倉  直哉,田中健一郎","指数減衰する関数に対する全周波数領域におけるフーリエ変換の高精度な近似公式",,"日本応用数理学会論文誌",,,,,2022,June
"Ryunosuke  Oshiro,Ken'ichiro Tanaka","Quadratures over graphs via the Frank-Wolfe method and its variant",,"JSIAM Letters",,"Vol. 14","No. 0","pp. 41-44",2022,Apr.
"Tomoaki Okayama,Ken'ichiro Tanaka","Yet another DE-Sinc indefinite integration formula",,"Dolomites Research Notes on Approximation",,,,,2022,
"Satoshi Hayakawa,Ken'ichiro Tanaka","Monte Carlo construction of cubature on Wiener space",,"Japan Journal of Industrial and Applied Mathematics",,,,,2021,Dec.
"中屋 貴博,田中健一郎","二重指数関数型数値積分公式による行列符号関数の数値計算",,"日本応用数理学会論文誌",,,,,2021,Sept.
"高倉 直哉,田中健一郎","減衰度が指定された関数の近似に対する2つの公式の比較",,"日本応用数理学会論文誌",,,,,2021,June
"Yici Chen,Ken'ichiro Tanaka","Maximum likelihood estimation of the Fisher-Bingham distribution via efficient calculation of its normalizing constant",,"Statistics and Computing",,,,,2021,May
"Ken'ichiro Tanaka,Masaaki Sugihara","Construction of Approximation Formulas for Analytic Functions by Mathematical Optimization",,"New Sinc Methods of Numerical Analysis",,,,,2021,
"Ryunosuke  Oshiro,Ken'ichiro Tanaka","Effective methods for obtaining good points for quadrature in reproducing kernel Hilbert spaces",,"JSIAM Letters",,,,,2020,Oct.
"Ken'ichiro Tanaka","Generation of point sets by convex optimization for interpolation in reproducing kernel Hilbert spaces",,"Numerical Algorithms",,"Vol. 84","No. 3","pp. 1049-1079",2020,July
"Toni Karvonen,Simo Sarkka,Ken'ichiro Tanaka","Kernel-based interpolation at approximate Fekete points",,"Numerical Algorithms",,,,,2020,July
"Hiroshi Hirai,Ryunosuke Oshiro,Ken'ichiro Tanaka","Counting Integral Points in Polytopes via Numerical Analysis of Contour Integration",,"Mathematics of Operations Research",,"Vol. 45","No. 2","pp. 455-464",2020,May
"Satoshi Hayakawa,Ken'ichiro Tanaka","Error bounds of potential theoretic numerical integration formulas in weighted Hardy spaces",,"JSIAM Letters",,,,,2020,Apr.
"Shunki Kyoya,Ken'ichiro Tanaka","Construction of conformal maps based on the locations of singularities for improving the double exponential formula",,"IMA Journal of Numerical Analysis",,,,,2019,Nov.
"Shunki Kyoya,Ken'ichiro Tanaka","Improvement of the double exponential formula with conformal maps based on the locations of singularities",,"JSIAM Letters",,"Vol. 11","No. 0","pp. 65-68",2019,Sept.
"Hiroaki Hirano,Ken'ichiro Tanaka","Generation of collocation points in the method of fundamental solutions for 2D Laplace's equation",,"JSIAM Letters",,,,,2019,Aug.
"Ken'ichiro Tanaka,Tomoaki Okayama,Masaaki Sugihara","An optimal approximation formula for functions with singularities",,"Journal of Approximation Theory",,,,,2018,Oct.
"Ken'ichiro Tanaka,Masaaki Sugihara","Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization",,"IMA Journal of Numerical Analysis",,,,,2018,Aug.
"Takashi Ushima,田中健一郎,岡山  友昭,杉原正顕","A function approximation formula using the Ganelius sampling points",,"Transactions of the Japan Society for Industrial and Applied Mathematics",,,,,2017,Mar.
"Ken'ichiro Tanaka,Tomoaki Okayama,Masaaki Sugihara","Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces",,"IMA Journal of Numerical Analysis",,,,"pp. drw022",2016,June
"Ken'ichiro Tanaka","A fast and accurate numerical method for symmetric L?vy processes based on the Fourier transform and sinc-Gauss sampling formula",,"IMA Journal of Numerical Analysis",,"Vol. 36","No. 3","pp. 1362-1388",2015,July
"Sunao Murashige,Ken'ichiro Tanaka","A new method of convergence acceleration of series expansion for analytic functions in the complex domain",,"Japan Journal of Industrial and Applied Mathematics",,"Vol. 32","No. 1","pp. 95-117",2015,Jan.
"Ken'ichiro Tanaka,Alexis Akira Toda","Discretizing Distributions with Exact Moments: Error Estimate and Convergence Analysis",,"SIAM Journal on Numerical Analysis",,"Vol. 53","No. 5","pp. 2158-2177",2015,Jan.
"Ken'ichiro Tanaka","Error control of a numerical formula for the Fourier transform by Ooura’s continuous Euler transform and fractional FFT",,"Journal of Computational and Applied Mathematics",,"Vol. 266",,"pp. 73-86",2014,Aug.
"Ken'ichiro Tanaka,Alexis Akira Toda","Error estimate and convergence analysis of moment-preserving discrete approximations of continuous distributions",,,,,,,2014,
"Ken'ichiro Tanaka,Sunao Murashige","Convergence rates and explicit error bounds of Hill’s method for spectra of self-adjoint differential operators",,"Japan Journal of Industrial and Applied Mathematics",,"Vol. 31","No. 1","pp. 25-56",2013,Sept.
"Ken'ichiro Tanaka","A Sinc Method for an Eigenvalue Problem of a Differential Operator with Periodic Coefficients and Its Comparison with Hill's Method",,"2013 10th International Conference on Information Technology: New Generations",,,,,2013,Apr.
"Ken'ichiro Tanaka,Tomoaki Okayama,Takayasu Matsuo,Masaaki Sugihara","DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods",,"Numerische Mathematik",,"Vol. 125","No. 3","pp. 545-568",2013,Mar.
"Tomoaki Okayama,Ken'ichiro Tanaka,Takayasu Matsuo,Masaaki Sugihara","DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods",,"Numerische Mathematik",,"Vol. 125","No. 3","pp. 511-543",2013,Mar.
"Ken'ichiro Tanaka,Alexis Akira Toda","Discrete approximations of continuous distributions by maximum entropy",,"Economics Letters",,"Vol. 118","No. 3","pp. 445-450",2013,Mar.
"Ken'ichiro Tanaka","A new method for fast computation of cumulative distribution functions by fractional FFT",,"JSIAM Letters",,"Vol. 5","No. 0","pp. 57-60",2013,
"Ken'ichiro Tanaka,Masaaki Sugihara,Kazuo Murota","Function classes for successful DE-Sinc approximations",,"Mathematics of Computation",,"Vol. 78","No. 267","pp. 1553-1571",2009,Sept.
"Ken'ichiro Tanaka,Masaaki Sugihara,Kazuo Murota,Masatake Mori","Function classes for double exponential integration formulas",,"Numerische Mathematik",,"Vol. 111","No. 4","pp. 631-655",2008,Nov.
"Ken'ichiro Tanaka,Masaaki Sugihara,Kazuo Murota","Complex-analytic approach to the sinc-Gauss sampling formula",,"Japan Journal of Industrial and Applied Mathematics",,"Vol. 25","No. 2","pp. 209-231",2008,June
"Yusuke Kobayashi,Kazuo Murota,Ken'ichiro Tanaka","Operations on M‐Convex Functions on Jump Systems",,"SIAM Journal on Discrete Mathematics",,"Vol. 21","No. 1","pp. 107-129",2007,Jan.
"Akiyoshi Shioura,Ken'ichiro Tanaka","Polynomial-Time Algorithms for Linear and Convex Optimization on Jump Systems",,"SIAM Journal on Discrete Mathematics",,"Vol. 21","No. 2","pp. 504-522",2007,Jan.
"田中健一郎,杉原正顕,室田一雄","Error Estimate of a Gaussian Kernel Sampling Formula via Complex Analysis",,"Transactions of the Japan Society for Industrial and Applied Mathematics",,,,,2007,
"Kazuo Murota,Ken'ichiro Tanaka","A Steepest Descent Algorithm for M-Convex Functions on Jump Systems",,"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences",,"Vol. E89-A","No. 5","pp. 1160-1165",2006,May
"Ken'ichiro Tanaka,Masaaki Sugihara,Kazuo Murota","Numerical indefinite integration   by double exponential sinc method",,"Mathematics of Computation",,"Vol. 74","No. 250","pp. 655-680",2004,Nov.
"Ken'ichiro Tanaka,Sunao Murashige,Shin'ichi Oishi","On necessary and sufficient conditions for numerical verification of double turning points",,"Numerische Mathematik",,"Vol. 97","No. 3","pp. 537-554",2004,May