Yoshihito Kazashi

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All published works

Action	Title	Year	Authors
+ PDF Chat	How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–	2024	Takashi Goda Yoshihito Kazashi Ken’ichiro Tanaka
+ PDF Chat	$L_2$-approximation using randomized lattice algorithms	2024	Mao-cheng Cai Takashi Goda Yoshihito Kazashi
+ PDF Chat	Multigrid Monte Carlo Revisited: Theory and Bayesian Inference	2024	Yoshihito Kazashi Eike H. Müller Robert Scheichl
+	Dynamical low-rank approximation for stochastic differential equations	2024	Yoshihito Kazashi Fabio Nobile Fabio Zoccolan
+	How sharp are error bounds? --lower bounds on quadrature worst-case errors for analytic functions	2024	Takashi Goda Yoshihito Kazashi Ken’ichiro Tanaka
+ PDF Chat	Randomizing the trapezoidal rule gives the optimal RMSE rate in Gaussian Sobolev spaces	2023	Takashi Goda Yoshihito Kazashi Yuya Suzuki
+ PDF Chat	Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness	2023	Yoshihito Kazashi Yuya Suzuki Takashi Goda
+ PDF Chat	Density Estimation in RKHS with Application to Korobov Spaces in High Dimensions	2023	Yoshihito Kazashi Fabio Nobile
+	Dynamically Orthogonal Approximation for Stochastic Differential Equations	2023	Yoshihito Kazashi Fabio Nobile Fabio Zoccolan
+	Sub-optimality of Gauss--Hermite quadrature and optimality of the trapezoidal rule for functions with finite smoothness	2022	Yoshihito Kazashi Yuya Suzuki Takashi Goda
+	Randomizing the trapezoidal rule gives the optimal RMSE rate in Gaussian Sobolev spaces	2022	Takashi Goda Yoshihito Kazashi Yuya Suzuki
+ PDF Chat	Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification	2021	Vesa Kaarnioja Yoshihito Kazashi Frances Y. Kuo Fabio Nobile Ian H. Sloan
+ PDF Chat	Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	2021	Yoshihito Kazashi Fabio Nobile Eva Vidličková
+	Density estimation in RKHS with application to Korobov spaces in high dimensions	2021	Yoshihito Kazashi Fabio Nobile
+	Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification	2020	Vesa Kaarnioja Yoshihito Kazashi Frances Y. Kuo Fabio Nobile Ian H. Sloan
+	Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	2020	Yoshihito Kazashi Fabio Nobile Eva Vidličková
+	Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval	2020	Yoshihito Kazashi Fabio Nobile
+	MATHICSE Technical Report: Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval	2020	Yoshihito Kazashi Fabio Nobile MATHICSE-Group
+ PDF Chat	Worst-Case Error for Unshifted Lattice Rules Without Randomisation	2020	Yoshihito Kazashi Ian H. Sloan
+	Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval	2020	Yoshihito Kazashi Fabio Nobile
+ PDF Chat	Derandomised lattice rules for high dimensional integration	2019	Yoshihito Kazashi Frances Y. Kuo Ian H. Sloan
+	Derandomised lattice rules for high dimensional integration.	2019	Yoshihito Kazashi Frances Y. Kuo Ian H. Sloan
+	Derandomised lattice rules for high dimensional integration	2019	Yoshihito Kazashi Frances Y. Kuo Ian H. Sloan
+	A non-uniform discretization of stochastic heat equations with multiplicative noise on the unit sphere	2018	Yoshihito Kazashi Quôc Thông Lê Gia
+ PDF Chat	Quasi–Monte Carlo integration with product weights for elliptic PDEs with log-normal coefficients	2018	Yoshihito Kazashi
+	Discrete maximal regularity of an implicit Euler--Maruyama scheme with non-uniform time discretisation for a class of stochastic partial differential equations	2018	Yoshihito Kazashi
+	Discrete maximal regularity of an implicit Euler–Maruyama scheme with non-uniform time discretisation for a class of stochastic partial differential equations	2018	Yoshihito Kazashi
+	Worst-case error for unshifted lattice rules without randomisation	2018	Yoshihito Kazashi Frances Y. Kuo Ian H. Sloan
+	Discrete maximal regularity of an implicit Euler--Maruyama scheme with non-uniform time discretisation for a class of stochastic partial differential equations	2018	Yoshihito Kazashi
+ PDF Chat	A fully discretised filtered polynomial approximation on spherical shells	2017	Yoshihito Kazashi
+	A non-uniform discretization of stochastic heat equations with multiplicative noise on the unit sphere	2017	Yoshihito Kazashi Quôc Thông Lê Gia
+	Quasi-Monte Carlo integration with product weights for elliptic PDEs with log-normal coefficients	2017	Yoshihito Kazashi
+	A non-uniform discretization of stochastic heat equations with multiplicative noise on the unit sphere	2017	Yoshihito Kazashi Quôc Thông Lê Gia
+	Quasi-Monte Carlo integration with product weights for elliptic PDEs with log-normal coefficients	2017	Yoshihito Kazashi

Common Coauthors

Coauthor	Papers Together
Fabio Nobile	11
Takashi Goda	7
Ian H. Sloan	7
Frances Y. Kuo	6
Yuya Suzuki	3
Quôc Thông Lê Gia	3
Vesa Kaarnioja	2
Fabio Zoccolan	2
Ken’ichiro Tanaka	2
Eva Vidličková	2
Eike H. Müller	1
Robert Scheichl	1
MATHICSE-Group	1
Mao-cheng Cai	1
Yuya Suzuki	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Lattice Methods for Multiple Integration	1994	Ian H. Sloan Stephen Joe	6
+	High-dimensional integration: The quasi-Monte Carlo way	2013	Josef Dick Frances Y. Kuo Ian H. Sloan	6
+ PDF Chat	Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values	2016	Emil Kieri Christian Lubich Hanna Walach	4
+ PDF Chat	A projector-splitting integrator for dynamical low-rank approximation	2013	Christian Lubich Ivan Oseledets	4
+	A First Course in Sobolev Spaces	2017	Giovanni Leoni	4
+ PDF Chat	An implicit Euler scheme with non-uniform time discretization for heat equations with multiplicative noise	2007	Thomas Müller-Gronbach Klaus Ritter	4
+ PDF Chat	Dynamical Low‐Rank Approximation	2007	Othmar Koch Christian Lubich	4
+	Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients	2014	Ivan G. Graham Frances Y. Kuo James Nichols Robert Scheichl Ch. Schwab Ian H. Sloan	4
+	Stochastic Equations in Infinite Dimensions	2014	Giuseppe Da Prato Jerzy Zabczyk	4
+	Existence of dynamical low-rank approximations to parabolic problems	2020	Markus Bachmayr Henrik Eisenmann Emil Kieri André Uschmajew	4
+ PDF Chat	Lower Bounds and Nonuniform Time Discretization for Approximation of Stochastic Heat Equations	2006	Thomas Müller-Gronbach Klaus Ritter	4
+	From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical Analysis	2008	Christian Lubich	4
+	Linear Information	2008	Erich Novak Henryk Woźniakowski	3
+	Quasi--Monte Carlo Integration for Affine-Parametric, Elliptic PDEs: Local Supports and Product Weights	2018	Robert N. Gantner Lukas Herrmann Christoph Schwab	3
+ PDF Chat	Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters	2020	Ronald Cools Frances Y. Kuo Dirk Nuyens Ian H. Sloan	3
+	When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?	1998	Ian H. Sloan Henryk Woźniakowski	3
+	Error Analysis of Splines for Periodic Problems Using Lattice Designs	2006	Xiaoyan Zeng K. T. Leung Fred J. Hickernell	3
+	Spline Methods Using Integration Lattices and Digital Nets	2009	Xiaoyan Zeng Peter Kritzer Fred J. Hickernell	3
+ PDF Chat	Lattice rules for nonperiodic smooth integrands	2013	Josef Dick Dirk Nuyens Friedrich Pillichshammer	3
+	Optimality of the double exponential formula - functional analysis approach -	1997	Masaaki Sugihara	3
+ PDF Chat	A Geometric Approach to Dynamical Model Order Reduction	2018	Florian Feppon Pierre F. J. Lermusiaux	3
+	Dynamics of Evolutionary Equations	2002	George R. Sell Yuncheng You	3
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	3
+	Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights	2020	Ronald Cools Frances Y. Kuo Dirk Nuyens Ian H. Sloan	3
+ PDF Chat	Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients	2012	Frances Y. Kuo Christoph Schwab Ian H. Sloan	3
+ PDF Chat	Quasi–Monte Carlo integration with product weights for elliptic PDEs with log-normal coefficients	2018	Yoshihito Kazashi	3
+ PDF Chat	On the Optimal Order of Integration in Hermite Spaces with Finite Smoothness	2018	Josef Dick Christian Irrgeher Gunther Leobacher Friedrich Pillichshammer	3
+ PDF Chat	The Exponentially Convergent Trapezoidal Rule	2014	Lloyd N. Trefethen J. A. C. Weideman	3
+	The FEniCS Project Version 1.5	2015	Martin Sandve Alnæs Jan Blechta Johan Hake August Johansson Benjamin Kehlet Anders Logg Chris Richardson Johannes Ring Marie E. Rognes Garth N. Wells	2
+	Discrete maximal regularity for abstract Cauchy problems	2016	Tomoya Kemmochi	2
+	The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations	2003	Dongbin Xiu George Em Karniadakis	2
+	Stochastic Analysis on Manifolds	2002	Elton P. Hsu	2
+	Lectures on optimal recovery	1985	Charles A. Micchelli T. J. Rivlin	2
+	Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory	1995	Herbert Amann	2
+ PDF Chat	Dynamical Tensor Approximation	2010	Othmar Koch Christian Lubich	2
+ PDF Chat	On Square Integrable Martingales	1967	Hiroshi Kunita Shinzo Watanabe	2
+	A Survey of Optimal Recovery	1977	Charles A. Micchelli T. J. Rivlin	2
+ PDF Chat	Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise	2012	Raphael Kruse Stig Larsson	2
+ PDF Chat	Linear-implicit strong schemes for Itô-Galkerin approximations of stochastic PDE<scp>s</scp>	1999	Peter E. Kloeden S. Shott	2
+	Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations	2017	Michael Griebel Christian Rieger	2
+	Stochastic maximal Lp-regularity	2012	Jan van Neerven Mark Veraar Lutz Weis	2
+	Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors	2013	Christian Lubich Thorsten Rohwedder Reinhold Schneider Bart Vandereycken	2
+	Lattice rule algorithms for multivariate approximation in the average case setting	2007	Frances Y. Kuo Ian H. Sloan Henryk Woźniakowski	2
+ PDF Chat	Convergence Properties of Gaussian Quadrature Formulae	1961	W. Barrett	2
+	Low-Rank Matrix Completion by Riemannian Optimization	2013	Bart Vandereycken	2
+	On the Power of Adaption	1996	Erich Novak	2
+ PDF Chat	A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data	2010	Ivo Babuška Fabio Nobile Raúl Tempone	2
+ PDF Chat	Maximal $L^p$-Regularity for Stochastic Evolution Equations	2012	Jan van Neerven Mark Veraar Lutz Weis	2
+	Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications	2011	Domenico Marinucci Giovanni Peccati	2
+	Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces	2006	Dirk Nuyens Ronald Cools	2