標題: Titlebook: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan; Josef Dick,Frances Y. Kuo,Henryk Wo?niakowski Bo [打印本頁] 作者: 惡夢 時間: 2025-3-21 19:36
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作者: Aphorism 時間: 2025-3-21 21:21
https://doi.org/10.1007/978-3-663-19796-6 consider transforming the integrand to have a more QMC-friendly singularity along the boundary of the square. This then leads to error rates of .(..) when combined with some corner-avoiding Halton points or with randomized QMC but it requires some stronger assumptions on the original singular integ作者: 箴言 時間: 2025-3-22 03:19
Gerd Steierwald,Jürgen Goldbachion of a truncated power function . (which assumes 0 if .?≤?0 and is the power . if .?>?0) that reduces to ., ., and . if .?>?0. These types of trial functions have as support the whole sphere, a spherical cap centered at ., a bi-cap centered at the antipodes ., ?., or an equatorial belt. We give in作者: 系列 時間: 2025-3-22 05:10 作者: conceal 時間: 2025-3-22 11:24 作者: Devastate 時間: 2025-3-22 14:41
https://doi.org/10.1007/978-3-663-20265-3oposed iteration, that the resulting accuracy of {..} will depend on the form and smoothness of ., the size of the interval truncation, and the level of discretization of the measurements {..}. Excellent accuracy for {..} is obtained when {..} and {..} accurately approximate the essential structure 作者: Devastate 時間: 2025-3-22 19:06
,Auswahl der Ger?te zur Teppichreinigung,tain input data. In particular, we show that locally supported basis functions allow for multilevel QMC quadrature with product weights, and prove new error vs. work estimates superior to those in these references (albeit at stronger, mixed regularity assumptions on the parametric integrand function作者: 最低點 時間: 2025-3-23 00:04 作者: CAMEO 時間: 2025-3-23 04:34
Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan978-3-319-72456-0作者: modish 時間: 2025-3-23 07:45
Quasi-Monte Carlo for an Integrand with a Singularity Along a Diagonal in the Square, consider transforming the integrand to have a more QMC-friendly singularity along the boundary of the square. This then leads to error rates of .(..) when combined with some corner-avoiding Halton points or with randomized QMC but it requires some stronger assumptions on the original singular integ作者: 連累 時間: 2025-3-23 13:38
Explicit Families of Functions on the Sphere with Exactly Known Sobolev Space Smoothness,ion of a truncated power function . (which assumes 0 if .?≤?0 and is the power . if .?>?0) that reduces to ., ., and . if .?>?0. These types of trial functions have as support the whole sphere, a spherical cap centered at ., a bi-cap centered at the antipodes ., ?., or an equatorial belt. We give in作者: Benign 時間: 2025-3-23 16:05
Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere: The Exceptional Case,oblem are confined to this support. For .???2?≤?.?., we show that for point sources on the sphere, the equilibrium measure has support in the complement of the union of specified spherical caps about the sources. Numerical examples are provided to illustrate our results.作者: 過度 時間: 2025-3-23 20:34 作者: Gum-Disease 時間: 2025-3-24 00:37 作者: Range-Of-Motion 時間: 2025-3-24 04:16
Multilevel QMC with Product Weights for Affine-Parametric, Elliptic PDEs,tain input data. In particular, we show that locally supported basis functions allow for multilevel QMC quadrature with product weights, and prove new error vs. work estimates superior to those in these references (albeit at stronger, mixed regularity assumptions on the parametric integrand function作者: 的是兄弟 時間: 2025-3-24 07:54
Book 2018nd friend, who has been an inspiration to many of us. The reader may especially enjoy thestory from the perspective of his family, his wife, his daughter and son, as well as grandchildren, who share their views of Ian. The clear message of the book is that Ian H. Sloan has been a role model in scien作者: 令人心醉 時間: 2025-3-24 14:02 作者: folliculitis 時間: 2025-3-24 17:50 作者: 假裝是我 時間: 2025-3-24 21:40
,Die Stellung der Websch?fte zur Kette,non-standard integro-differential equations type that arise as mathematical models in applications. We shall see that in addition to numerous open problems in the numerical analysis of such equations, many challenges in the computational solution of non-standard Volterra and Fredholm integro-differential equations are waiting to be addressed.作者: 正式演說 時間: 2025-3-25 00:23 作者: 持久 時間: 2025-3-25 05:54
https://doi.org/10.1007/978-3-663-20267-7oints according to a smooth homotopy function and the accuracy is superior to other EFMs. The basic algorithm is presented in the absence of stationary points but we extend it to cater for highly oscillatory integrals with stationary points. The presentation is accompanied by numerical experiments which demonstrate the power of our approach.作者: lobster 時間: 2025-3-25 10:51 作者: 鞭打 時間: 2025-3-25 12:41 作者: 合乎習俗 時間: 2025-3-25 17:55
Numerical Analysis and Computational Solution of Integro-Differential Equations,non-standard integro-differential equations type that arise as mathematical models in applications. We shall see that in addition to numerous open problems in the numerical analysis of such equations, many challenges in the computational solution of non-standard Volterra and Fredholm integro-differential equations are waiting to be addressed.作者: 假設(shè) 時間: 2025-3-25 22:22 作者: MAL 時間: 2025-3-26 02:31
An Adaptive Filon Algorithm for Highly Oscillatory Integrals,oints according to a smooth homotopy function and the accuracy is superior to other EFMs. The basic algorithm is presented in the absence of stationary points but we extend it to cater for highly oscillatory integrals with stationary points. The presentation is accompanied by numerical experiments which demonstrate the power of our approach.作者: 痛恨 時間: 2025-3-26 04:40 作者: keloid 時間: 2025-3-26 09:20 作者: ureter 時間: 2025-3-26 13:43 作者: Mere僅僅 時間: 2025-3-26 18:25
On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics,en problems, and in particular explain the recently established connection between the distribution of pair correlations of sequences on the torus and certain concepts from additive combinatorics. Furthermore, we slightly improve a result recently given by Jean Bourgain in Aistleitner et al. (Isr. J. Math., to appear. Available at .).作者: 基因組 時間: 2025-3-26 21:55 作者: 美色花錢 時間: 2025-3-27 05:07 作者: 不要不誠實 時間: 2025-3-27 07:17 作者: 我吃花盤旋 時間: 2025-3-27 11:54 作者: Entrancing 時間: 2025-3-27 16:11 作者: 舉止粗野的人 時間: 2025-3-27 20:40 作者: 發(fā)出眩目光芒 時間: 2025-3-28 00:17
,Einführung in den Problemkreis,We prove that there is no strongly regular graph (SRG) with parameters (460, 153, 32, 60). The proof is based on a recent lower bound on the number of 4-cliques in a SRG and some applications of Euclidean representation of SRGs.作者: 草率女 時間: 2025-3-28 02:38
Gerd Steierwald,Jürgen GoldbachWe produce low-discrepancy infinite sequences which can be used to approximate the integral of a smooth periodic function restricted to a smooth convex domain with positive curvature in .. The proof depends on simultaneous Diophantine approximation and on appropriate estimates of the decay of the Fourier transform of characteristic functions.作者: 配置 時間: 2025-3-28 06:40
,Optimale überwachung in der Praxis,Using recent results on subperiodic trigonometric Gaussian quadrature and the construction of subperiodic trigonometric orthogonal bases, we extend Sloan’s notion of hyperinterpolation to trigonometric spaces on subintervals of the period. The result is relevant, for example, to function approximation on spherical or toroidal rectangles.作者: Asparagus 時間: 2025-3-28 11:02
There Is No Strongly Regular Graph with Parameters (460, 153, 32, 60),We prove that there is no strongly regular graph (SRG) with parameters (460, 153, 32, 60). The proof is based on a recent lower bound on the number of 4-cliques in a SRG and some applications of Euclidean representation of SRGs.作者: Nonthreatening 時間: 2025-3-28 14:48
Low-Discrepancy Sequences for Piecewise Smooth Functions on the Torus,We produce low-discrepancy infinite sequences which can be used to approximate the integral of a smooth periodic function restricted to a smooth convex domain with positive curvature in .. The proof depends on simultaneous Diophantine approximation and on appropriate estimates of the decay of the Fourier transform of characteristic functions.作者: 激怒 時間: 2025-3-28 20:00
Subperiodic Trigonometric Hyperinterpolation,Using recent results on subperiodic trigonometric Gaussian quadrature and the construction of subperiodic trigonometric orthogonal bases, we extend Sloan’s notion of hyperinterpolation to trigonometric spaces on subintervals of the period. The result is relevant, for example, to function approximation on spherical or toroidal rectangles.作者: ANIM 時間: 2025-3-28 23:14 作者: Asparagus 時間: 2025-3-29 03:03 作者: Perceive 時間: 2025-3-29 07:30
978-3-030-10203-6Springer International Publishing AG, part of Springer Nature 2018作者: inspiration 時間: 2025-3-29 14:04 作者: BALK 時間: 2025-3-29 16:26
Walter Storkebaum,Herbert Witzelo develop techniques that enable one to efficiently tackle the integral fractional Laplacian. In particular, we develop techniques for the treatment of the dense stiffness matrix including the computation of the entries, the efficient assembly and storage of a sparse approximation and the efficient 作者: SPECT 時間: 2025-3-29 23:31 作者: gospel 時間: 2025-3-30 01:25 作者: 催眠藥 時間: 2025-3-30 06:13
Problemstellung und Ziel der Arbeit,ver . with zero Dirichlet boundary conditions. A Galerkin method based on a polynomial approximation space is proposed, yielding an approximation .. With sufficiently smooth problem parameters, the method is shown to be rapidly convergent. For . and assuming . is a .. boundary, the convergence of . 作者: 打擊 時間: 2025-3-30 08:20
https://doi.org/10.1007/978-3-663-19796-6rands that become singular on the boundary of the unit cube [0, 1]. or at isolated possibly unknown points within [0, 1].. Here we consider functions on the square [0, 1]. that may become singular as the point approaches the diagonal line ..?=?.., and we study three quadrature methods. The first met作者: invert 時間: 2025-3-30 15:07 作者: Fabric 時間: 2025-3-30 17:09 作者: Traumatic-Grief 時間: 2025-3-30 22:05
,Die Stellung der Websch?fte zur Kette,quations of Volterra and Fredholm types that arise in various applications. In order to do so, we first give a brief review of recent results concerning the numerical analysis of standard (ordinary and partial) Volterra and Fredholm integro-differential equations, with the focus being on collocation作者: Lipoma 時間: 2025-3-31 02:39
,Optimale überwachung in der Praxis,ng applications. When . is large, this task is challenged by the so-called .. As a typical example, standard polynomial spaces, such as those of total degree type, are often uneffective to reach a prescribed accuracy unless a prohibitive number of evaluations is invested. In recent years it has been作者: Occipital-Lobe 時間: 2025-3-31 07:15 作者: Awning 時間: 2025-3-31 10:38 作者: archaeology 時間: 2025-3-31 16:16 作者: 吼叫 時間: 2025-3-31 21:14
Siegfried Ruff,Kurt Krieger,Harald Hansteenox Theory 83:238–254, 1995). In particular, our focus is on reviewing the application of the scalar and vector-valued hyperinterpolation approximations for developing, analyzing and implementing fully-discrete high-order algorithms. Such approximations facilitate efficient simulation of scattering o作者: 我不怕犧牲 時間: 2025-4-1 01:00 作者: staging 時間: 2025-4-1 04:28
https://doi.org/10.1007/978-3-663-20267-7ea is to allow interpolation points depend upon underlying frequency in order to minimize the error. Typically, quadrature error need be examined in two regimes. Once frequency is large, asymptotic behaviour dominates and we need to choose interpolation points accordingly, while for small frequencie作者: 變形 時間: 2025-4-1 07:05
Kernels of a Class of Toeplitz Plus Hankel Operators with Piecewise Continuous Generating Functionsus ..-multiplier, a complete description of the kernel of the Fredholm operator .(.) is derived. Moreover, the kernels of Fredholm Toeplitz plus Hankel operators .(.)?+?.(.) the generating functions . and . of which belong to .. and satisfy the condition .(.).(1∕.)?=?.(.).(1∕.), ., are also determined.作者: Interferons 時間: 2025-4-1 14:08
Josef Dick,Frances Y. Kuo,Henryk Wo?niakowskiGet insight into the exciting life and career of the distinguished mathematician Prof. Ian H. Sloan.Many papers in this book are written by international leaders who present the current state of the a作者: 等待 時間: 2025-4-1 15:56