LEADER 04986nam 22006375 450 001 9910913791403321 005 20250526182721.0 010 $a9783031758027 010 $a3031758021 024 7 $a10.1007/978-3-031-75802-7 035 $a(CKB)36812869000041 035 $a(MiAaPQ)EBC31812816 035 $a(Au-PeEL)EBL31812816 035 $a(DE-He213)978-3-031-75802-7 035 $a(OCoLC)1475659453 035 $a(EXLCZ)9936812869000041 100 $a20241203d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMultiscale, Nonlinear and Adaptive Approximation II /$fedited by Ronald DeVore, Angela Kunoth 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (470 pages) 225 0 $aMathematics and Statistics Series 311 08$a9783031758010 311 08$a3031758013 327 $aRonald A. DeVore and Angela Kunoth, Prologue to Multiscale, Nonlinear and Adaptive Approximation II -- Ronald A. DeVore and Angela Kunoth, Introduction: Wolfgang Dahmen?s mathematical work (as of 2009) -- Markus Bachmayr and Albert Cohen, Multilevel Representations of Random Fields and Sparse Approximations of Solutions to Random PDEs -- Hassan Ballout and Yvon Maday and Christophe Prud?homme, Nonlinear compressive reduced basis approximation for multi-parameter elliptic problem -- Ido Ben Shaul and Shai Dekel, Sparse Besov Space Analysis of Representations in Machine Learning -- Benjamin Berkels and Peter Binev, Joint Denoising and Line Distortion Correction for Raster-Scanned Image Series -- Dietrich Braess and Wolfgang Hackbusch, The Approximation of Cauchy-Stieltjes and Laplace-Stieltjes Functions -- Andrea Bonito and Diane Guignard, Approximating Partial Differential Equations without Boundary Conditions -- Albert Cohen and Ronald DeVore and Eitan Tadmor, Constructions of Bounded Solutions of div u= f in Critical Spaces -- Jan-Christopher Cohrs and Benjamin Berkels, On the importance of the ?-regularization of the distribution-dependent Mumford?Shah model for hyperspectral image segmentation -- Ronald DeVore, Guergana Petrova and Przemys?aw Wojtaszczyk, A Note on Best n-term Approximation for Generalized Wiener Classes -- Lars Grasedyck, Sebastian Krämer and Dieter Moser, Stable Truncation and Root-Independent Normalization of Tree Tensor Networks -- Diane Guignard and Olga Mula, Tree-Based Nonlinear Reduced Modeling -- Helmut Harbrecht and Michael Multerer, Samplets: Wavelet Concepts for Scattered Data -- Michael Herty, Adrian Kolb, and Siegfried Müller, A novel multilevel approach for the efficient computation of random hyperbolic conservation laws -- Kamen G. Ivanov, Gerard Kerkyacharian, George Kyriazis, and Pencho Petrushev, On the Construction of Bases and Frames with Applications -- Angela Kunoth and Mathias Oster and Reinhold Schneider, Towards a Continuous Mathematical Model for the Analysis of Classes of Deep Neural Networks -- Dominique Picard, Unstoppable Mathematicians -- Reinhold Schneider and Mathias Oster, Some Thoughts on Compositional Tensor Networks -- Rob Stevenson, Efficient least squares discretizations for Unique Continuation and Cauchy problems. 330 $aThis book presents a collection of high-quality papers in applied and numerical mathematics, as well as approximation theory, all closely related to Wolfgang Dahmen?s scientific contributions. Compiled in honor of his 75th birthday, the papers are written by leading experts and cover topics including nonlinear approximation theory, numerical analysis of partial differential equations, learning theory, and electron microscopy. A unifying theme throughout the collection is the emphasis on a solid mathematical foundation, which serves as the basis for the most efficient numerical algorithms used to simulate complex phenomena. 606 $aMathematics$xData processing 606 $aApproximation theory 606 $aComputational Mathematics and Numerical Analysis 606 $aApproximations and Expansions 606 $aTeoria de l'aproximació$2thub 606 $aEquacions en derivades parcials$2thub 606 $aAnàlisi numèrica$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematics$xData processing. 615 0$aApproximation theory. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aApproximations and Expansions. 615 7$aTeoria de l'aproximació 615 7$aEquacions en derivades parcials 615 7$aAnàlisi numèrica. 676 $a518 700 $aDeVore$b Ronald$054899 701 $aKunoth$b Angela$0785951 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910913791403321 996 $aMultiscale, Nonlinear and Adaptive Approximation II$94298234 997 $aUNINA