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2018, Advanced Courses in Mathematics - CRM Barcelona, ISBN 9783319922393
eBook
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 06/2018, Volume 335, pp. 242 - 269
It is well-known that sparse grid algorithm has been widely accepted as an efficient tool to overcome the “curse of dimensionality” in some degree. In this... 
Generalized polynomial chaos | Spectral method | Differential equations with random inputs | Hyperbolic cross approximation | MATHEMATICS, APPLIED | SPARSE | UNCERTAINTY | Differential equations
Journal Article
Journal of Nonlinear Science, ISSN 0938-8974, 10/2014, Volume 24, Issue 5, pp. 809 - 855
Journal Article
Optics Communications, ISSN 0030-4018, 01/2018, Volume 407, pp. 193 - 198
To design a uniaxial anisotropic metamaterial, a layered cylindrical metamaterial is introduced for TE polarization. Unlike to the previous work, which the... 
Hyperbolic media | Plasmonics | Invisibility | Scattering efficiency | ENZ metamaterials | ELECTROMAGNETICALLY INDUCED TRANSPARENCY | MEDIA | OPTICS | Anisotropy | Analysis
Journal Article
Journal of Fourier Analysis and Applications, ISSN 1069-5869, 2/2019, Volume 25, Issue 1, pp. 167 - 183
We study the linearized maximal operator associated with dilates of the hyperbolic cross multiplier in dimension two. Assuming a Lipschitz condition and a... 
Multipliers | Mathematics | Abstract Harmonic Analysis | Hyperbolic cross | Mathematical Methods in Physics | Square functions | Fourier Analysis | 42B25 | Signal,Image and Speech Processing | Approximations and Expansions | Partial Differential Equations | Maximal functions | Primary 42B15 | FIELDS | MATHEMATICS, APPLIED
Journal Article
Journal of Complexity, ISSN 0885-064X, 06/2018, Volume 46, pp. 66 - 89
In this article, we present a cost–benefit analysis of the approximation in tensor products of Hilbert spaces of Sobolev-analytic type. The Sobolev part is... 
[formula omitted]-dimension | Infinite-dimensional hyperbolic cross approximation | Mixed Sobolev-analytic-type smoothness | Collective Galerkin approximation | Parametric elliptic PDEs | Linear information | ε-dimension | MATHEMATICS | MATHEMATICS, APPLIED | epsilon-dimension
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2013, Volume 51, Issue 5, pp. 2773 - 2796
With given Fourier coefficients the evaluation of multivariate trigonometric polynomials at the nodes of a rank-1 lattice leads to a one-dimensional discrete... 
Hyperbolic cross | Lattice rule | Trigonometric approximation | Fast Fourier transform | MATHEMATICS, APPLIED | trigonometric approximation | hyperbolic cross | FOURIER-TRANSFORM | SPARSE GRIDS | ERROR | fast Fourier transform | lattice rule
Journal Article
Journal of International Money and Finance, ISSN 0261-5606, 09/2017, Volume 76, pp. 68 - 87
•Identification of country-level determinants of sovereign wealth funds net inflows.•Use of a large database of 43 recipient countries over the period... 
Spatial econometrics | Interactions | Sovereign wealth funds | Pull factors | Inverse Hyperbolic Sine transformation | TRADE | BUSINESS, FINANCE | DETERMINANTS | COMPONENTS | VALUES | TRANSFORMATIONS | Automobile drivers | Investments | Analysis | Econometric models | Economics and Finance | Humanities and Social Sciences
Journal Article
Mechanics Research Communications, ISSN 0093-6413, 04/2016, Volume 73, pp. 117 - 126
•This theory accounts for the hyperbolic variation of shear.•This theory is simple and effective; the number of unknowns is reduced.•This theory needs of shear... 
Hyperbolic shear deformation theory | Thermal buckling | Cross-ply laminated plates | SANDWICH PLATES | MECHANICS | NONLINEAR-ANALYSIS | COMPOSITE PLATES | BEHAVIOR | STABILITY | MULTILAYERED COMPOSITE | Hydrology | Mechanical engineering
Journal Article
Groups, Geometry, and Dynamics, ISSN 1661-7207, 2017, Volume 11, Issue 1, pp. 311 - 352
We provide a concrete criterion to determine whether or not two given elements of PU(2,1) can be written as products of real reflections, with one reflection... 
Complex hyperbolic geometry | Reflection groups | MATHEMATICS | TRIANGLE GROUPS | REPRESENTATIONS | SURFACE GROUPS | INVARIANT | SUBGROUPS | reflection groups
Journal Article
Journal of Machine Learning Research, ISSN 1532-4435, 2013, Volume 29, pp. 435 - 450
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 02/2020, Volume 82, Issue 2
Journal Article
Journal Article
Solid State Nuclear Magnetic Resonance, ISSN 0926-2040, 10/2018, Volume 94, pp. 31 - 53
We explore the use of cross-polarization magic-angle spinning (CPMAS) methods incorporating an adiabatic frequency sweep in a standard Hartman-Hahn CPMAS pulse... 
ANGLE-SPINNING NMR | PHYSICS, CONDENSED MATTER | PROTON-ENHANCED NMR | NUCLEAR-MAGNETIC-RESONANCE | INTEGER QUADRUPOLAR NUCLEI | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | HYPERBOLIC SECANT PULSES | HARTMANN-HAHN CONDITION | SPECTROSCOPY | MAGIC-ANGLE | MAS-NMR | HIGH-SPEED | STATE NMR | Broadband transmission | Analysis
Journal Article
Ocean Modelling, ISSN 1463-5003, 11/2016, Volume 107, pp. 82 - 96
•3D baroclinic model used to investigate complex Upper Chesapeake Bay.•A new implicit transport solver greatly enhances efficiency and accuracy.•Flexibility in... 
Cross-scale | USA | Chesapeake bay | Estuarine circulation | SCHISM | Implicit transport | CIRCULATION | SEMIIMPLICIT METHOD | EQUATIONS | EUTROPHICATION | CHALLENGES | RESPONSES | SCHEME | ESTUARIES | COASTAL OCEAN | OCEANOGRAPHY | METEOROLOGY & ATMOSPHERIC SCIENCES | HYPERBOLIC CONSERVATION-LAWS | Dynamic meteorology | Analysis | Estuaries | Biogeochemistry | Rivers | Salinity | Ocean models | Solvers | Tributaries | Transport | Three dimensional models
Journal Article
Journal of Complexity, ISSN 0885-064X, 2012, Volume 28, Issue 1, pp. 76 - 92
Sparse grid discretisations allow for a severe decrease in the number of degrees of freedom for high-dimensional problems. Recently, the corresponding... 
Hyperbolic cross | Lattice rule | Sparse grid | Trigonometric approximation | Fast Fourier transform | MATHEMATICS, APPLIED | FOURIER-TRANSFORM | SPARSE GRIDS | COMPUTER SCIENCE, THEORY & METHODS | RULES
Journal Article