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

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

We consider nonnegative solutions of the Neumann initial-boundary value problem for the chemotaxis-growth system $$\begin{aligned} \left\{ \begin{array}{l}...

35A07 | Secondary: 35F30 | Theoretical, Mathematical and Computational Physics | Hyperbolic-elliptic system | Mathematics | 92C17 | Chemotaxis | 35K55 | Blow-up | Analysis | Appl.Mathematics/Computational Methods of Engineering | Mechanics | Logistic source | Primary: 35B40 | Economic Theory | MATHEMATICS, APPLIED | KELLER-SEGEL SYSTEM | INVASION | MECHANICS | TISSUE | ATTRACTOR | PHYSICS, MATHEMATICAL | TIME BLOW-UP

35A07 | Secondary: 35F30 | Theoretical, Mathematical and Computational Physics | Hyperbolic-elliptic system | Mathematics | 92C17 | Chemotaxis | 35K55 | Blow-up | Analysis | Appl.Mathematics/Computational Methods of Engineering | Mechanics | Logistic source | Primary: 35B40 | Economic Theory | MATHEMATICS, APPLIED | KELLER-SEGEL SYSTEM | INVASION | MECHANICS | TISSUE | ATTRACTOR | PHYSICS, MATHEMATICAL | TIME BLOW-UP

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 06/2016, Volume 314, pp. 590 - 617

A class of augmented approximate Riemann solvers due to George (2008) [12] is extended to solve the shallow-water equations in a moving vessel with variable...

Hyperbolic conservation laws | Wetting and drying | F-wave-propagation | Finite-volume method | Roe solver | Shallow-water sloshing | RIEMANN SOLVERS | EQUATIONS | PHYSICS, MATHEMATICAL | SOURCE TERMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GODUNOV-TYPE METHODS | CHANNELS | CONSERVATION-LAWS | FLOWS | SCHEMES | Water waves | Environmental law | Time dependence | Wave power | Mathematical analysis | Vessels | Solvers | Mathematical models | Runge-Kutta method | Cross sections (physics)

Hyperbolic conservation laws | Wetting and drying | F-wave-propagation | Finite-volume method | Roe solver | Shallow-water sloshing | RIEMANN SOLVERS | EQUATIONS | PHYSICS, MATHEMATICAL | SOURCE TERMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GODUNOV-TYPE METHODS | CHANNELS | CONSERVATION-LAWS | FLOWS | SCHEMES | Water waves | Environmental law | Time dependence | Wave power | Mathematical analysis | Vessels | Solvers | Mathematical models | Runge-Kutta method | Cross sections (physics)

Journal Article

Journal of Complexity, ISSN 0885-064X, 04/2016, Volume 33, pp. 55 - 88

We give tight upper and lower bounds of the cardinality of the index sets of certain hyperbolic crosses which reflect mixed Sobolev–Korobov-type smoothness and...

[formula omitted]-dimension | Parametric and stochastic elliptic PDEs | Infinite-dimensional hyperbolic cross approximation | Mixed Sobolev–Korobov-type smoothness | Mixed Sobolev-analytic-type smoothness | Linear information | ε-dimension | Mixed Sobolev-Korobov-type smoothness | FUNCTION-SPACES | HILBERT-SPACES | MATHEMATICS, APPLIED | RANDOM INPUT DATA | PATH-INTEGRATION | ELLIPTIC PDES | QUASI-MONTE CARLO | MULTILEVEL ALGORITHMS | STOCHASTIC COLLOCATION METHOD | PARTIAL-DIFFERENTIAL-EQUATIONS | epsilon-dimension | ANOVA-TYPE DECOMPOSITION | COMPUTER SCIENCE, THEORY & METHODS | Lower bounds | Approximation | Function space | Mathematical analysis | Constants | Stochasticity | Estimates | Smoothness

[formula omitted]-dimension | Parametric and stochastic elliptic PDEs | Infinite-dimensional hyperbolic cross approximation | Mixed Sobolev–Korobov-type smoothness | Mixed Sobolev-analytic-type smoothness | Linear information | ε-dimension | Mixed Sobolev-Korobov-type smoothness | FUNCTION-SPACES | HILBERT-SPACES | MATHEMATICS, APPLIED | RANDOM INPUT DATA | PATH-INTEGRATION | ELLIPTIC PDES | QUASI-MONTE CARLO | MULTILEVEL ALGORITHMS | STOCHASTIC COLLOCATION METHOD | PARTIAL-DIFFERENTIAL-EQUATIONS | epsilon-dimension | ANOVA-TYPE DECOMPOSITION | COMPUTER SCIENCE, THEORY & METHODS | Lower bounds | Approximation | Function space | Mathematical analysis | Constants | Stochasticity | Estimates | Smoothness

Journal Article

Proceedings of the Combustion Institute, ISSN 1540-7489, 2011, Volume 33, Issue 1, pp. 1629 - 1637

A reactive transverse fuel jet in cross-flow (JICF) configuration is studied using three-dimensional direct numerical simulation (DNS) with detailed chemical...

Transverse jet | Hydrogen combustion | Direct numerical simulation | Fuel injection | Flame stabilization | COMBUSTION | HYPERBOLIC SYSTEMS | ENERGY & FUELS | ENGINEERING, MECHANICAL | ENGINEERING, CHEMICAL | HYDROGEN | THERMODYNAMICS | CHARACTERISTIC BOUNDARY-CONDITIONS | Combustion | Gas-turbines | Numerical analysis | Chemical reaction, Rate of | Hydrogen | Computational fluid dynamics | Stabilization | Fluid flow | Upstream | Nozzles | Fuels | Thermodynamics | Engineering | Energy & Fuels

Transverse jet | Hydrogen combustion | Direct numerical simulation | Fuel injection | Flame stabilization | COMBUSTION | HYPERBOLIC SYSTEMS | ENERGY & FUELS | ENGINEERING, MECHANICAL | ENGINEERING, CHEMICAL | HYDROGEN | THERMODYNAMICS | CHARACTERISTIC BOUNDARY-CONDITIONS | Combustion | Gas-turbines | Numerical analysis | Chemical reaction, Rate of | Hydrogen | Computational fluid dynamics | Stabilization | Fluid flow | Upstream | Nozzles | Fuels | Thermodynamics | Engineering | Energy & Fuels

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

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

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

[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

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

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

IEEE Transactions on Industrial Electronics, ISSN 0278-0046, 03/2015, Volume 62, Issue 3, pp. 1826 - 1834

The objective of condition monitoring of induction machines is to detect the incipient stage of a fault before serious damage occurs with high associated cost....

Induction motors | Parameter estimation | Circuit faults | Mathematical model | Stator windings | Rotors | Condition monitoring | stator winding faults | induction motor | parameter estimation | fault detection and identification | hyperbolic cross points (HCPs) | sparse grid | global optimization | DOMAIN | MODEL | ENGINEERING, ELECTRICAL & ELECTRONIC | MACHINES | INSTRUMENTS & INSTRUMENTATION | FAULT-DIAGNOSIS | AI TECHNIQUES | AUTOMATION & CONTROL SYSTEMS | Induction electric motors | Usage | Equipment and supplies | Mathematical optimization | Methods | Electric fault location

Induction motors | Parameter estimation | Circuit faults | Mathematical model | Stator windings | Rotors | Condition monitoring | stator winding faults | induction motor | parameter estimation | fault detection and identification | hyperbolic cross points (HCPs) | sparse grid | global optimization | DOMAIN | MODEL | ENGINEERING, ELECTRICAL & ELECTRONIC | MACHINES | INSTRUMENTS & INSTRUMENTATION | FAULT-DIAGNOSIS | AI TECHNIQUES | AUTOMATION & CONTROL SYSTEMS | Induction electric motors | Usage | Equipment and supplies | Mathematical optimization | Methods | Electric fault location

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

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

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

SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2010, Volume 47, Issue 6, pp. 4415 - 4428

A straightforward discretization of problems in d spatial dimensions often leads to an exponential growth in the number of degrees of freedom. Thus, even...

Interpolation | Approximation | Polynomials | Matrices | Fourier coefficients | Fast Fourier transformations | Toolboxes | Spatial dimensions | Arithmetic | Hyperbolic cross | Fast fourier transform | Sparse grid | Trigonometric approximation | Nonequispaced FFT | INTERPOLATION | MATHEMATICS, APPLIED | trigonometric approximation | DESIGN | nonequispaced FFT | TRIGONOMETRIC POLYNOMIALS | hyperbolic cross | SPARSE GRIDS | ALGORITHM | sparse grid | fast Fourier transform | Fourier transforms | Mathematical analysis | Fourier analysis | Mathematical models | Computational efficiency | Derivatives | Numerical Analysis | Mathematics

Interpolation | Approximation | Polynomials | Matrices | Fourier coefficients | Fast Fourier transformations | Toolboxes | Spatial dimensions | Arithmetic | Hyperbolic cross | Fast fourier transform | Sparse grid | Trigonometric approximation | Nonequispaced FFT | INTERPOLATION | MATHEMATICS, APPLIED | trigonometric approximation | DESIGN | nonequispaced FFT | TRIGONOMETRIC POLYNOMIALS | hyperbolic cross | SPARSE GRIDS | ALGORITHM | sparse grid | fast Fourier transform | Fourier transforms | Mathematical analysis | Fourier analysis | Mathematical models | Computational efficiency | Derivatives | Numerical Analysis | Mathematics

Journal Article

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Full Text
Broadband adiabatic inversion cross-polarization phenomena in the NMR of rotating solids

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

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

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

Hyperbolic cross | Lattice rule | Sparse grid | Trigonometric approximation | Fast Fourier transform | MATHEMATICS, APPLIED | FOURIER-TRANSFORM | SPARSE GRIDS | COMPUTER SCIENCE, THEORY & METHODS | RULES

Journal Article