2014, Annals of mathematics studies, ISBN 9780691162515, Volume number 189, xiii, 395 pages

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical...

Singular integrals | Transformations (Mathematics) | Mathematical Analysis, PBK- PBKL | Mathematics | Calculus, Mathematics | Singular Integrals

Singular integrals | Transformations (Mathematics) | Mathematical Analysis, PBK- PBKL | Mathematics | Calculus, Mathematics | Singular Integrals

Book

Journal of Computational Physics, ISSN 0021-9991, 11/2016, Volume 325, pp. 338 - 357

We present Gauss–Jacobi quadrature rules in terms of hypergeometric functions for the discretization of weakly singular, strongly singular, hypersingular, and...

Nyström method | Gauss–Jacobi quadrature rules | Nearly singular integrals | Weakly singular integrals | Hypersingular integrals | Strongly singular integrals | Analysis | Methods | Electromagnetism

Nyström method | Gauss–Jacobi quadrature rules | Nearly singular integrals | Weakly singular integrals | Hypersingular integrals | Strongly singular integrals | Analysis | Methods | Electromagnetism

Journal Article

Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 10/2015, Volume 218, Issue 1, pp. 219 - 273

Bounded minimisers of the functional $$w \mapsto \int (|Dw|^p+a(x)|Dw|^q)\,{\rm d}x,$$ w ↦ ∫ ( | D w | p + a ( x ) | D w | q ) d x , where $${0 \leqq a(\cdot)...

Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | INTEGRABILITY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | P-HARMONIC APPROXIMATION | REGULARITY | RELAXATION | NONSTANDARD GROWTH | ELLIPTIC-EQUATIONS | FRACTIONAL SOBOLEV SPACES | FUNCTIONALS | SINGULAR SET

Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | INTEGRABILITY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | P-HARMONIC APPROXIMATION | REGULARITY | RELAXATION | NONSTANDARD GROWTH | ELLIPTIC-EQUATIONS | FRACTIONAL SOBOLEV SPACES | FUNCTIONALS | SINGULAR SET

Journal Article

Advances in Mathematics, ISSN 0001-8708, 02/2018, Volume 326, pp. 54 - 78

We study the rough bilinear singular integral, introduced by Coifman and Meyer [8],TΩ(f,g)(x)=p.v.∫Rn∫Rn|(y,z)|−2nΩ((y,z)/|(y,z)|)f(x−y)g(x−z)dydz, when Ω is a...

Singular integrals | Multilinear operators | Rough operators | MATHEMATICS | WEAK TYPE 1 | UNIFORM BOUNDS | HILBERT-TRANSFORMS | COMMUTATORS | OPERATORS

Singular integrals | Multilinear operators | Rough operators | MATHEMATICS | WEAK TYPE 1 | UNIFORM BOUNDS | HILBERT-TRANSFORMS | COMMUTATORS | OPERATORS

Journal Article

Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 01/2018, Volume 87, Issue 309, pp. 309 - 345

We develop two classes of composite moment-free numerical quadratures for computing highly oscillatory integrals having integrable singularities and stationary...

Oscillatory integrals | Algebraic singularities | Moment-free Filon-type method | Stationary points | Graded points | MATHEMATICS, APPLIED | graded points | moment-free Filon-type method | STATIONARY-POINTS | FORMULA | stationary points | FILON | algebraic singularities | CLENSHAW-CURTIS RULES | NUMERICAL-INTEGRATION | QUADRATURE METHODS | DERIVATIVES | SINGULAR-INTEGRALS

Oscillatory integrals | Algebraic singularities | Moment-free Filon-type method | Stationary points | Graded points | MATHEMATICS, APPLIED | graded points | moment-free Filon-type method | STATIONARY-POINTS | FORMULA | stationary points | FILON | algebraic singularities | CLENSHAW-CURTIS RULES | NUMERICAL-INTEGRATION | QUADRATURE METHODS | DERIVATIVES | SINGULAR-INTEGRALS

Journal Article

Computer Physics Communications, ISSN 0010-4655, 01/2014, Volume 185, Issue 1, pp. 2 - 10

We present a tensor-structured method for calculating the Møller–Plesset (MP2) correction to the Hartree–Fock energy with reduced computational cost. The...

Two-electron integrals | Tensor decomposition | Møller–Plesset perturbation theory | Hartree–Fock equation | Truncated Cholesky factorization | Truncated singular value decomposition | Quantized tensor approximation | Hartree-Fock equation | Møller-Plesset perturbation theory | TRANSFORMATION | MATRIX | Moller-Plesset perturbation theory | DECOMPOSITION | PHYSICS, MATHEMATICAL | INVERSE | PRODUCT APPROXIMATION | PERTURBATION-THEORY | QUANTUM-CHEMISTRY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GENERAL BASIS | SYSTEMS | OPERATORS | Algorithms

Two-electron integrals | Tensor decomposition | Møller–Plesset perturbation theory | Hartree–Fock equation | Truncated Cholesky factorization | Truncated singular value decomposition | Quantized tensor approximation | Hartree-Fock equation | Møller-Plesset perturbation theory | TRANSFORMATION | MATRIX | Moller-Plesset perturbation theory | DECOMPOSITION | PHYSICS, MATHEMATICAL | INVERSE | PRODUCT APPROXIMATION | PERTURBATION-THEORY | QUANTUM-CHEMISTRY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GENERAL BASIS | SYSTEMS | OPERATORS | Algorithms

Journal Article

Applied and Computational Harmonic Analysis, ISSN 1063-5203, 03/2014, Volume 36, Issue 2, pp. 183 - 197

Here we present a method of constructing steerable wavelet frames in ( ) that generalizes and unifies previous approaches, including Simoncellis pyramid and...

Singular integrals | Spherical harmonics | Steerable wavelets | POSITIVE-DEFINITE FUNCTIONS | MATHEMATICS, APPLIED | FRAMES | SPHERES | PHYSICS, MATHEMATICAL | Mathematics - Classical Analysis and ODEs

Singular integrals | Spherical harmonics | Steerable wavelets | POSITIVE-DEFINITE FUNCTIONS | MATHEMATICS, APPLIED | FRAMES | SPHERES | PHYSICS, MATHEMATICAL | Mathematics - Classical Analysis and ODEs

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 08/2018, Volume 139, pp. 115 - 118

It is well known that ∫01t−θdt<∞ for θ∈(0,1) and ∫01t−θdt=∞ for θ∈[1,∞). Since t can be taken as an α-stable subordinator with α=1, it is natural to ask...

[formula omitted]-stable subordinator | Singular integral of [formula omitted]-stable subordinator | α-stable subordinator | Singular integral of α-stable subordinator | Singular integral of alpha-stable subordinator | STATISTICS & PROBABILITY | alpha-stable subordinator | DRIVEN | Parathyroid hormone

[formula omitted]-stable subordinator | Singular integral of [formula omitted]-stable subordinator | α-stable subordinator | Singular integral of α-stable subordinator | Singular integral of alpha-stable subordinator | STATISTICS & PROBABILITY | alpha-stable subordinator | DRIVEN | Parathyroid hormone

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 08/2016, Volume 144, Issue 8, pp. 3413 - 3418

In this note we prove a class of sharp inequalities for singular integral operators in weighted Lebesgue spaces with angular integrability.

Singular integrals | Angular integrability | MATHEMATICS | NONLINEAR DIRAC-EQUATION | MATHEMATICS, APPLIED | INEQUALITIES | REGULARITY | angular integrability

Singular integrals | Angular integrability | MATHEMATICS | NONLINEAR DIRAC-EQUATION | MATHEMATICS, APPLIED | INEQUALITIES | REGULARITY | angular integrability

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 9/2019, Volume 13, Issue 6, pp. 2687 - 2706

In this paper we extend Luzin inequality for functions defined by the Cauchy-Leray-Fantappiè integral on the complement of a convex domain in $$\mathbb {C}^n$$...

Singular integral operator | Operator Theory | Primary 32A55 | Analysis | Mathematics, general | Mathematics | Area inequality | Secondary 41A17 | Cauchy-Leray-Fantappiè integral | MATHEMATICS | MATHEMATICS, APPLIED | Cauchy-Leray-Fantappie integral | DOMAINS | Numerical analysis | Equality

Singular integral operator | Operator Theory | Primary 32A55 | Analysis | Mathematics, general | Mathematics | Area inequality | Secondary 41A17 | Cauchy-Leray-Fantappiè integral | MATHEMATICS | MATHEMATICS, APPLIED | Cauchy-Leray-Fantappie integral | DOMAINS | Numerical analysis | Equality

Journal Article

1971, Lecture notes in mathematics, ISBN 0387055029, Volume 200, vi, 272

Book

Journal of Computational Physics, ISSN 0021-9991, 12/2015, Volume 303, pp. 498 - 513

We present n-point Gauss–Gegenbauer quadrature rules for weakly singular, strongly singular, and hypersingular integrals that arise in integral equation...

Nyström method | Singular integrals | Quadrature rules | Hypersingular integrals | Integral equations | Nystrom method | PRINCIPAL VALUE INTEGRALS | 2-D | PHYSICS, MATHEMATICAL | CAUCHY | HADAMARD-TYPE SINGULARITIES | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CONVERGENCE | SYSTEMS | 2ND KIND | FORMULAS | Singularities | Singular integral equations | Integrals | Mathematical models | Corners | Boundary element method | Quadratures

Nyström method | Singular integrals | Quadrature rules | Hypersingular integrals | Integral equations | Nystrom method | PRINCIPAL VALUE INTEGRALS | 2-D | PHYSICS, MATHEMATICAL | CAUCHY | HADAMARD-TYPE SINGULARITIES | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CONVERGENCE | SYSTEMS | 2ND KIND | FORMULAS | Singularities | Singular integral equations | Integrals | Mathematical models | Corners | Boundary element method | Quadratures

Journal Article

Publicacions Matematiques, ISSN 0214-1493, 2004, Volume 48, pp. 199 - 208

We shall discuss singular integrals on lower dimensional subsets of R-n. A survey of this topic was given in [M4]. The first part of this paper gives a quick...

Rectifiable measure | Cauchy kernel | Riesz kernel | Singular integral | EXISTENCE | MATHEMATICS | R(N) | SETS | singular integral | rectifiable measure | ANALYTIC CAPACITY | PRINCIPAL VALUES

Rectifiable measure | Cauchy kernel | Riesz kernel | Singular integral | EXISTENCE | MATHEMATICS | R(N) | SETS | singular integral | rectifiable measure | ANALYTIC CAPACITY | PRINCIPAL VALUES

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 03/2014, Volume 77, pp. 97 - 112

In the context of metric f(R) gravity, we consider a FLRW space–time, filled with a perfect fluid described by a barotropic equation of state (p=γρ). We give...

Singular Lagrangians | Modified theories of gravity | Noether symmetries | MATHEMATICS, APPLIED | MODELS | DYNAMICS | PHYSICS, MATHEMATICAL | QUANTUM COSMOLOGY | MODIFIED GRAVITY | Physics - General Relativity and Quantum Cosmology

Singular Lagrangians | Modified theories of gravity | Noether symmetries | MATHEMATICS, APPLIED | MODELS | DYNAMICS | PHYSICS, MATHEMATICAL | QUANTUM COSMOLOGY | MODIFIED GRAVITY | Physics - General Relativity and Quantum Cosmology

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 06/2019, Volume 386, pp. 568 - 584

We present a numerical method for computing the single layer (Stokeslet) and double layer (stresslet) integrals in Stokes flow. The method applies to smooth,...

Boundary integral method | Nearly singular integrals | Regularization | Stokes flow | ALGORITHM | POTENTIALS | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MOTION | EQUATION METHOD | EXPANSION | QUADRATURE | BOUNDARY | LAPLACE | Analysis | Algorithms | Error analysis | Computational fluid dynamics | Numerical methods | Electric double layer | Kernels | Three dimensional flow | Integrals | Integral equations | Monolayers | Error correction | Grid refinement (mathematics)

Boundary integral method | Nearly singular integrals | Regularization | Stokes flow | ALGORITHM | POTENTIALS | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MOTION | EQUATION METHOD | EXPANSION | QUADRATURE | BOUNDARY | LAPLACE | Analysis | Algorithms | Error analysis | Computational fluid dynamics | Numerical methods | Electric double layer | Kernels | Three dimensional flow | Integrals | Integral equations | Monolayers | Error correction | Grid refinement (mathematics)

Journal Article

Engineering Analysis with Boundary Elements, ISSN 0955-7997, 06/2019, Volume 103, pp. 126 - 136

Boundary element method formulations usually rely eventually on the calculation of weakly singular integrals, and hence robust and efficient algorithms for...

Singular integrals | Numerical integration | Polar coordinates | Boundary element method | TRANSFORMATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | ALGORITHM | EQUATIONS | BOUNDARY | Algorithms

Singular integrals | Numerical integration | Polar coordinates | Boundary element method | TRANSFORMATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | ALGORITHM | EQUATIONS | BOUNDARY | Algorithms

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 10/2017, Volume 311, pp. 314 - 323

In this paper, we study one class of generalized convolution-type singular integral equations in class {0}. Such equations are turned into complete singular...

Fourier transform | Complete singular integral equation | Convolution kernel | Clifford analysis | Fredholm equation | EXISTENCE | MATHEMATICS, APPLIED | CAUCHY KERNEL | OPERATORS

Fourier transform | Complete singular integral equation | Convolution kernel | Clifford analysis | Fredholm equation | EXISTENCE | MATHEMATICS, APPLIED | CAUCHY KERNEL | OPERATORS

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 11/2017, Volume 273, Issue 10, pp. 3027 - 3060

We prove Lp estimates for trilinear multiplier operators with singular symbols. These operators arise in the study of iterated trilinear Fourier integrals,...

Time-frequency analysis | Fourier analysis | Multilinear operators | Singular integral operators | MATHEMATICS

Time-frequency analysis | Fourier analysis | Multilinear operators | Singular integral operators | MATHEMATICS

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.