Keywords: انتگرال انحنا; Discrete Littlewood-Paley analysis; Heisenberg group; Flag Hardy spaces; Singular integrals;
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Keywords: انتگرال انحنا; Computational electrodynamics; Boundary integral equations; Singular integrals; Electromagnetic scattering; Numerical methods for integral equations;
Keywords: انتگرال انحنا; 42B20; 42B99; Singular integrals; Multilinear operators; Rough operators;
Keywords: انتگرال انحنا; 42B20; 42B25; Weighted jump inequalities; Variational inequalities; Singular integrals; Rough kernels;
Keywords: انتگرال انحنا; Amalgam spaces; Hardy spaces; Hardy-amalgam spaces; Maximal characterization; Atomic decomposition; Singular integrals;
Keywords: انتگرال انحنا; 42B20; 42B25; Singular integrals; Disk multiplier; Fourier restriction theorems;
Keywords: انتگرال انحنا; 41A55; 65D30; 65D32; 33C45Numerical integration; Singular integrals; Gaussian quadrature; Orthogonalization; Boundary element method
Keywords: انتگرال انحنا; Quadrature rules; Singular integrals; Hypersingular integrals; Integral equations; Nyström method;
Keywords: انتگرال انحنا; primary, 42B20, 42B25; secondary, 46E30Variation inequalities; Vector-valued inequalities; (One-sided) ApAp weights; Differential operators; Singular integrals
Keywords: انتگرال انحنا; 65D32; 65D30Bessel function; Oscillatory integrals; Singular integrals; Taylor polynomial; Filon-type method
Keywords: انتگرال انحنا; Hilbert operator; Singular integrals; Hyperholomorphic functions; Maxwell equations; Electromagnetic theory
Keywords: انتگرال انحنا; Potential problems; 3D IGABEM; Singular integrals; Power series expansion method
Keywords: انتگرال انحنا; Singular integrals; Maximal functions; Hardy spaces; Fourier transform
An integral equation approach for the solution of the Stokes flow with Hermite surfaces
Keywords: انتگرال انحنا; Integral equation method; Stokes flow; Hermite functions; Singular integrals; Sedimentation; Helical swimmers;
Efficient quadrature rules based on spline quasi-interpolation for application to IGA-BEMs
Keywords: انتگرال انحنا; Singular integrals; Quasi-interpolation; Isogeometric analysis; Boundary element methods; B-splines; Modified moments;
Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM
Keywords: انتگرال انحنا; Boundary Integral Equations (BIEs); Isogeometric Analysis (IgA); Symmetric Galerkin Boundary Element Method (SGBEM); Weighted quadrature rules; Singular integrals; Modified moments;
Sharp Lp estimates for singular transport equations
Keywords: انتگرال انحنا; Singular integrals; Transport equation; Sharp estimates;
A fast algorithm with error bounds for Quadrature by Expansion
Keywords: انتگرال انحنا; Fast algorithms; Fast multipole method; Integral equations; Quadrature; Singular integrals;
Fast algorithms for Quadrature by Expansion I: Globally valid expansions
Keywords: انتگرال انحنا; Layer potentials; Singular integrals; Quadrature; High-order accuracy; Integral equations; Fast multipole method;
Implementation of CPCT based BIEs for 3D elasticity and its application in fracture mechanics
Keywords: انتگرال انحنا; Boundary element method; Dual BEM; Fracture mechanics; Singular integrals
The CPCT based CBIE and HBIE for potential problems in three dimensions
Keywords: انتگرال انحنا; Boundary element method; Singular integrals; Nearly singular integrals; Singularity subtraction method; Conformal polar coordinate transformation; Sigmoidal transformation
A priori estimates for the 3D quasi-geostrophic system
Keywords: انتگرال انحنا; 3D Quasi-geostrophic model; A priori estimates; Besov spaces; Non-local diffusion operator; Lagrangian flow; Singular integrals
On an analytical method to solve singular integrals both in space and time for 2-D elastodynamics by TD-BEM
Keywords: انتگرال انحنا; Time domain boundary element method (TD-BEM); Elastodynamics; Singular integrals; H matrix
Riesz transforms for Dunkl Hermite expansions
Keywords: انتگرال انحنا; Singular integrals; Dunkl operators; Hermite polynomials
Continuous wavelet transforms on n-dimensional spheres
Keywords: انتگرال انحنا; 42B20; 42C40Spherical wavelets; n-spheres; Singular integrals; Approximate identities
Negative Orlicz–Sobolev norms and strongly nonlinear systems in fluid mechanics
Keywords: انتگرال انحنا; 46E30; 46E35; 35J57; 76D03; 65N30Orlicz–Sobolev spaces; Negative norms; Strongly nonlinear elliptic systems; Non-Newtonian fluids; Bogovskiĭ operator; Singular integrals
Boundary singularities of solutions of semilinear elliptic equations with critical Hardy potentials
Keywords: انتگرال انحنا; primary, 35J66, 35J10; secondary, 31A15, 35H25, 28A12Semilinear elliptic equation; Hardy potentials; Harmonic measure; Singular integrals; Besov capacities; Optimal lifting operator; Boundary singularities; Boundary trace
Numerical integration based on a multilevel quartic quasi-interpolation operator
Keywords: انتگرال انحنا; Quasi-interpolation operators; Multilevel; Quartic spline space; Singular integrals;
Fast computation of a class of highly oscillatory integrals
Keywords: انتگرال انحنا; Oscillatory integrals; Singular integrals; Numerical evaluation; Analytic continuation; General Gauss-Laguerre quadrature rule;
Efficiency improvement of the polar coordinate transformation for evaluating BEM singular integrals on curved elements
Keywords: انتگرال انحنا; Singular integrals; Boundary element method; Nyström method; Acoustics;
A note on singular integrals with dominating mixed smoothness in Triebel-Lizorkin spaces
Keywords: انتگرال انحنا; singular integrals; Marcinkiewicz integrals; mixed smoothness; Triebel-Lizorkin spaces42B20; 42B25
Harmonic singular integrals and steerable wavelets in L2(Rd)L2(Rd)
Keywords: انتگرال انحنا; Spherical harmonics; Steerable wavelets; Singular integrals
On the Hilbert formulas on the unit sphere for the time-harmonic relativistic Dirac bispinors theory
Keywords: انتگرال انحنا; Hilbert operator; Singular integrals; Hyperholomorphic functions; Relativistic Dirac bispinors theory;
Korn type inequalities in Orlicz spaces
Keywords: انتگرال انحنا; 46E35; 46E30Korn inequality; Orlicz spaces; Symmetric gradient; Singular integrals
Quadrature by expansion: A new method for the evaluation of layer potentials
Keywords: انتگرال انحنا; Layer potentials; Singular integrals; Quadrature; High-order accuracy; Integral equations;
Multi-parameter singular Radon transforms II: The LpLp theory
Keywords: انتگرال انحنا; primary, 42B20; secondary, 42B25Calderón–Zygmund theory; Singular integrals; Singular Radon transforms; Maximal Radon transforms; Littlewood–Paley theory; Product kernels; Flag kernels; Carnot–Carathéodory geometry
Signed LpLp-distance fields
Keywords: انتگرال انحنا; Approximate distance functions; Singular integrals; Generalized double potentials
Mixed A1A1–A∞A∞ bounds for fractional integrals
Keywords: انتگرال انحنا; Maximal operators; Fractional integrals; Singular integrals; Weight norm inequalities; Sharp bounds
On the numerical evaluation of the singular integrals of scattering theory
Keywords: انتگرال انحنا; Integral equations; Scattering theory; Electromagnetic scattering; Acoustic scattering; Singular integrals; Quadrature
On the use of power series solution method in the crack analysis of brittle materials by indirect boundary element method
Keywords: انتگرال انحنا; Power series solution method (PSS); Singular integrals; Indirect BEM; Crack analysis
Estimates for singular integrals on homogeneous groups
Keywords: انتگرال انحنا; Singular integrals; Homogeneous groups
3D acoustic wave simulation using BEM formulations: Closed form integration of singular and hypersingular integrals
Keywords: انتگرال انحنا; Wave propagation; Three-dimensional acoustic waves; Scattering; Three-dimensional boundary element method; Singular integrals; Hypersingular integrals
An extrapolation theorem with applications to weighted estimates for singular integrals
Keywords: انتگرال انحنا; Singular integrals; Maximal functions; Weighted inequalities
Multi-parameter singular Radon transforms III: Real analytic surfaces
Keywords: انتگرال انحنا; primary, 42B20; secondary, 42B25, 26E05, 32B05Calderón–Zygmund theory; Singular integrals; Singular Radon transforms; Real analytic surfaces; Weierstrass preparation; Maximal Radon transforms; Littlewood–Paley theory; Product kernels; Flag kernels; Carnot
Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals
Keywords: انتگرال انحنا; 42B20; 42B25; Littlewood-Paley operators; Singular integrals; Sharp weighted inequalities;
On Muckenhoupt–Wheeden Conjecture
Keywords: انتگرال انحنا; Singular integrals; Weights; Calderón–Zygmund operators
Explicit expressions for three-dimensional boundary integrals in linear elasticity
Keywords: انتگرال انحنا; 35J25; 45E99; 65N38; 65R20Analytical integration; Singular integrals; Boundary element method; Elastostatics
Analyticity of layer potentials and L2 solvability of boundary value problems for divergence form elliptic equations with complex Lâ coefficients
Keywords: انتگرال انحنا; Singular integrals; Square functions; Layer potentials; Divergence form elliptic equations; Local Tb theorem;
On the implementation of 3D Galerkin boundary integral equations
Keywords: انتگرال انحنا; Galerkin approximation; Sparse preconditioner; Singular integrals; Hypersingular integrals; Boundary element method; Triangular boundary; Potential theory; Incomplete LU; Iterative methods35J25; 65N38; 65R20; 65F10; 65F35; 65F50
Application of singular elements for fully Lagrangian modeling of dynamics of MEMS with thin beams
Keywords: انتگرال انحنا; Boundary integral equations; Boundary element method; Singular integrals; Nearly singular integrals; Micro-electro-mechanical systems; Aspect ratio; Thin beam; Newton scheme