Keywords: primary; 65Y20; secondary; 41A15; 41A25; 41A63; 65D99; High dimensional approximation; Rank one tensors; Worst case error; Tractability; Curse of dimensionality; Dispersion;
مقالات ISI (ترجمه نشده)
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Keywords: 41A15; Piecewise linear approximation; Sampling sites; Normal distribution;
Keywords: Self-adjoint singularly-perturbation problems; Two-point boundary value problems; Trigonometric quintic B-spline collocation method; 41A15; 65M70; 65M12; 65L11;
Keywords: Modified Kawahara equation; Finite element method; Collocation; Solitary waves; B-spline; 74S05; 41A15; 65N35; 76B25;
Keywords: 15A09; 35K35; 41A15; 41A29; 94A12Moore–Penrose inverse; Fourier transform; Linear diffusion; Orthogonal matching pursuit; Partial differential equations; Interpolation
Keywords: 14D20; 41A15; 55N91Algebraic moduli; Splines approximation; Equivariant cohomology
Keywords: 41A15; 41A25; 68U10Smoothing problems; Convergence; Vector fields
Best approximations and moduli of smoothness of functions and their derivatives in Lp, 0<p<1
Keywords: 41A10; 41A15; 41A17; 41A25; 41A28; Spaces Lp; 0<p<1; Moduli of smoothness; Best approximation; Simultaneous approximation; Trigonometric and algebraic polynomials; Splines;
An integro quadratic spline approach for a class of variable-order fractional initial value problems
Keywords: Variable-order fractional calculus; Spline approximation; Integro spline; Bagley-Torvik fractional equation; Basset fractional equation; 26A33; 34A08; 33F05; 41A15; 65L12; 65L05;
Optimal spline spaces of higher degree for L2 Â n-widths
Keywords: primary; 41A15; 47G10; secondary; 41A44; n-widths; Splines; Isogeometric analysis; Total positivity; Green's functions;
C1C1 cubic splines on Powell–Sabin triangulations
Keywords: Nested spline spaces; Powell–Sabin triangulation; Normalized B-splines; Control structure41A05; 41A15; 65D07; 65D17
A new basis for osculatory interpolation problems and applications
Keywords: Spline approximation; Hermite interpolation; Smoothing of functions; 65D07; 41A15; 65D10; 65D17;
Radially symmetric thin plate splines interpolating a circular contour map
Keywords: 41A05; 41A15; 41A63; 65D07Thin plate spline; Radially symmetric function; LL-spline; Beppo Levi polyspline; Approximation order
Spaces of generalized splines over T-meshes
Keywords: 41A15; 65D07T-mesh; Generalized splines; Dimension formula; Basis functions; Approximation power
Multirate systems with shortest spline-wavelet filters
Keywords: 42C40; 41A15; 94A12; 93C55; 93C95; 93C30Multirate system; Filter bank; B-spline; Arbitrarily integer dilation; Shortest wavelet filters; Polyphase matrices; Matrix extension; Wavelet function spaces
Fractal functions with function scaling factors as solutions of (0,4) lacunary interpolation problem
Keywords: Fractal function; Function scaling factors; Lacunary interpolation; Approximation order; Holladay functional; Convex optimization; 28A80; 26A18; 41A05; 41A15; 41A25;
Zak transforms and Gabor frames of totally positive functions and exponential B-splines
Keywords: 42C15; 41A15; 42C40Gabor frame; Total positivity; Exponential B-spline; Zak transform
Gradient field approximation: Application to registration in image processing
Keywords: 41A15; 41A25; 68U10Registration; Image processing; Approximation; Vectorial splines; Conservative vector fields
Scattered data interpolation by bivariate splines with higher approximation order
Keywords: 41A15; 65M60; 65N30Bivariate splines; Lagrange spline interpolation; Hermite spline interpolation; Minimal energy method
Uniform tension algebraic trigonometric spline wavelets of class C2 and order four
Keywords: 41A05; 41A15; 43A90; 65D05; 65D07; 65D10; Closed curve; Multiresolution analysis; UTAT spline wavelets;
Construction of quintic Powell-Sabin spline quasi-interpolants based on blossoming
Keywords: 41A15; 65D05; 65D17; Quintic B-spline; Powell-Sabin triangulation; Blossoming; Marsden's identity; Quasi-interpolation;
Error analysis for a non-standard class of differential quasi-interpolants
Keywords: 41A05; 41A15; 65D05; 65D07; B-splines; Differential quasi-interpolants; Discrete quasi-interpolants; Error estimates;
Solving parametric piecewise polynomial systems
Keywords: 14M15; 14Q10; 41A15; 41A46; 65D07; 65D10Piecewise polynomial; Parametric piecewise polynomial system; Parametric semi-algebraic systems; Discriminant variety; Number of real zeros
Computing quasi-interpolants from the B-form of B-splines
Keywords: 41A05; 41A15; 65D05; 65D07B-splines; Differential quasi-interpolants; Discrete quasi-interpolants; Integral quasi-interpolants; Error estimates; Approximation power; B-form
Fast high-dimensional approximation with sparse occupancy trees
Keywords: 41A15; 41A63High-dimensional approximation; Non-parametric regression; Non-linear approximation; Multiresolution tree
Functional experiment design for the analysis of colour changes in granite using new L∗a∗b∗ functional colour coordinates
Keywords: 41A15; 62K15; 62J10; 62P30Functional data; Full factorial ANOVA; CIE colour coordinates; Colour matching curves; Granite; Desalination treatments
On near-best discrete quasi-interpolation on a four-directional mesh
Keywords: 41A05; 41A15; 65D05; 65D07ΩΩ-splines; Discrete quasi-interpolants; Near-best quasi-interpolants
A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations
Keywords: 41A15; 41A63; 65D07; 65D15; 65D17Tension; Bivariate splines; Two-stage scattered data fitting
Construction of spherical spline quasi-interpolants based on blossoming
Keywords: 41A15; 65D05; 65D17Quadratic spherical splines; Quasi-interpolation; Powell–Sabin triangulation; Bézier–Bernstein representation
Orthogonality and recurrence for ordered Laurent polynomial sequences
Keywords: 30B70; 41A15; 42C05Orthonormal Laurent polynomials; Three-term recurrence relation; Favard-type theorem
An approximation method with data selection process
Keywords: 65D15; 65D10; 41A15; 49K05Approximation; Fitting; Curve data selection; Spline; Free-form design
Discrete approximation by variational vector splines for noisy data
Keywords: 65D05; 65D07; 41A15; 41A29; Approximation; Curves & surfaces; Variational spline; Noisy data; Finite element;
Constrained variational refinement
Keywords: 41A05; 41A15; 41A29Splines; Interpolation; Approximation
On Chebyshev-type integral quasi-interpolation operators
Keywords: 41A05; 41A15; 65D05; 65D07B-splines; Integral quasi-interpolants; Quasi-interpolation error; Chebyshev-type integral quasi-interpolants
Non-separable splines and numerical computation of evolution equations by the Galerkin methods
Keywords: 41A15; 35L60; 65N40; 65M70Spline; Galerkin method; Evolution equation
On the construction of local quadratic spline quasi-interpolants on bounded rectangular domains
Keywords: 65D07; 65D15; 41A15; Spline approximation; Quasi-interpolation; Criss-cross triangulation; Algorithms;
Bivariate variational splines with monotonicity constraints
Keywords: AMS(MOS) 65D05; 65D07; 41A15; 41A29Monotonicity; Interpolating surfaces; Splines; Finite element
Near-best operators based on a C2 quartic spline on the uniform four-directional mesh
Keywords: 41A05; 41A15; 65D05; 65D07; B-splines; Box-splines; Subdivision scheme; Refinable function vector; Near-best quasi-interpolants;
On Chebyshev-type discrete quasi-interpolants
Keywords: 41A05; 41A15; 65D05; 65D07; B-splines; Discrete quasi-interpolants; Quasi-interpolation error; Chebyshev-type discrete quasi-interpolants;
Sextic spline solution of fifth-order boundary value problems
Keywords: 41A05; 41A15; 65D05; 65D07Fifth-order boundary-value problems; Collocation method; Sextic spline interpolant; Quasi-interpolant
Recursive computation of Hermite spherical spline interpolants
Keywords: 41A05; 41A15; 43A90; 65D05; 65D07; 65D10Spherical splines; Hermite interpolation; Recursive computation; Decomposition
Optimal Lagrange interpolation by quartic C1C1 splines on triangulations
Keywords: 41A05; 41A15; 65D05; 65D07; 65D17; 41A63Bivariate splines; Local Lagrange interpolation; Refinement of triangulations; Optimal approximation order
Limit problems for interpolation by analytic radial basis functions
Keywords: 41A15; 41A25; 41A30; 41A63; 65D10Radial basis functions; Moment conditions; Preconditioning; Hermite interpolation; Polynomial interpolation
Error estimates in Sobolev spaces for interpolating thin plate splines under tension
Keywords: 65D05; 65D07; 65D15; 41A15; Approximation theory; Interpolation; Error estimates and convergence;
Transport schemes on a sphere using radial basis functions
Keywords: 58J45; 41A21; 41A15; 41A63; 65D25; 65D30; 65M20; 65M70; 76M22; 86A10Radial basis functions; Hyperbolic PDEs; Spherical geometry; Mesh-free
The best parameterization for parametric interpolation
Keywords: 41A05; 41A15; 15A12; 65H05; 65H10Interpolation; Approximation; Parameterization; Best parameter
Convergence of cubic piecewise function
Keywords: 41A15; Polynomial splines; Convergence; Explicit representation;
One sided Hermite interpolation by piecewise different generalized polynomials
Keywords: 41A15; 41A05ECT-systems; Generalized polynomials; Generalized piecewise polynomials; Modified Hermite interpolation; One sided Hermite interpolation
C1C1 hierarchical Riesz bases of Lagrange type on Powell–Sabin triangulations
Keywords: 41A15; 65D07; 65N30; 65T60Hierarchical bases; Splines; C1C1 finite elements; Elliptic equations
ECT-B-splines defined by generalized divided differences
Keywords: 41A15; 41A05ECT-systems; ECT-B-splines; Generalized divided differences