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Interactive Design of Cubic IPH Spline Curves
Indirect Pythagorean hodographs (IPH) spline curves are a set of curves which have rational Pythagorean hodographs after reparameterization by a...
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A Certified Cubic B-Spline Interpolation Method with Tangential Direction Constraints
Curve interpolation with B-spline is widely used in various areas. This problem is classic and recently raised in application scenario with new...
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Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants
This article is devoted to introducing new spline quasi-interpolants for the sharp approximation of data in one and several dimensions. The new...
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Globally optimal univariate spline approximations
We revisit the problem of computing optimal spline approximations for univariate least-squares splines from a combinatorial optimization perspective....
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Exact penalty method for knot selection of B-spline regression
This paper presents a new approach to selecting knots at the same time as estimating the B-spline regression model. Such simultaneous selection of...
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A spline smoothing homotopy method for nonlinear programming problems with both inequality and equality constraints
In this paper, we construct a new spline smoothing homotopy method for solving general nonlinear programming problems with a large number of...
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Order-Optimal Spline Methods for Solving Singular Integro-Differential Equations
AbstractA linear integro-differential equation with a singular differential operator in the principal part is studied. For its approximate solution...
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The quartic Catmull–Rom spline with local adjustability and its shape optimization
Parametric interpolatory curves play a vital part in geometric modeling. Cubic Catmull–Rom spline is a well-known tool for constructing parametric...
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Adaptive and local regularization for data fitting by tensor-product spline surfaces
We propose to employ a non-constant regularization weight function (RWF) for data fitting via least-squares tensor-product (TP) spline fitting. In...
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Numerical solution of one-dimensional nonlinear Sine–Gordon equation using LOOCV with exponential B-spline
In this paper, the one-dimensional nonlinear Sine–Gordon equation is solved using the “Exponential modified cubic B-spline differential quadrature...
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Shape Preserving Conditions for Integro Quadratic Spline Interpolation in the Mean
Earlier, Yu. N. Subbotin considered the problem of interpolation in the mean, where the interpolated values of the function are replaced by mean...
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Control point reduction for lofted B-spline surface interpolation based on serial closed contours
Modern shape design and capture techniques usually present geometric data in serial rows of data points, where the number of data points varies from...
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B-Spline Method for Spatio-Temporal Inverse Model
Inverse models can be used to estimate surface fluxes in terms of the observed atmospheric concentration measurement data. This paper proposes a new...
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On spline quasi-interpolation through dimensions
The approximation of functions and data in one and high dimensions is an important problem in many mathematical and scientific applications....
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Parametric quintic spline for time fractional Burger’s and coupled Burgers’ equations
In this paper, the numerical solutions of time fractional Burger’s and coupled Burgers’ equations are obtained using the parametric quintic spline...
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On Rational Spline Solutions of Differential Equations with Singularities in the Coefficients of the Derivatives
AbstractFor one generalization of the Riemann differential equation, we obtain sufficient conditions for the approximability by twice continuously...
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Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation
We use trivariate spline functions for the numerical solution of the Dirichlet problem of the 3D elliptic Monge-Ampére equation. Mainly we use the...
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Non-polynomial Cubic Spline Method for Three-Dimensional Wave Equation
The scientific community has always been showing deep concern towards partial differential equations (PDEs) and to approximate its numerical...
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A High Order Numerical Scheme for Time-Fractional Telegraph Equation Via Cubic Spline in Tension
In this work, we examine the numerical solution of the time-fractional telegraph equation by applying a higher-order numerical scheme via the tension...
