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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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Fitted operator method for parabolic singularly perturbed convection-diffusion problems via polynomial cubic spline
This article introduces a new fitted operator method for singularly perturbed parabolic convection-diffusion having right boundary layer. We...
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Polynomial and Spline Interpolation
We determine to given interpolation points (x i, y i) a polynomialp with p(x i) = y i. We find this polynomial by evaluating Lagrange’s interpolation...
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An Integrative Approach for Analysis of Nonlinear Electrical Circuits Using-Polynomial B-Spline Expansion and B-Spline Krawczyk Operator
This paper addresses the problem of finding a set of all direct current (DC) operating points of a nonlinear circuit, which is a crucial step in its...
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Composite Quantile Estimation in Partial Functional Linear Regression Model Based on Polynomial Spline
In this paper, we consider composite quantile regression for partial functional linear regression model with polynomial spline approximation. Under...
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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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Fractal non-polynomial spline method for the solution of fourth-order boundary value problems in plate deflection theory
A new technique using fractal non-polynomial spline is formulated for approximating the solution of certain fourth-order two-point boundary value...
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Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers’ equations numerically
This paper proposes two numerical approaches for solving the coupled nonlinear time-fractional Burgers’ equations with initial or boundary conditions...
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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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Positivity Preserving Rational Quartic Spline Zipper Fractal Interpolation Functions
In this paper, we introduce a class of novel \(C^1\)...
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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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Uncertainty Quantification of Stochastic Epidemic SIR Models Using B-spline Polynomial Chaos
Real-life epidemic situations are modeled using systems of differential equations (DEs) by considering deterministic parameters. However, in reality,...
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Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension
Polynomial splines are ubiquitous in the fields of computer-aided geometric design and computational analysis. Splines on T-meshes, especially, have...
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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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Numerical Differentiation by the Polynomial-Exponential Basis
AbstractOur objective is to calculate the derivatives of data corrupted by noise. This is a challenging task as even small amounts of noise can...
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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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Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms
In this work we extend some ideas about greedy algorithms, which are well-established tools for, e.g., kernel bases, and exponential-polynomial...
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The Unimodality of Initial B-Spline Approximations in Spline Fitting
Finding optimal knots is a challenging problem in spline fitting due to a lack of prior knowledge regarding optimal knots. The unimodality of initial...
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Space Map** of Spline Spaces over Hierarchical T-meshes
In this paper, we construct a bijective map** between a biquadratic spline space over the hierarchical T-mesh and the piecewise constant space over...
