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Ritz-type projectors with boundary interpolation properties and explicit spline error estimates
In this paper we construct Ritz-type projectors with boundary interpolation properties in finite dimensional subspaces of the usual Sobolev space and...
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Efficient numerical schemes based on the cubic B-spline collocation method for time-fractional partial integro-differential equations of Volterra type
This paper proposes two efficient numerical schemes to deal with time-fractional integro-differential reaction-convection-diffusion equations of the...
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Dimensions of Tri-Quadratic \( C^1 \) Spline Spaces over Hierarchical 3D T-meshes
A 3D T-mesh is generally a cuboid grid which allows hanging vertices. Here, a hanging vertex is an interior vertex, but it is not a corner point of...
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Periodic Orthonormal Spline Systems with Arbitrary Knots as Bases in \(\boldsymbol{H}^{\mathbf{1}}\boldsymbol{(\mathbb{T})}\)
AbstractWe give a simple geometric characterization of sequences of knots for which the corresponding periodic orthonormal spline system of order
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Space–Time Methods Based on Isogeometric Analysis for Time-fractional Schrödinger Equation
In this paper, we propose a time discontinuous Galerkin scheme for solving the nonlinear time-fractional Schrödinger equation using B-splines in time...
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C1-Quartic Butterfly-Spline Interpolation on Type-1 Triangulations
In this paper, we construct and analyse C 1 quartic interpolating splines on type-1 triangulations, approximating regularly distributed data. This is...
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Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation
Optimal quadratic spline collocation (QSC) method has been widely used in various problems due to its high-order accuracy, while the corresponding...
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Cs-smooth isogeometric spline spaces over planar bilinear multi-patch parameterizations
The design of globally C s -smooth ( s ≥ 1) isogeometric spline spaces over multi-patch geometries with possibly extraordinary vertices, i.e. vertices...
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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...
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Completeness Characterization of Type-I Box Splines
We present a completeness characterization of box splines on three-directional triangulations, also called type-I box spline spaces, based on...
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A Population Dynamics Approach to the Distribution of Space Debris in Low Earth Orbit
The presence of the debris in the Earth’s orbit poses a significant risk to human activity in outer space. This debris population continues to grow...
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An efficient fourth order Hermite spline collocation method for time fractional diffusion equation describing anomalous diffusion in two space variables
Anomalous diffusion of particles in fluids is better described by the fractional diffusion models. A robust hybrid numerical algorithm for a...
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Hybrid cubic and hyperbolic b-spline collocation methods for solving fractional Painlevé and Bagley-Torvik equations in the Conformable, Caputo and Caputo-Fabrizio fractional derivatives
In this paper, we approximate the solution of fractional Painlevé and Bagley-Torvik equations in the Conformable (Co), Caputo (C), and...
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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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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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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...
