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Solving a nonlinear fractional Schrödinger equation using cubic B-splines
We study the inhomogeneous nonlinear time-fractional Schrödinger equation for linear potential, where the order of fractional time derivative...
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NURBS, Grundlage für Animationsfilme
Die Anbindung der mathematischen Ausbildung an die „Mathematik in unserer Welt“ wird mit Recht immer wieder gefordert. Oft scheinen die praktizierten...
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Simultaneous Approximation of Functions of two Variables and their Derivatives by Bilinear Interpolation Splines
We obtain a sharp error estimates of simultaneous approximation of functions of two variables and their partial derivatives by bilinear interpolation...
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Monotone Smoothing Splines with Bounds
The problem of monotone smoothing splines with bounds is formulated as a constrained minimization problem of the calculus of variations. Existence...
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Splinefunktionen
Im vorliegenden Kapitel wird die Interpolation von Punkten in der Ebene durch lineare beziehungsweise kubische Splines behandelt. Dabei handelt es...
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Differentiable Fractal Functions
This chapter presents the fractal patterns for types of fractal splines together with numerical simulations. In [1], Barnsley has discussed the...
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Isogeometric Analysis on Implicit Domains: Approximation, Stability and Error Estimates
The gap between finite element analysis and computer-aided design derives the development of isogeometric analysis (IGA), which uses the same...
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On a class of L-splines of order 4: fast algorithms for interpolation and smoothing
In this paper a special class of one-dimensional L -splines of order 4 is studied, which naturally appear in the computation of interpolation and...
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Splines of Variable Approximation Order and Their Wavelet Decompositions
We construct spline (finite element) spaces of variable approximation order and find necessary and sufficient conditions for pseudosmoothness of such...
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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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\(C^2\) Tension Splines Construction Based on a Class of Sixth-Order Ordinary Differential Equations
In this work, we construct a class of Hermite-type interpolation basis functions based on the sixth-order ordinary differential equation
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A coupled scheme based on uniform algebraic trigonometric tension B-spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations
In this article, high temporal and spatial resolution schemes are combined to solve the Camassa-Holm and Degasperis-Procesi equations. The...
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Shortest multi-wavelet matrix filters for refinable vector splines
In multi-wavelet decomposition techniques for the analysis of a given vector-valued signal, it is desirable with respect to the computational...
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Study of the Convergence of Interpolation Processes with Splines of Even Degree
We study the convergence of interpolation processes by Subbotin polynomial splines of even degree. We prove that the good conditionality of a system...
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Numerical Solutions of Bivariate Nonlinear Integral Equations with Cardinal Splines
The main objective of this work is to develop an efficient technique for solving bivariate linear or nonlinear Volterra integral equations. The...
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The local integro splines with optimized knots
This paper presents a new approach to optimize knots of local integro splines that approximate given function integrals. The problem of computing...
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On Approximation by Hyperbolic Splines
The paper considers the minimal hyperbolic splines and their properties. Formulas for constructing quadratic splines and the corresponding...
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Using Oshima Splines to Produce Accurate Numerical Results and High Quality Graphical Output
We illustrate the use of Oshima splines in producing high-quality
