Moment preserving spline approximation finite intervals and Chakalov-Popoviciu quadratures.
Moment-Preserving Spline Approximation on Finite Intervals.
Monosplines and inequalities for the remainder term of quadrature formulas.
Monotonicity and Error Bounds in Schemes of Romberg Type for the Computation of f(n) (0) by Central Differences and Extrapolation.
Monotonicity of Quadrature Formulae of Gauss Type and Comparison Theorems for Monosplines.
Monotony in Interpolatory Quadratures.
More Curved Spirolaterals
Morley finite element analysis for fourth-order elliptic equations under a semi-regular mesh condition
We present a precise anisotropic interpolation error estimate for the Morley finite element method (FEM) and apply it to fourth-order elliptic equations. We do not impose the shape-regularity mesh condition in the analysis. Anisotropic meshes can be used for this purpose. The main contributions of this study include providing a new proof of the term consistency. This enables us to obtain an anisotropic consistency error estimate. The core idea of the proof involves using the relationship between...
Multi regional state space systems -- controller design and stability
Multichannel deblurring of digital images
Blur is a common problem that limits the effective resolution of many imaging systems. In this article, we give a general overview of methods that can be used to reduce the blur. This includes the classical multi-channel deconvolution problems as well as challenging extensions to spatially varying blur. The proposed methods are formulated as energy minimization problems with specific regularization terms on images and blurs. Experiments on real data illustrate very good and stable performance of...
Multidimensional smoothing using hyperbolic interpolatory wavelets.
Multiple root finder algorithm for Legendre and Chebyshev polynomials via Newton's method.
Multiple Zeros and Applications to Optimal Linear Functionals.
Multiple-Precision Correctly rounded Newton-Cotes quadrature
Numerical integration is an important operation for scientific computations. Although the different quadrature methods have been well studied from a mathematical point of view, the analysis of the actual error when performing the quadrature on a computer is often neglected. This step is however required for certified arithmetics. We study the Newton-Cotes quadrature scheme in the context of multiple-precision arithmetic and give enough details on the algorithms and the error bounds to enable software...
Multivariate approximation theory with -splines
Multivariate Birkhoff-Lagrange interpolation schemes and Cartesian sets of nodes.
Multivariate smooth interpolation that employs polyharmonic functions
We study the problem of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomial terms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational example...
Multivariate spline functions, B-spline bases and polynomial interpolations II
Natural and smoothing quadratic spline. (An elementary approach)
For quadratic spine interpolating local integrals (mean-values) on a given mesh the conditions of existence and uniqueness, construction under various boundary conditions and other properties are studied. The extremal property of such's spline allows us to present an elementary construction and an algorithm for computing needed parameters of such quadratic spline smoothing given mean-values. Examples are given illustrating the results.
Natural Spline Functions, Their Associated Eigenvalue Problem.