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2017 Workshop on Spline Approximation and its Applications
2017 Workshop Spline Approximation and its Applications
2017/11/24
Spline functions are polynomials that are cut into pieces with care. Although spline functions date back to work of Euler and Bernoulli, it was Iso Schoenberg who began to study them in earnest. In la...
三亚国际数学论坛：Eigenvalue Problems:Theory,Approximation,and Applications
三亚国际数学论坛 Eigenvalue Problems Theory Approximation Applications
2017/7/3
Eigenvalue problems arise in many scientific and engineering applications. They are also important in emerging areas such as big data analysis. For example, eigenvalues (or singular values) can be use...
三亚国际数学论坛：From Approximation Theory to Real World Applications
三亚国际数学论坛 Approximation Theory Real World Applications
2017/7/3
Classical approximation theory, including polynomial approximation and splines etc., is a fundamental research area in applied mathematics. Development in approximation theory plays an important role ...
A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations
Electromagnetic scattering Yee grid finite difference methods perfectly matched layers LDLT factorizations multifrontal method wave propagation in inhomogeneous and anisotropic media matrix preconditioners
2015/7/14
This paper is concerned with the fast iterative solution of linear systems arising from finite difference discretizations in electromagnetics. The sweeping preconditioner with moving perfectly matched...
We consider the problem of constructing a wave extrapolation operator in a variable and possibly anisotropic medium. Our construction involves Fourier transforms in space combined with the help of a l...
Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation
Numerical solutions Body waves Seismic anisotropy Computational seismology Wave propagation Acoustic properties
2015/7/14
We introduce a novel finite-difference (FD) approach for seismic wave extrapolation in time.We derive the coefficients of the finite-difference operator from a lowrank approximation of the space-waven...
New Ties between Computational Harmonic Analysis and Approximation Theory
Computational Harmonic Analysis Approximation Theory
2015/6/17
Is the connection between approximation theory and harmonic analysis genuine? This question may seem a little provocative,especially in light of the recent literature about the significant interaction...
International Conference on Learning and Approximation
International Conference Learning and Approximation
2014/11/14
The main objective of this conference is to bring together mathematicians and scientists world-wide interested in learning and approximation in the broadest sense. Topics include approximation theory,...
Uniform approximation of a class of multivariable trigonometric interpolation polynomials in Euclidean space
triangle summation operator uniform convergence
2010/9/25
To improve the uniform convergence of the classical Lagrange operators of several variables, we construct a new operator with a class of summation factors. It is proved that the new operator converges...
Existence and approximation of solutions for nonlocal boundary value problems with mixed nonlinearities
Quasilinearization three-point boundary value problem
2010/9/20
In this paper, we study a second-order boundary value problem involving mixed nonlinearities in the differential equation and nonlinear nonlocal general three-point boundary conditions. We develop a g...
On the degree of approximation of functions from Lipschitz classes
degree approximation functions Lipschitz classes
2010/9/10
On the degree of approximation of functions from Lipschitz classes.
Some modified extragradient approximation methods for variational inequality problems and equilibrium problems of nonexpansive mappings
Nonexpansive mappings Monotone L-Lipschitz continuous mapping
2010/9/13
In this paper, we introduce a modified extragradient approximation method for finding the common element of the set of fixed points of nonexpansive mapping, the set of solutions of an equilibrium prob...
Inequalities for convolution ratios under local approximation
Inequalities Convolution ratios Local limit theorems
2010/9/14
This paper studies preservation of the convolution property under locally approximating functions for sums of independent random variables. Upper and lower bounds for limits of convolution ratios are ...
An approximation for the activity duration distribution, supporting original PERT
PERT Beta distribution Project management
2010/9/17
The Program Evaluation and Review Technique (PERT) has been widely used as a tool for project management. In PERT analysis the activity time distribution is assumed to be a beta distribution, and the ...
Closed form approximation solutions for the restricted circular three body problem
Lambert’s wave function spherically symmetric masses
2009/1/8
An approach is developed to find approximate solutions to the restricted
circular three body problem. The solution is useful in approximately describing
the position vectors of three spherically sym...