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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：D-finite Functions
D-finite Functions D 有限函数 有理函数系数 齐次线性微分方程
2023/4/27
D-finite functions are solutions of homogeneous linear differential equations with rational function coefficients. This is an important class of special functions since it appears ubiquitously in alge...
We derive an asymptotic for the rst moment of Hecke L-series associated to canonical qua- dratic characters. This provides another proof and slightly generalizes recent results by Masri and Kim-Masri...
Convolution powers of complex functions on Z。
Optimal Recovery of Holomorphic Functions from Inaccurate Information about Radial Integration
Approximation Optimal Recovery Holomorphic
2013/1/30
This paper addresses the optimal recovery of functions from Hilbert spaces of functions on the unit disc. The estimation, or recovery, is performed from inaccurate information given by integration alo...
Generating Functions of Multi-symplectic PRK Methods via DW Hamilton-Jacobi Equations
Multi-Symplectic Partitioned Runge-Kutta Methods Generating Functions DW
2012/8/7
In this paper we investigate Donder-Weyl (DW) Hamilton-Jacobi equations and establish the
connection between DW Hamilton-Jacobi equations and multi-symplectic Hamiltonian systems.
Based on the study...
Solving Systems of Transcendental Equations Involving the Heun Functions
Root-Finding Algorithm M¨1ller Algorithm TwoDimensional M¨1ller Algorithm Regge-Wheeler Equation Quasinormal Modes Teukolsky Master Equation
2013/1/30
The Heun functions have wide application in modern physics and are expected to succeed the hypergeometrical functions in the physical problems of the 21st century. The numerical work with those functi...
Nonstationary Wavelets Related to the Walsh Functions
Walsh Functions Nonstationary Dyadic Wavelets Fractal Functions Adapted Multiresolution Analysis
2013/1/30
Using the Walsh-Fourier transform, we give a construction of compactly supported nonstationary dyadic wavelets on the positive half-line. The masks of these wavelets are the Walsh polynomials defined ...
Numerical Solution of Obstacle Problems by B-Spline Functions
Least Square Method Uniform B-Splines Boundary Value Problems Obstacle Problems
2013/1/30
In this study, we use B-spline functions to solve the linear and nonlinear special systems of differential equations associated with the category of obstacle, unilateral, and contact problems. The pro...
Nudelman interpolation, parametrizations of lossless functions and balanced realizations
Parametrization Inner matrices Interpolation algorithms
2011/2/21
We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition.
An inequality for sums of binary digits, with application to Takagi functions
Takagi function Approximate convexity Digital sum inequality
2010/12/1
An inequality for sums of binary digits, with application to Takagi functions.
On the interpolation of discontinuous functions
Interpolation Discontinuous Functions Statistical Convergence Lerch
2010/12/7
Given a sequence of real numbers, we consider its subsequences con-verging to possibly different limits and associate to each of them an index of convergence which depends on the density of the associ...
B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness
Linear sampling algorithm Quasi-interpolant Quasi-interpolant representation
2010/12/10
Let = {xj}n j =1 be a grid of n points in the d-cube Id := [0, 1]d, and = {'j}n j=1 a family of n functions on Id. We define the linear sampling algorithm Ln(, , ·) for an approximate recovery o...
THE CALCULUS OF GENERATING FUNCTIONS AND THE FORMAL ENERGY FORHAMILTONIAN ALGORITHMS
enerating function calculus of generating functions Darboux transformation cotangent bundles Lagrangian submanifold invariance of generating function formal energy
2007/12/12
n [2--4], symplectic schemes of arbitrary order are constructed by
generating functions. However the construction of generating functions
is dependent on the chosen coordinates. One would like to ...
I.Introduction Source-free dynamical systems are of great importance in many branches of physics. A significant subject for such systems is to design "proper" numerical algorithms. Since the phase flo...
专著信息
书名
Characterization of smoothness of multivariate refinable functions and convergence algorithms of nonhomogeneous refinement equations
语种
英文
撰写或编译
作者
李松
第一作者单位
出版社
Advance in computational mathe...