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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On polynomial method and its application（III）
多项式方法 多项式划分 关联几何
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2023/5/10
We will introduce the polynomial partitioning method which has wide applications in incidence geometry, geometric measure theory, and harmonic analysis. In the first course, we will present some basic...
AN IMPROVED INTERFEROMETRIC CALIBRATION METHOD BASED ON INDEPENDENT PARAMETER DECOMPOSITION
Geometric calibration Interferometric calibration Three-dimensional reconstruction model Sensitivity analysis Independent parameter decomposition
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2018/5/11
Interferometric SAR is sensitive to earth surface undulation. The accuracy of interferometric parameters plays a significant role in precise digital elevation model (DEM). The interferometric calibrat...
A fast method for approximating invariant manifolds
method invariant manifolds
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2015/8/25
The task of constructing higher-dimensional invariant manifolds for dynamical systems can
be computationally expensive. We demonstrate that this problem can be locally reduced to
solving a system of...
Fast Geodesics Computation with the Phase Flow Method
Geodesics weighted geodesics geodesic flow the phase flow method manifolds tangent bundles charts surface parameterization spline interpolation
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2015/6/17
This paper introduces a novel approach for rapidly computing a very large number of geodesics on a smooth surface. The idea is to apply the recently developed phase flow method [15], an efficient and ...
On the electron scattering on the one-dimensional complexes: the vertex array method
electron scattering one-dimensional complexes vertex array method
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2011/2/21
The problem of electron scattering on the one-dimensional complexes is considered. We present a novel theoretical approach to solution of the transport problem for a quantum graph.
A Vector Field Method Approach to Improved Decay for Solutions to the Wave Equation on a Slowly Rotating Kerr Black Hole
Vector Field Method Approach Improved Decay for Solutions Wave Equation Kerr Black Hole
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2010/12/15
We prove that sufficiently regular solutions to the wave equation gK = 0 on the exterior of a sufficiently slowly rotating Kerr black hole obey the estimates || C(t)−3
2 + on a compact r...
Generalized Newton's Method based on Graphical Derivatives
nonsmooth equations optimization and variational analysis Newton’s method
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2010/11/29
This paper concerns developing a numerical method of the Newton type to solve systems of nonlinear equations described by nonsmooth continuous functions. We propose and justify
a new generalized Newt...
DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systems
Drazin-inverse DGMRES Krylov subspace Itera-tive method Eigenvector
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2010/12/10
The DGMRES method for solving Drazin-inverse solution of sin-gular linear systems is generally used with restarting. But the restarting often slows down the convergence and DGMRES often stagnates.
Ulam method and fractal Weyl law for Perron--Frobenius operators
Ulam method fractal Weyl law Perron--Frobenius operators
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2010/4/7
We use the Ulam method to study spectral properties of the Perron-Frobenius operators of dynamical maps in a chaotic regime. For maps with absorption we show that the spectrum is characterized by the ...
Visually Dynamic Presentation of Proofs in Plane Geometry Part 1. Basic Features and the Manual Input Method
Geometry theorem proving Visually dynamic presentation of proof Dynamic geometry Unordered geometry Gelernter Java Geometry Expert Morley’s theorem Feuerbach’s theorem Pythagorean theorem Pedal triangle
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2013/9/9
With dynamic mediums such as computer displays, we propose a new kind of visually dynamic presentation of proofs in plane geometry. In asingle diagram for the proof, when the proof text goes on step b...
$P_1$-nonconforming Quadrilateral Finite Volume Element Method and Its Cascadic Multigrid Algorithm
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2007/12/12
In this paper, we discuss the finite volume element
method of $P_1$-nonconforming quadrilateral element for elliptic
problems and obtain optimal error estimates for general
quadrilateral partition....
An efficient method for computing hyperbolic systems with geometrical source terms having concentrations,
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2007/7/28
专著信息
书名
An efficient method for computing hyperbolic systems with geometrical source terms having concentrations,
语种
英文
撰写或编译
作者
S. Jin,X. Wen
第一作者单位
出版社
J. Computational Mathematics 22, 230-249, 2004...
A new method in Fano geometry
method Fano geometry
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2010/10/29
We give some bounds on the anticanonical degrees of Fano varieties with Picard number 1 and mild singularities, extending results of Koll\'ar et al. from the early 90's and improving them even in the ...
Automated Reasoning in Dierential Geometry and Mechanics Using Characteristic Method 1 III. Mechanical Formula Derivation
Automated Reasoning Dierential Geometry Mechanics Characteristic Method Mechanical Formula Derivation
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2013/9/9
In this paper, methods of mechanical deriving of formulas from a set of di®erential polynomial equations and a set of di®erential polynomial inequations are presented. The methods have been ...