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中国地质大学科学技术发展院左博新，胡祥云*等，计算机学院，Geophysical Research Letters （2020），Downward Continuation and Transformation of Total‐Field Magnetic Anomalies Into Magnetic Gradient Tensors Between Arbitrary Surfaces Using Multilayer Equivalent Sources
资源勘探；等效源方法；磁测；数据；下延拓；磁梯度；张量；转换计算
2021/10/15
近日，地球物理著名期刊《Geophysical Research Letters》正式刊发了中国地质大学胡祥云教授团队研究成果 -“Downward continuation and transformation of total-field magnetic anomalies into magnetic gradient tensors between arbitrary surfaces u...
Conditioned Likelihoods Using Bifurcation Continuation in Inverse Modeling of Dynamical Systems
Conditioned Likelihoods Bifurcation Continuation Inverse Modeling Dynamical Systems
2012/11/23
The Morris-Lecar (ML) model has applications to neuroscience and cognition. A simple network consisting of a pair of synaptically coupled ML neurons can exhibit a wide variety of deterministic behavio...
Unique continuation for a quasilinear elliptic equation in the plane
Dead core Harnack inequality maximum principle nodal domain p-Laplacian p-harmonic quasilinear elliptic equation
2012/6/27
We consider planar solutions to certain quasilinear elliptic equations subject to the Dirichlet boundary conditions. We show that if the boundary data has finite number of relative maxima and minima t...
Nonlinear-damping continuation of the nonlinear Schrodinger equation - a numerical study
Nonlinear-damping continuation nonlinear Schrodinger equation Analysis of PDEs
2011/9/13
Abstract: We study the nonlinear-damping continuation of singular solutions of the critical and supercritical NLS. Our simulations suggest that for generic initial conditions that lead to collapse in ...
Unique continuation and approximate controllability for a degenerate parabolic equation
degenerate parabolic equations unique continuation approximate controllability local Carleman estimate
2011/9/13
Abstract: This paper studies unique continuation for weakly degenerate parabolic equations in one space dimension. A new Carleman estimate of local type is obtained to deduce that all solutions that v...
Functor of continuation in Hilbert cube and Hilbert space
Hilbert cube Hilbert space Functor of continuation General Topology
2011/8/29
Abstract: A $Z$-set in a metric space $X$ is a closed subset $K$ of $X$ such that each map of the Hilbert cube $Q$ into $X$ can uniformly be approximated by maps of $Q$ into $X \setminus K$. The aim o...
Numerical Continuation of resonances and bound states in coupled channel Schrödinger equations
Resonances Numerical Continuation Coupled Channels Schr¨odinger equation
2011/1/17
In this contribution, we introduce numerical continuation methods and bifurcation theory, techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter de...
On the bifurcation and continuation of periodic orbits in the three-body problem
three body problem (TBP) periodic orbits bifurcations
2010/12/28
We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits.
Analytic continuation of functions along parallel algebraic curves
Analytic continuation functions along parallel algebraic curves
2010/11/11
In this work we study a problem about analytic continuation along parallel algebraic curves
Hamilton--Jacobi theory for continuation of magnetic field across a toroidal surface supporting a plasma pressure discontinuity
Hamilton--Jacobi theory magnetic field toroidal surface
2010/4/2
The vanishing of the divergence of the total stress tensor (magnetic plus kinetic) in a neighborhood of an equilibrium plasma containing a toroidal surface of discontinuity gives boundary and jump con...
Homotopy Continuation Method of Arbitrary Order of Convergence for Solving the Hyperbolic Form of Kepler’s Equation
Homotopy method hyperbolic Kepler’s equation initial value problem orbit determination
2009/5/12
In this paper, an efficient iterative method of arbitrary integer
order of convergence ≥ 2 has been established for solving the hyperbolic
form of Kepler’s equation. The method is of a dynamic natur...
CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS
Continuation method Urysohn equation h
2007/12/17
In this paper a continuation method for the Urysohn nonlinear equation is to be established by the use of a homotopy transformation, and the homotopy equation will result in the Cauchy problem of a di...
ON THE UNIQUE CONTINUATION PROPERTIES FOR ELLIPTIC OPERATORS WITH SINGULAR POTENTIALS
doubling property unique continuation Lipschitz domain Kato--Fefferman--Phong s potential
2007/12/11
Let $u$ be a solution to a second order elliptic equation with singular potentials belonging to Kato--Fefferman--Phong's class in Lipschitz domains. An elementary proof of the doubling property for $u...
A Continuation Algorithm for Max-Cut Problem 连续化方法求解最大割问题
最大割 NCP 函数 凸函数 增广Lagrange 乘子罚函数方法
2007/12/11
本文给出一种求最大割问题最优解的新方法--连续化方法, 方法完全不同于目前使用的松弛算法, 方法通过对最大割问题利用互补(NCP)函数进行连续化, 给出了最大割问题等价的连续模型, 连续化方法不仅不增加问题的维数，而且还是等价变换. 论文给出了连续模型的增广拉格朗日乘子罚函数以便用乘子罚函数法求解, 不同于一般最优化问题的增广拉格朗日乘子函数只在最优解的一个邻域内在罚因子充分大时是凸的, 本文提出...
Homotopy Continuation Method of Arbitrary Order of Convergence for Solving the Hyperbolic Form of Kepler’s Equation
hyperbolic Kepler’s equation initial value problem orbit determination
2010/9/16
In this paper, an efficient iterative method of arbitrary integer order of convergence ≥ 2 has been established for solving the hyperbolic form of Kepler’s equation. The method is of a dynamic nature ...