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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dynamic Learning and Modelling of Nonlinear Spatio-Temporal Network Data: theory with an application to the EU energy markets
非线性 时空网络数据 动态学习 建模
2023/4/28
Nonlinear modelling of dynamic spatio-temporal network data is often a challenge with various issues, in particular due to irregularly observed locations and location-wide non-stationarity. In this pa...
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...
NONLINEAR GALERKIN METHOD FOR STEADY NONLINEAR DIFFERENTIAL EQUATIONS
Nonlinear Galerkin method nonlinear par
2007/12/10
摘要 A nonlinear Galerkin method using spectral expansions is presented for the steady nonlinear partial differential equations. We prove the existence, uniqueness and convergence of the numerical solut...
In this paper, a necessary condition for the existence of any weakly consistent estimator is presented in exponential family nonlinear models. Then we give one more necessary condition for a consisten...
DIAGNOSTICS FOR NONLINEAR REGRESSION MODEL WITH WEIGHTING OR TRANSFORMATION
Box-Cox transformation case-deletion mo
2007/8/7
In this paper, we propose several diagnostic measures for assessing the influence of an individual case and small perturbations on the transformation power estimator and the variance function estimato...
A SUPERLINEAR CONVERGENT FEASIBLE METHOD FOR NONLINEAR PROGRAMMING WITH NONLINEAR CONSTRAINTS
Constrained optimization successive qua
2007/8/7
A new feasible algorithm is proposed for the minimization of a continuously differentiable function subject to inequality constraints. This algorithm only needs to solve one quadratic programming subp...
ON A LINEAR EQUATIONS METHOD OF NONLINEAR POLYNOMIAL EQUATIONS-SOLVING
Equations-solving nonlinear methods cha
2007/8/7
A method for solving nonlinear polynomial equations is given which avoids the appearance of redundant factors as in the previous characteristic set method developed by the present author. The new meth...
A PRIORI L~2 ERROR ESTIMATES FOR GALERKIN METHODS FOR NONLINEAR SOBOLEV EQUATIONS
Error estimates Galerkin method Sobole
2007/8/7
In this paper we study Galerkin approximations to the solution of the nonlinear Sobolev equation c(u)u_t=▽·{a(u)▽u_t+b(u)▽u}+f(u) in two spatial dimensions and derive optimal L~2 error estimates for t...