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» On Popovski's method for nonlinear equations
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MP
2011
14 years 7 days ago
An interior-point piecewise linear penalty method for nonlinear programming
We present an interior-point penalty method for nonlinear programming (NLP), where the merit function consists of a piecewise linear penalty function (PLPF) and an 2-penalty functi...
Lifeng Chen, Donald Goldfarb
JUCS
2010
134views more  JUCS 2010»
14 years 7 months ago
Newton Method for Nonlinear Dynamic Systems with Adaptive Time Stepping
Abstract: This paper presents a nonlinear solver based on the Newton-Krylov methods, where the Newton equations are solved by Krylov-subspace type approaches. We focus on the solut...
Wensheng Shen, Changjiang Zhang, Jun Zhang, Xiaoqi...
AMC
2005
148views more  AMC 2005»
14 years 9 months ago
Review of model order reduction methods for numerical simulation of nonlinear circuits
In this paper, we reviewed several newly presented nonlinear model order reduction methods, we analyze these methods theoretically and with experiments in detail. We show the prob...
Lihong Feng
FOCM
2011
90views more  FOCM 2011»
14 years 27 days ago
Hamiltonian Interpolation of Splitting Approximations for Nonlinear PDEs
We consider a wide class of semi linear Hamiltonian partial differential equations and their approximation by time splitting methods. We assume that the nonlinearity is polynomia...
Erwan Faou, Benoît Grebert