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» On Popovski's method for nonlinear equations
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AMC
2006
105views more  AMC 2006»
13 years 5 months ago
Stable numerical methods for conservation laws with discontinuous flux function
We develop numerical methods for solving nonlinear equations of conservation laws with flux function that depends on discontinuous coefficients. Using a relaxation approximation, ...
Mohammed Seaïd
AMC
2008
81views more  AMC 2008»
13 years 5 months ago
On Steepest-Descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations
We investigate modified steepest descent methods coupled with a loping Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We sh...
A. De Cezaro, Markus Haltmeier, Antonio Leit&atild...
IJCM
2002
84views more  IJCM 2002»
13 years 5 months ago
A Two-Stage Iterative Method for Solving a Weakly Nonlinear Parametrized System
In this paper we consider a parametrized system of weakly nonlinear equations which corresponds to a nonlinear elliptic boundary
Emanuele Galligani
SIAMSC
2011
151views more  SIAMSC 2011»
13 years 7 days ago
Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
Xiao-Chuan Cai, Xuefeng Li
AMC
2008
83views more  AMC 2008»
13 years 5 months ago
Some one-parameter families of third-order methods for solving nonlinear equations
In this paper, two one-parameter families of irrational and rational iterative methods for solving nonlinear equations are constructed. The construction of the iterative process i...
Dongdong Jiang, Danfu Han