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SIAMSC
2011
151views more  SIAMSC 2011»
12 years 11 months 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
SIAMSC
2011
110views more  SIAMSC 2011»
12 years 11 months ago
A Finite Element Method for Second Order Nonvariational Elliptic Problems
We propose a numerical method to approximate the solution of second order elliptic problems in nonvariational form. The method is of Galerkin type using conforming finite elements...
Omar Lakkis, Tristan Pryer
SIAMSC
2011
133views more  SIAMSC 2011»
12 years 11 months ago
On the Existence and the Applications of Modified Equations for Stochastic Differential Equations
In this paper we describe a general framework for deriving modified equations for stochastic differential equations with respect to weak convergence. Modified equations are deri...
K. C. Zygalakis
SIAMSC
2011
115views more  SIAMSC 2011»
12 years 11 months ago
A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves
A scheme is presented for the numerical solution of singular integral equations on piecewise smooth curves. It relies on several techniques: reduction, Nystr¨om discretization, co...
Johan Helsing
SIAMSC
2011
177views more  SIAMSC 2011»
12 years 11 months ago
Computing f(A)b via Least Squares Polynomial Approximations
Given a certain function f, various methods have been proposed in the past for addressing the important problem of computing the matrix-vector product f(A)b without explicitly comp...
Jie Chen, Mihai Anitescu, Yousef Saad
SIAMSC
2011
199views more  SIAMSC 2011»
12 years 11 months ago
On Efficient Numerical Approximation of the Bilinear Form c*A-1b
Zdenek Strakos, Petr Tichý
SIAMSC
2011
153views more  SIAMSC 2011»
12 years 11 months ago
Stable Computations with Gaussian Radial Basis Functions
Abstract. Radial basis function (RBF) approximation is an extremely powerful tool for representing smooth functions in non-trivial geometries, since the method is meshfree and can ...
Bengt Fornberg, Elisabeth Larsson, Natasha Flyer
SIAMSC
2011
142views more  SIAMSC 2011»
12 years 11 months ago
Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations
Abstract. In this paper, we propose new adaptive local refinement (ALR) strategies for firstorder system least-squares (FOSLS) finite element in conjunction with algebraic multi...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...