## Search

Now showing items 11-20 of 32

#### Recycling BICG with an application to model reduction

(Siam Publications, 2012)

Science and engineering problems frequently require solving a sequence of dual linear systems. Besides having to store only a few Lanczos vectors, using the biconjugate gradient method (BiCG) to solve dual linear systems ...

#### A state space error estimate for pod-deim nonlinear model reduction

(Siam Publications, 2012)

This paper derives state space error bounds for the solutions of reduced systems constructed using proper orthogonal decomposition (POD) together with the discrete empirical interpolation method (DEIM) recently developed ...

#### A general convergence analysis of some Newton-type methods for nonlinear inverse problems

(Siam Publications, 2011)

We consider the methods x(n+1)(delta) - x(n)(delta) - g(alpha n) (F'(x(n)(delta))* F'(x(n)(delta)))F'(x(n)(delta))*(F(x(n)(delta)) - y(delta)) for solving nonlinear ill-posed inverse problems F(x) = y using the only available ...

#### A regularized Gauss-Newton trust region approach to imaging in diffuse optical tomography

(Siam Publications, 2011)

We present a new algorithm for the solution of nonlinear least squares problems arising from parameterized imaging problems with diffuse optical tomographic data [D. Boas et al., IEEE Signal Process. Mag., 18 (2001), pp. ...

#### Structured noncommutative multidimensional linear systems

(Siam Publications, 2005)

We introduce a class of multidimensional linear systems with evolution along a free semigroup. The transfer function for such a system is a formal power series in noncommuting indeterminates. Standard system-theoretic ...

#### Transfer function approach to output specification in certain linear distributed parameter systems

(American Institute of Mathematical Sciences, 2003)

We carry out error estimation of a class of immersed finite element (IFE) methods for elliptic interface problems with both perfect and imperfect interface jump conditions. A key feature of these methods is that their ...

#### Sufficient conditions and perfect duality in nonconvex minimization with inequality constraints

(American Institute of Mathematical Sciences, 2005-02)

The paper studies forced surface waves on an incompressible, inviscid fluid in a two-dimensional channel with a small negative or oscillatory bump on a rigid flat bottom. Such wave motions are determined by a non-dimensional ...

#### A uniqueness result for p-Monotone viscosity solutions of Hamilton-Jacobi equations in bounded domains

(Siam Publications, 2009)

We consider a class of Hamilton-Jacobi equations H(x, Du(x)) - 0 with no u-dependence and with continuity properties consistent with recent applications in queueing theory. Continuous viscosity solutions are considered in ...

#### A finite element splitting extrapolation for second order hyperbolic equations

(Siam Publications, 2009)

Splitting extrapolation is an efficient technique for solving large scale scientific and engineering problems in parallel. This article discusses a finite element splitting extrapolation for second order hyperbolic equations ...

#### Nonlinear Integral Inequalities in Two Independent Variables and Their Applications

(Hindawi Publishing Corporation, 2007-11-05)

This paper generalizes results of Cheung and Ma (2005) to more general inequalities with more than one distinct nonlinear term. From our results, some results of Cheung and Ma ( 2005) can be deduced as some special cases. ...