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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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MOC
2010
13 years 2 months ago
Dynamical systems method for solving nonlinear equations with monotone operators
A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper. An a posteriori stopp...
N. S. Hoang, Alexander G. Ramm
SIAMSC
2011
133views more  SIAMSC 2011»
13 years 2 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
ICANN
2011
Springer
12 years 10 months ago
Learning Curves for Gaussian Processes via Numerical Cubature Integration
This paper is concerned with estimation of learning curves for Gaussian process regression with multidimensional numerical integration. We propose an approach where the recursion e...
Simo Särkkä
SIAMSC
2010
130views more  SIAMSC 2010»
13 years 5 months ago
Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
The radiative transfer equation (RTE) occurs in a wide variety of applications. In this paper, we study discrete-ordinate discontinuous Galerkin methods for solving the RTE. The nu...
Weimin Han, Jianguo Huang, Joseph A. Eichholz
JCPHY
2011
85views more  JCPHY 2011»
12 years 10 months ago
A fast method for the solution of the Helmholtz equation
In this paper, we consider the numerical solution of the Helmholtz equation, arising from the study of the wave equation in the frequency domain. The approach proposed here diffe...
Eldad Haber, Scott MacLachlan