Mathematics Scholarly Works: Recent submissions
Now showing items 201-220 of 283
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A Moving Mesh Method Based on the Geometric Conservation Law
(Society for Industrial and Applied Mathematics, 2002-01-01)A new adaptive mesh movement strategy is presented, which, unlike many existing moving mesh methods, targets the mesh velocities rather than the mesh coordinates. The mesh velocities are determined in a least squares ... -
Variational Mesh Adaptation Methods for Axisymmetrical Problems
(Society for Industrial and Applied Mathematics, 2003-01-01)We study variational mesh adaptation for axially symmetric solutions to two-dimensional problems. The study is focused on the relationship between the mesh density distribution and the monitor function and is carried out ... -
Convergence analysis of pseudospectral collocation methods for a singular differential equation
(Society for Industrial and Applied Mathematics, 2003-01-02)Solutions of partial differential equations with coordinate singularities often have special behavior near the singularities, which forces them to be smooth. Special treatment for these coordinate singularities is necessary ... -
Measuring mesh qualities and application to variational mesh adaptation
(Society for Industrial and Applied Mathematics, 2005-11-01)The mesh assessment problem is investigated in this paper by taking into account the shape and size of elements and the solution behavior. Three elementwise mesh quality measures characterizing the shape, alignment, and ... -
A moving mesh WENO method for one-dimensional conservation laws
(Society for Industrial and Applied Mathematics, 2012-10-01)In this paper, we develop an efficient moving mesh weighted essentially nonoscillatory (WENO) method for one-dimensional hyperbolic conservation laws. The method is based on the quasi-Lagrange approach of the moving mesh ... -
How a nonconvergent recovered Hessian works in mesh adaptation
(Society for Industrial and Applied Mathematics, 2014-01-01)Hessian recovery has been commonly used in mesh adaptation for obtaining the required magnitude and direction information of the solution error. Unfortunately, a recovered Hessian from a linear finite element approximation ... -
Conditioning of finite element equations with arbitrary anisotropic meshes
(American Mathematical Society, 2014-03-05)Bounds are developed for the condition number of the linear finite element equations of an anisotropic diffusion problem with arbitrary meshes. They depend on three factors. The first factor is proportional to a power of ... -
When is Jones' Space Normal?
(American Mathematical Society, 1975-07-01) -
The Character of omega 1 in First Countable Spaces
(American Mathematical Society, 1977-01-01) -
Some Spaces Related to Topological Inequalities Proven by the Erdös-Rado Theorem
(American Mathematical Society, 1978-09-01) -
An Axiom for Nonseparable Borel Theory
(American Mathematical Society, 1979-07-01) -
A TB Space Which is Not Katetov TB
(Rocky Mountain Mathematics Consortium, 1980-06-01) -
If all Normal Moore Spaces are Metrizable, then there is an Inner Model with a Measurable Cardinal
(American Mathematical Society, 1982-09-01) -
Left Separated Spaces with Point-Countable Bases
(American Mathematical Society, 1986-04-01) -
Stone-Cech remainder which make continuous images normal
(American Mathematical Society, 1989-07-01) -
On the calculation of mutual information
(Society for Industrial and Applied Mathematics, 1970-07-01) -
Adaptive boundary and point control of linear stochastic distributed parameter systems
(Society for Industrial and Applied Mathematics, 1994-05-01)An adaptive control problem for the boundary or the point control of a linear stochastic distributed parameter system is formulated and solved in this paper. The distributed parameter system is modeled by an evolution ... -
Ergodic boundary/point control of stochastic semilinear systems
(Society for Industrial and Applied Mathematics, 1998-05-01)A controlled Markov process in a Hilbert space and an ergodic cost functional are given for a control problem that is solved where the process is a solution of a parameter-dependent semilinear stochastic differential ... -
Discretized maximum likelihood estimates for adaptive control of ergodic Markov models
(Society for Industrial and Applied Mathematics, 1998-03-01)Three distinct controlled ergodic Markov models are considered here. The models are a discrete time controlled Markov process with complete observations, a controlled diffusion process with complete observations, and a ... -
Remarks on Souslin Properties and Tree Topologies
(American Mathematical Society, 1980-10-01)We investigate the relation of Souslin (antichain) properties of trees and tree topologies. One result extends a result of Devlin and Shelah by proving, within ZFC, the equivalence of four properties for <o,-trees-collectionwise ...