Zobrazeno 1 - 10
of 55
pro vyhledávání: '"D. M. Sloan"'
Publikováno v:
Nature Geoscience. 6:770-774
Sediment grains in rivers are often bound together and stabilized by bacterial films. Experiments and mathematical models show that sediments bound by biofilms behave like a single elastic membrane that can rip catastrophically if the river flows fas
Autor:
D. M. Sloan
Publikováno v:
SIAM Journal on Numerical Analysis. 42:30-48
In this paper we give integral expressions for the elements of the inverses of second-order pseudospectral differentiation matrices. Simple upper bounds are given for the maximum norms of these inverse matrices when Chebyshev collocation points are u
Publikováno v:
Journal of Computational Physics. 182:478-495
Numerical experiments are described which illustrate some important features of the performance of moving mesh methods for solving two-dimensional partial differential equations (PDEs). Here we are concerned with algorithms based on moving mesh metho
Autor:
D. M. Sloan, A. W. Lang
Publikováno v:
Journal of Computational and Applied Mathematics. 140:499-520
A coordinate transformation approach is described that enables Hermite collocation methods to be applied efficiently in one space dimension to steady and unsteady differential problems with steep solutions. The work is an extension of earlier work by
Publikováno v:
Journal of Computational Physics. 167:372-392
Numerical experiments are described that illustrate some important features of the performance of moving mesh methods for solving one-dimensional partial differential equations (PDEs). The particular method considered here is an adaptive finite diffe
Publikováno v:
Scopus-Elsevier
Adaptive grid methods are becoming established as valuable computational techniques for the numerical solution of differential equations with near-singular solutions. Adaptive methods are equally effective in approximating solutions of problems with
Autor:
D M, Sloan, J S, Mizes
Publikováno v:
Clinical Psychology Review. 19:255-274
The purpose of this review article is to provide an overview of behavior therapy. Both historical and contemporary perspectives will be addressed. Particular attention will be given to description of behavioral treatment interventions. Description of
Autor:
D. M. Sloan, Y. Qui
Publikováno v:
Journal of Computational and Applied Mathematics. 101:1-25
Over the last few years there has been a significant growth in the use of adaptive grid methods for the numerical solution of differential equations with steep solutions. Little has been done, however, on the error analysis of adaptive methods. In th
Autor:
D. M. Sloan, Y. Qiu
Publikováno v:
Journal of Computational Physics. 146:726-746
The paper investigates the viability of using moving mesh methods to simulate travelling wave solutions of Fisher's equation. Results are presented that illustrate the weaknesses in moving mesh methods based on equidistribution of some popular monito
Publikováno v:
Journal of Computational Physics. 131:280-298
A coordinate transformation approach is described that enables pseudospectral methods to be applied efficiently to unsteady differential problems with steep solutions. The work is an extension of a method presented by Mulholland, Huang, and Sloan for