Results 71 to 80 of about 6,277 (191)

Parallel Methods and Higher Dimensional NLS Equations

Abstract and Applied Analysis, 2013
Alternating direction implicit (ADI) schemes are proposed for the solution of the two-dimensional coupled nonlinear Schrödinger equation. These schemes are of second- and fourth-order accuracy in space and second order in time.
M. S. Ismail, T. R. Taha
doaj   +1 more source

Alternating direction implicit methods for parabolic equations with a mixed derivative [PDF]

Alternating direction implicit (ADI) schemes for two-dimensional parabolic equations with a mixed derivative are constructed by using the class of all A sub 0-stable linear two-step methods in conjunction with the method of approximation factorization ...
Beam, R. M., Warming, R. F.
core   +1 more source

On the fourth-order accurate compact ADI scheme for solving the unsteady Nonlinear Coupled Burgers' Equations

, 1998
The two-dimensional unsteady coupled Burgers' equations with moderate to severe gradients, are solved numerically using higher-order accurate finite difference schemes; namely the fourth-order accurate compact ADI scheme, and the fourth-order accurate Du
Adam Y., Adam Y., Arminjon P., Berger A.E., Celia M.A., Chen G., Ciment M., Dahlquist G.G., Datta Gupta A., Dennis S.C.R., EL-Naggar B.B., Fletcher C.J., Fried J.J., Gottlieb D., Gupta M.M., Gupta M.M., Harten A., Hirsh R.S., Jain P.C., Jain P.C., Johnson R.W., Lele S.K., Leonard B.P., Li M., Liniger W., Liu J., M J.H., Orszag S.A., Peaceman D.W., Richtmyer R.D., Rizun V.I., Rubin G., Sharif M.A.R., Shu C.W., Spotz W.F., Weinan E., Whitham G.B., Yavneh I., Yee H.C., Zhang J.   +39 more
core   +2 more sources

A three‐point compact LOD‐FDTD method for solving the 2D scalar wave equation

Microwave and Optical Technology Letters, Volume 66, Issue 5, May 2024.
Abstract This letter introduces an unconditionally stable finite‐difference time‐domain (FDTD) method, based on the locally one‐dimensional (LOD) technique, for the solution of the two‐dimensional scalar wave equation (WE) in homogeneous media. The second spatial derivatives in the WE are discretized by using a three‐point compact (implicit) finite ...
José A. Pereda, Ana Grande
wiley   +1 more source

An alternating direction implicit method for the Control Data STAR-100 vector computer [PDF]

An implementation of the alternating direction implicit (ADI) method for the Control Data STAR-100 computer is presented and analyzed. Two parallel algorithms, both of which are most efficient when used to solve many independent tridiagonal systems of ...
Lambiotte, J. J., Jr.
core   +1 more source

Additive domain decomposition operator splittings -- convergence analyses in a dissipative framework

, 2016
We analyze temporal approximation schemes based on overlapping domain decompositions. As such schemes enable computations on parallel and distributed hardware, they are commonly used when integrating large-scale parabolic systems.
Hansen, Eskil, Henningsson, Erik
core   +1 more source

Recruiting a prospective community cohort to study Alzheimer's disease and structural and social determinants of health among adults racialized as Black: The ARCHES cohort

Alzheimer's &Dementia: Translational Research &Clinical Interventions, Volume 10, Issue 2, April‐June 2024.
Abstract INTRODUCTION This ongoing, prospective study examines the effectiveness of methods used to successfully recruit and retain 238 Black older adults in a longitudinal, observational Alzheimer's disease (AD) study. METHODS Recruitment strategies included traditional media, established research registries, speaking engagements, community events ...
Alexis I. B. Walker, Jean‐Francois Trani, Christian F. Banks, Samantha A. Murphy, Wenqing Zha, Monique M. Williams, Gregory S. Day, Yiqi Zhu, Beau M. Ances, Carl V. Hill, Darrell L. Hudson, Ganesh M. Babulal   +11 more
wiley   +1 more source

Stability and conservation properties of transient field simulations using FIT [PDF]

Advances in Radio Science, 2003
Time domain simulations for high-frequency applications are widely dominated by the leapfrog timeintegration scheme. Especially in combination with the spatial discretization approach of the Finite Integration Technique (FIT) it leads to a highly ...
R. Schuhmann, T. Weiland
doaj  

A new parallel algorithm for solving parabolic equations

Advances in Difference Equations, 2018
In this paper, a new parallel algorithm for solving parabolic equations is proposed. The new algorithm includes two domain decomposition methods, each method is applied to compute the values at (n+1) $(n+1)$st time level by use of known numerical ...
Guanyu Xue, Hui Feng
doaj   +1 more source

Numerical study of supersonic turbulent flow over small protuberances [PDF]

Supersonic turbulent boundary layers over two-dimensional protuberances are investigated, using the numerical finite difference alternating direction implicit (ADI) method. The turbulence is modeled mathematically.
Polak, A., Werle, M. J.
core   +1 more source