Results 1 to 10 of about 102,975 (203)

Stable finite difference method for fractional reaction–diffusion equations by compact implicit integration factor methods [PDF]

Advances in Difference Equations, 2021
In this paper we propose a stable finite difference method to solve the fractional reaction–diffusion systems in a two-dimensional domain. The space discretization is implemented by the weighted shifted Grünwald difference (WSGD) which results in a stiff
Rongpei Zhang, Mingjun Li, Bo Chen, Liwei Zhang   +3 more
doaj   +5 more sources

Compact Implicit Integration Factor Method for the Nonlinear Dirac Equation [PDF]

Discrete Dynamics in Nature and Society, 2017
A high-order accuracy numerical method is proposed to solve the (1+1)-dimensional nonlinear Dirac equation in this work. We construct the compact finite difference scheme for the spatial discretization and obtain a nonlinear ordinary differential system.
Jing-Jing Zhang, Xiang-Gui Li, Jing-Fang Shao   +2 more
doaj   +3 more sources

Compact implicit integration factor method for two-dimensional space-fractional advection-diffusion-reaction equations

Journal of Physics: Conference Series, 2020
AbstractIn this paper, we intend to develop an effective numerical method to solve a class of two-dimensional space-fractional advection-diffusion-reaction equations. After spatially discretizing this equation using the fractional centered difference formula, it leads to a system of nonlinear ordinary differential equations.
Huanyan Jian, Tingzhu Huang, Xianming Gu, Yongliang Zhao   +3 more
openaire   +1 more source

Generalized, energy-conserving numerical simulations of particles in general relativity. II. Test particles in electromagnetic fields and GRMHD [PDF]

, 2019
Direct observations of compact objects, in the form of radiation spectra, gravitational waves from VIRGO/LIGO, and forthcoming direct imaging, are currently one of the primary source of information on the physics of plasmas in extreme astrophysical ...
Bacchini, Fabio, Porth, Oliver, Ripperda, Bart, Sironi, Lorenzo   +3 more
core   +3 more sources

A compact finite difference method for reaction–diffusion problems using compact integration factor methods in high spatial dimensions

Advances in Difference Equations, 2018
This paper proposes and analyzes an efficient compact finite difference scheme for reaction–diffusion equation in high spatial dimensions. The scheme is based on a compact finite difference method (cFDM) for the spatial discretization.
Rongpei Zhang, Zheng Wang, Jia Liu, Luoman Liu   +3 more
doaj   +1 more source

Do Finite-Size Lyapunov Exponents Detect Coherent Structures? [PDF]

, 2013
Ridges of the Finite-Size Lyapunov Exponent (FSLE) field have been used as indicators of hyperbolic Lagrangian Coherent Structures (LCSs). A rigorous mathematical link between the FSLE and LCSs, however, has been missing. Here we prove that an FSLE ridge
Haller, George, Karrasch, Daniel
core   +1 more source

Supersymmetry breaking, open strings and M-theory [PDF]

, 1998
We study supersymmetry breaking by Scherk-Schwarz compactifications in type I string theory. While in the gravitational sector all mass splittings are proportional to a (large) compactification radius, supersymmetry remains unbroken for the massless ...
Antoniadis, I., Dudas, E., Sagnotti, A.
core   +2 more sources

Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes [PDF]

, 2016
A variety of gravitational dynamics problems in asymptotically anti-de Sitter (AdS) spacetime are amenable to efficient numerical solution using a common approach involving a null slicing of spacetime based on infalling geodesics, convenient exploitation
Chesler, Paul M., Yaffe, Laurence G.
core   +2 more sources

An iterative semi-implicit scheme with robust damping

, 2008
An efficient, iterative semi-implicit (SI) numerical method for the time integration of stiff wave systems is presented. Physics-based assumptions are used to derive a convergent iterative formulation of the SI scheme which enables the monitoring and ...
Ascher, Axelson, Aydemir, Baker, Birn, Biskamp, Boyd, Breslau, Caramana, Chacón, Chacón, Dungey, Durran, Frey, Furth, G.W. Hammett, Glasser, Grasso, Gustafsson, Hammett, Harned, Harned, Harned, Hastie, Kleva, Knoll, Knoll, Kozlov, Lee, Lionello, Loureiro, Malyshkin, N.F. Loureiro, Priest, Reynolds, Robert, Rogers, Rogers, Ruuth, Saad, Schep, Schnack, Snyder, Sovinec, Strang, Strauss, Sweet, Tang, Tatsuno, Tokman, Xiao, Yokoyama   +51 more
core   +1 more source

The subconvexity problem for $\GL_{2}$ [PDF]

, 2010
Generalizing and unifying prior results, we solve the subconvexity problem for the $L$-functions of $\GL_{1}$ and $\GL_{2}$ automorphic representations over a fixed number field, uniformly in all aspects.
A. Good, A. Gorodnik, A. I. Oksak, A. Ichino, A. Ichino, A. Ivić, A. Reznikov, A. Venkatesh, Akshay Venkatesh, C. J. Bushnell, C. Moeglin, D. A. Burgess, D. Prasad, D. R. Heath-Brown, D. Zagier, E. Kowalski, G. Harcos, H. Iwaniec, H. Iwaniec, H. Jacquet, H. Jacquet, H. Kim, H. Oh, H. Weyl, H. Y. Loke, I. N. Bernšteĭn, J. Arthur, J. Arthur, J. Bernstein, J. Friedlander, J. Hoffstein, J. Liu, J.-L. Waldspurger, L. Clozel, L. Clozel, M. Cowling, M. Einsiedler, M. Jutila, M. Jutila, N. Burq, N. V. Kuznetsov, P. Sarnak, Ph. Michel, Ph. Michel, Ph. Michel, Philippe Michel, S. Gelbart, S. Gelbart, T. Meurman, V. Blomer, V. Blomer, V. Blomer, V. Blomer, W. Duke, W. Duke, W. Duke, W. Luo, W. Müller, Y. Motohashi, É. Fouvry   +59 more
core   +3 more sources