Results 31 to 40 of about 120,633 (286)
Stable, Explicit, Leapfrog-Hopscotch Algorithms for the Diffusion Equation
Computation, 2021 In this paper, we construct novel numerical algorithms to solve the heat or diffusion equation. We start with 105 different leapfrog-hopscotch algorithm combinations and narrow this selection down to five during subsequent tests.
Ádám Nagy +5 more
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A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling [PDF]
, 2017 In this work, we derive particle schemes, based on micro-macro decomposition, for linear kinetic equations in the diffusion limit. Due to the particle approximation of the micro part, a splitting between the transport and the collision part has to be ...
Crestetto, Anaïs +2 more
core +5 more sources
Krylov Implicit Integration Factor Methods for Semilinear Fourth-Order Equations
Mathematics, 2017 Implicit integration factor (IIF) methods were developed for solving time-dependent stiff partial differential equations (PDEs) in literature. In [Jiang and Zhang, Journal of Computational Physics, 253 (2013) 368–388], IIF methods are designed to ...
Michael Machen, Yong-Tao Zhang
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A cutoff phenomenon in accelerated stochastic simulations of chemical kinetics via flow averaging (FLAVOR-SSA) [PDF]
, 2010 We present a simple algorithm for the simulation of stiff, discrete-space, continuous-time Markov processes. The algorithm is based on the concept of flow averaging for the integration of stiff ordinary and stochastic differential equations and ...
Basil Bayati +7 more
core +2 more sources
Numerical solution of differential algebraic equations (DAEs) by mix-multistep method [PDF]
, 2013 Differential Algebraic Equations (DAEs) are regarded as stiff Ordinary Differential Equations (ODEs). Therefore they are solved using implicit method such as Backward Differentiation Formula (BDF) type of methods which require the use of Newton iteration
Ibrahim, Zarina Bibi +2 more
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Mahony's intriguing stiff equations [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1999 Professor John Mahony, F.A.A., was a talented and unusual Australian applied mathematician (cf. Fowkes and Silberstein [6]), trained in Manchester in the early 1950s under James Lighthill and Richard Meyer. He may be best remembered today for his early work on multiple scales ([8]), for the soliton equation named after him and his collaborators Brooke ...
openaire +1 more source
Electromagnetic Field in Some Anisotropic Stiff Fluid Universes [PDF]
, 1995 The electromagnetic field is studied in a family of exact solutions of the Einstein equations whose material content is a perfect fluid with stiff equation of state (p = $\epsilon $ ).
O, Pimentel L
core +2 more sources
Mathematics, 2020 Recently, block backward differentiation formulas (BBDFs) are used successfully for solving stiff differential equations. In this article, a class of hybrid block backward differentiation formulas (HBBDFs) methods that possessed A –stability are ...
Zarina Bibi Ibrahim +1 more
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Buckling of swelling gels [PDF]
, 2005 The patterns arising from the differential swelling of gels are investigated experimentally and theoretically as a model for the differential growth of living tissues.
A. Boudaoud +25 more
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A-Stable High Order Hybrid Linear Multistep Methods for Stiff Problems
Journal of Algorithms & Computational Technology, 2014 This paper considers a new class of high order hybrid linear multistep methods for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs).
R. I. Okuonghae
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