Results 31 to 40 of about 39,621 (275)

Gaussian quadrature rules and A-stability of Galerkin schemes for ODE

International Journal of Mathematics and Mathematical Sciences, 2003
The A-stability properties of continuous and discontinuous Galerkin methods for solving ordinary differential equations (ODEs) are established using properties of Legendre polynomials and Gaussian quadrature rules. The influence on the A-stability of the
Ali Bensebah, François Dubeau, Jacques Gélinas   +2 more
doaj   +1 more source

A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient

Arab Journal of Mathematical Sciences, 2016
In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection ...
V. Subburayan
doaj   +1 more source

Tensor distributions on signature-changing space-times [PDF]

, 1997
Irregularities in the metric tensor of a signature-changing space-time suggest that field equations on such space-times might be regarded as distributional.
Dray, Tevian, Hartley, David, Tucker, Robin W., Tuckey, Philip A.   +3 more
core   +2 more sources

On the Spatiotemporal Pattern Formation in Nonlinear Coupled Reaction–Diffusion Systems

Axioms, 2023
Nonlinear coupled reaction–diffusion (NCRD) systems have played a crucial role in the emergence of spatiotemporal patterns across various scientific and engineering domains.
Satyvir Singh, Ahmed Hussein Msmali
doaj   +1 more source

Instability of Turing patterns in reaction-diffusion-ODE systems

, 2016
The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations.
Karch, Grzegorz, Marciniak-Czochra, Anna, Suzuki, Kanako   +2 more
core   +1 more source

Analysis of the shearing instability in nonlinear convection and magnetoconvection [PDF]

, 1996
Numerical experiments on two-dimensional convection with or without a vertical magnetic field reveal a bewildering variety of periodic and aperiodic oscillations.
A M Rucklidge, Arnéodo A, Beyn W-J, Brownjohn D P, Brummell N, Champneys A R, Chandrasekhar S, Chui A Y K, Deardorff J W, Dellnitz M, Doedel E, Glendinning P, Glendinning P, Glendinning P, Glendinning P, Golubitsky M, Guckenheimer J, Howard L N, Hughes D W, Knobloch E, Krishnamurti R, Lythe G D, Massaguer J M, Matthews P C, Matthews P C, Moore D R, P C Matthews, Proctor M R E, Proctor M R E, Proctor M R E, Proctor M R E, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rüdiger G, Shil'nikov A L, Sparrow C, Tabeling P, Weiss N O, Willis G E   +41 more
core   +1 more source

Analysis of Finite Solution Spaces of Second-Order ODE with Dirac Delta Periodic Forcing

Axioms, 2023
Second-order Ordinary Differential Equations (ODEs) with discontinuous forcing have numerous applications in engineering and computational sciences.
Susmit Bagchi
doaj   +1 more source

Blue Sky Catastrophe in Systems with Non-classical Relaxation Oscillations

Моделирование и анализ информационных систем, 2015
The feasibility of a known blue-sky bifurcation in a class of three-dimensional singularly perturbed systems of ordinary differential equations with one fast and two slow variables is studied.
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov   +2 more
doaj   +1 more source

Periodic Orbits for a Discontinuous Vector Field Arising from a Conceptual Model of Glacial Cycles

, 2015
Conceptual climate models provide an approach to understanding climate processes through a mathematical analysis of an approximation to reality. Recently, these models have also provided interesting examples of nonsmooth dynamical systems.
Hahn, Jonathan, McGehee, Richard, Walsh, James, Widiasih, Esther   +3 more
core   +1 more source

Solution Continuation on a Discontinuity Set

Моделирование и анализ информационных систем, 2016
The movement of an object characterized by ordinary differential equations (ODE) with discontinuous right-hand sides along the surface of a gap is called a sliding mode. It is required to find the connection of the right-slip characteristics of the system (
A. M. Tsirlin
doaj   +1 more source