Results 11 to 20 of about 63 (58)

Adiabatic integrators for highly oscillatory second order linear differential equations with time-varying eigendecomposition [PDF]

, 2005
. Numerical integrators for second order differential equations with time-dependent high frequencies are proposed and analysed. We derive two such methods, called the adiabatic midpoint rule and the adiabatic Magnus method. The integrators are based on a
Lubich, Ch., Katina Lorenz, Tobias Jahnke, Christian Lubich, Lorenz, K., Jahnke, T.   +5 more
core   +1 more source

Stability and convergence analysis on Shishkin mesh for a nonlinear singularly perturbed problem with three-point boundary condition

, 2021
The present study is conducted on finite difference method in Shishkin piecewise uniform mesh in a singularly perturbed boundary value problem for a nonlinear differential equation.
Arslan, Derya
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Uniform Approximation and Explicit Estimates for the Prolate Spheroidal Wave Functions

, 2015
International audienceFor xed c, Prolate Spheroidal Wave Functions (PSWFs), denoted by ψ n,c , form an orthogonal basis with remarkable properties for the space of band-limited functions with bandwith c.
Karoui, Abderrazek, Bonami, Aline
core   +1 more source

Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential

Demonstratio Mathematica
In this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
doaj   +1 more source

Robust monotone three-term spectral conjugate gradient method for solving convex-constrained system of equations

Franklin Open
A robust three-term spectral conjugate gradient method for large-scale convex-constrained monotone system of equations is presented in this paper.
Yusuf Muhammad Kufena, Mohammed Yusuf Waziri, Abubakar Sani Halilu, Muhammad Kabir Dauda   +3 more
doaj   +1 more source

The Partition of Unity Method for the Elastically Supported Beam

, 1998
The partition of unity method (PUM) is used to solve the Timoshenko beam with elastic support. Some important features of this new method are addressed, but the main concern is to overcome locking and boundary layer.
Ivo Babuska, Zhimin Zhang
core   +1 more source

Spectral decay of time and frequency limiting operator

, 2014
To appear in Applied and Computational Harmonic ...
Karoui, Abderrazek, Bonami, Aline
core   +1 more source

Stiff Oscillatory Systems, Delta Jumps and White Noise [PDF]

, 1999
Two model problems for stiff oscillatory systems are introduced. Both comprise a linear superposition of N >> 1 harmonic oscillators used as a forcing term for a scalar ODE.
A.M. Stuart, E. Süli, J.O. Warren, B. Cano   +3 more
core  

Stiff Oscillatory Systems, Delta Jumps and White Noise

, 2001
Two model problems for stiff oscillatory systems are introduced. Both comprise a linear superposition of N AE 1 harmonic oscillators used as a forcing term for a scalar ODE.
E. Suli, Cano Stuart, B. Cano
core  

Analysis of membrane locking in hp FEM for a cylindrical shell

, 2007
In this paper we analyze the performance of the hp\GammaFinite Element Method for a cylindrical shell problem. Our theoretical investigations show that the hp approximation converges exponentially, provided that boundary layers stemming from the edge ...
A. M. Matache, C. Schwab, K. Gerdes
core