Results 11 to 20 of about 171 (44)

On transcendental numbers

open access: yes, 2014
Transcendental numbers play an important role in many areas of science. This paper contains a short survey on transcendental numbers and some relations among them.
Nichita, Florin F.
core   +2 more sources

ANALYSIS OF TWO PARAREAL ALGORITHMS FOR TIME-PERIODIC PROBLEMS ∗ [PDF]

open access: yes, 2013
. The parareal algorithm, which permits us to solve evolution problems in a time parallel fashion, has created a lot of attention over the past decade. The algorithm has its roots in the multiple shooting method for boundary value problems, which in the ...
Bo Song   +3 more
core   +2 more sources

Harnack inequalities and discrete - continuum error estimates for a chain of atoms with two - body interactions [PDF]

open access: yes, 2008
International audienceIn the three-dimensional euclidean space, we consider deformations of an infinite linear chain of atoms where each atom interacts with all others through a two-body potential.
Benguria, Rafael   +2 more
core   +3 more sources

Error estimates for the Euler discretization of an optimal control problem with first-order state constraints [PDF]

open access: yes, 2017
International audienceWe study the error introduced in the solution of an optimal control problem with first order state constraints, for which the trajectories are approximated with a classical Euler scheme.
Bonnans, Joseph Frederic, Festa, Adriano
core   +2 more sources

Spectral Decay of Time and Frequency Limiting Operator

open access: yes, 2014
For fixed $c,$ the Prolate Spheroidal Wave Functions (PSWFs) $\psi_{n, c}$ form a basis with remarkable properties for the space of band-limited functions with bandwidth $c$. They have been largely studied and used after the seminal work of D. Slepian, H.
Bonami, Aline, Karoui, Abderrazek
core   +2 more sources

Advancing analytical solutions: Novel wave insights and methodologies for beta fractional Kuralay-II equations

open access: yesDemonstratio Mathematica
This article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
doaj   +1 more source

A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]

open access: yes, 2018
In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar   +2 more
core   +2 more sources

Two combined methods for the global solution of implicit semilinear differential equations with the use of spectral projectors and Taylor expansions

open access: yes, 2019
Two combined numerical methods for solving semilinear differential-algebraic equations (DAEs) are obtained and their convergence is proved. The comparative analysis of these methods is carried out and conclusions about the effectiveness of their ...
Filipkovska, M. S.
core   +1 more source

Higher order numerical methods for solving fractional differential equations [PDF]

open access: yes, 2013
The final publication is available at Springer via http://dx.doi.org/10.1007/s10543-013-0443-3In this paper we introduce higher order numerical methods for solving fractional differential equations. We use two approaches to this problem.
C. Lubich   +21 more
core   +1 more source

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

open access: yesDemonstratio 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

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