Results 1 to 10 of about 26,290 (93)

A Survey on Continuous Time Computations [PDF]

open access: yes, 2007
We provide an overview of theories of continuous time computation. These theories allow us to understand both the hardness of questions related to continuous time dynamical systems and the computational power of continuous time analog models.
A Ben-Hur   +138 more
core   +5 more sources

A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]

open access: yes, 2011
The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$.
Abraham R.   +79 more
core   +4 more sources

Multi-Adaptive Time-Integration [PDF]

open access: yes, 2004
Time integration of ODEs or time-dependent PDEs with required resolution of the fastest time scales of the system, can be very costly if the system exhibits multiple time scales of different magnitudes.
Alexander   +28 more
core   +2 more sources

Local discontinuous Galerkin methods for fractional ordinary differential equations [PDF]

open access: yes, 2014
This paper discusses the upwinded local discontinuous Galerkin methods for the one-term/multi-term fractional ordinary differential equations (FODEs).
Deng, Weihua, Hesthaven, Jan S.
core   +2 more sources

Robust learning with implicit residual networks

open access: yes, 2020
In this effort, we propose a new deep architecture utilizing residual blocks inspired by implicit discretization schemes. As opposed to the standard feed-forward networks, the outputs of the proposed implicit residual blocks are defined as the fixed ...
Reshniak, Viktor, Webster, Clayton
core   +1 more source

Globally nilpotent differential operators and the square Ising model

open access: yes, 2008
We recall various multiple integrals related to the isotropic square Ising model, and corresponding, respectively, to the n-particle contributions of the magnetic susceptibility, to the (lattice) form factors, to the two-point correlation functions and ...
Bostan, A.   +5 more
core   +3 more sources

Efficient simulation of DC-DC switch-mode power converters by multirate partial differential equations

open access: yes, 2018
In this paper, Multirate Partial Differential Equations (MPDEs) are used for the efficient simulation of problems with 2-level pulsed excitations as they often occur in power electronics, e.g., DC-DC switch-mode converters.
Gyselinck, Johan   +3 more
core   +1 more source

Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system

open access: yes, 2010
Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant non-Lie ans\"atze to reduce the classical Lotka-Volterra
Cherniha, Roman, Davydovych, Vasyl'
core   +1 more source

Symmetry and Conservation Laws in Semiclassical Wave Packet Dynamics [PDF]

open access: yes, 2015
We formulate symmetries in semiclassical Gaussian wave packet dynamics and find the corresponding conserved quantities, particularly the semiclassical angular momentum, via Noether's theorem.
Ohsawa, Tomoki
core   +1 more source

Equivalence of variational problems of higher order [PDF]

open access: yes, 2010
We show that for n>2 the following equivalence problems are essentially the same: the equivalence problem for Lagrangians of order n with one dependent and one independent variable considered up to a contact transformation, a multiplication by a nonzero ...
Doubrov, Boris, Zelenko, Igor
core   +2 more sources

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