Results 1 to 10 of about 27,230 (113)

A Survey on Continuous Time Computations [PDF]

, 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, A Ben-Hur, A Ben-Hur, A Ben-Hur, A Kempe, A Rabinovich, A Turing, A Vergis, A. Church, APL Francisco, Asarin, B Trakhtenbrot, BJ Copeland, C Moore, C Moore, C Moore, C Moore, CE Shannon, CS Calude, D Dee, D Deutsch, D Graça, D Woods, DS Graça, DS Graça, E Asarin, E Asarin, E Asarin, E Post, EB Davies, G Etesi, G Lafferriere, G P ăun, H Abdi, HM Stoll, HT Siegelmann, HT Siegelmann, HT Siegelmann, I Artobolevskii, I Németi, J Earman, J Foy, J Mycka, J Mycka, J Mycka, J Mycka, J Šíma, J Šíma, JF Costa, JJ Hopfield, JJ Hopfield, JV Tucker, K Ruohonen, K Ruohonen, K Ruohonen, K Ruohonen, K Ruohonen, K Ruohonen, K Weihrauch, K-I Ko, K-I Ko, L Blum, L Faybusovich, L Faybusovich, L Lipshitz, LA Rubel, LA Rubel, LM Adleman, M Campagnolo, M Campagnolo, M Casey, M Casey, M Davis, M Gori, M Hogarth, M Hogarth, M Hoyrup, M Pour-El, MB Pour-El, MB Pour-El, MB Pour-El, MD Bowles, ML Campagnolo, ML Campagnolo, ML Hogarth, MO Rabin, MS Branicky, MS Branicky, N Müller, O Bournez, O Bournez, O Bournez, O Bournez, O Bournez, O. Finkel, P Bouyer, P Clote, P Collins, P Koiran, P Koiran, P Koiran, P Orponen, P Orponen, PW Shor, R Alur, R Alur, R Legenstein, RJ Lipton, RW Brockett, RW Brockett, S Aaronson, S Grigorieff, S Omohundro, S. C. Kleene, T Brihaye, T Brihaye, T Head, T Natschläger, TA Henzinger, TD Kieu, U Helmke, V Bush, VD Blondel, VD Blondel, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, WD Smith, Šíma   +138 more
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A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]

, 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., Angenent S. B., Angenent S. B., Angenent S. B., Anosov D. V., Arroyo A., Bendixson I., Bonatti C., Bonatti C., Bonatti C., Brunovský P., Brunovský P., Brunovský P., Brunovský P., Chen X.-Y., Crovisier S., Czaja R., Dancer E. N., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fusco G., Fusco G., Fusco G., Fusco G., Galaktianov V. A., GENEVIÈVE RAUGEL, Ghrist R. W., Guckenheimer J., Hale J. K., Hale J. K., Hardt R., Hayashi S., Henry D., Henry D. B., Hirsch M. W., Hirsch M. W., Hirsch M. W., Hirsch M. W., Jolly M., Joly R., Joly R., Joly R., Mallet-Paret J., Matano H., Matano H., Matano H., Newhouse S. E., Nickel K., Nitecki Z., Palis J., Peixoto M. M., Peixoto M. M., Poláčik P., Poláčik P., Poláčik P., Poláčik P., Prizzi M., Pugh C. C., Pugh C. C., Pugh C. C., Pujals E. R., Robinson C., Robinson J. C., Rocha C., Rocha C., ROMAIN JOLY, Ruelle D., Sandstede B., Smale S., Smale S., Smale S., Smale S., Smillie J., Smith H. L., Smith H. L., Sturm C., Wolfrum M.   +79 more
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Multi-Adaptive Time-Integration [PDF]

, 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, Anders Logg, Butcher, Dave, Dawson, Delfour, Eriksson, Eriksson, Eriksson, Eriksson, Eriksson, Eriksson, Eriksson, Estep, Estep, Estep, Estep, Flaherty, Gear, Gustafsson, Hairer, Hairer, Johnson, Logg, Makino, Osher, Shampine, Söderlind, Verwer   +28 more
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Robust learning with implicit residual networks

, 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

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

, 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

Integrable systems and modular forms of level 2 [PDF]

, 2006
A set of nonlinear differential equations associated with the Eisenstein series of the congruent subgroup $\Gamma_0(2)$ of the modular group $SL_2(\mathbb{Z})$ is constructed. These nonlinear equations are analogues of the well known Ramanujan equations,
Ablowitz, Mark J, Chakravarty, Sarbarsh, Hahn, Heekyoung   +2 more
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Exponential-Krylov methods for ordinary differential equations

, 2014
This paper develops a new class of exponential-type integrators where all the matrix exponentiations are performed in a single Krylov space of low dimension.
Sandu, Adrian, Tranquilli, Paul
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Globally nilpotent differential operators and the square Ising model

, 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., Boukraa, S., Hassani, S., Maillard, J. -M., Weil, J. -A., Zenine, N.   +5 more
core   +3 more sources

BRST analysis of general mechanical systems

, 2013
We study the groups of local BRST cohomology associated to the general systems of ordinary differential equations, not necessarily Lagrangian or Hamiltonian.
A.A. Sharapov, Agrachev, Alexandrov, Barnich, Barnich, Barnich, Barnich, Barnich, Barnich, Batalin, Cattaneo, D.S. Kaparulin, Fuchs, Grigoriev, Henneaux, Henneaux, Kaparulin, Kaparulin, Kazinski, Kosmann-Schwarzbach, Lada, Lyakhovich, Lyakhovich, Lyakhovich, Lyakhovich, Maclane, Retakh, S.L. Lyakhovich, Seiler, Voronov   +29 more
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From duality to determinants for q-TASEP and ASEP [PDF]

, 2012
We prove duality relations for two interacting particle systems: the $q$-deformed totally asymmetric simple exclusion process ($q$-TASEP) and the asymmetric simple exclusion process (ASEP).
Borodin, Alexei, Corwin, Ivan, Sasamoto, Tomohiro   +2 more
core   +1 more source