Results 1 to 10 of about 26,029 (108)

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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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
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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
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Feedback Stabilization Methods for the Numerical Solution of Systems of Ordinary Differential Equations [PDF]

, 2008
In this work we study the problem of step size selection for numerical schemes, which guarantees that the numerical solution presents the same qualitative behavior as the original system of ordinary differential equations, by means of tools from ...
Ch. Tsitouras, George Psihoyios, Iasson Karafyllis, Lars Grüne, Theodore E. Simos   +4 more
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On numerical methods for highly oscillatory problems in circuit simulation [PDF]

, 2009
We propose in this paper a novel technique for an efficient numerical approximation of systems of highly oscillatory ordinary differential equations. In particular, we consider electronic systems subject to modulated signals.
Alfredo Deaño, Arieh Iserles, Bo Hu Li, Kornel Maczyński, Marissa Condon, Tao Xu   +5 more
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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
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Efficient simulation of DC-DC switch-mode power converters by multirate partial differential equations

, 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, Pels, Andreas, Sabariego, Ruth V., Schöps, Sebastian   +3 more
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Rigorous Multiple-Precision Evaluation of D-Finite Functions in SageMath [PDF]

, 2016
We present a new open source implementation in the SageMath computer algebra system of algorithms for the numerical solution of linear ODEs with polynomial coefficients.
Mezzarobba, Marc
core   +3 more sources