Results 1 to 10 of about 27,423 (132)

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

, 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

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
core   +3 more sources

Rosenbrock-Krylov Methods for Large Systems of Differential Equations

, 2014
This paper develops a new class of Rosenbrock-type integrators based on a Krylov space solution of the linear systems. The new family, called Rosenbrock-Krylov (Rosenbrock-K), is well suited for solving large scale systems of ODEs or semi-discrete PDEs ...
Sandu, Adrian, Tranquilli, Paul
core   +1 more source

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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Solvable Structures Associated to the Nonsolvable Symmetry Algebra $\mathfrak{sl}(2,\mathbb{R})$ [PDF]

, 2016
Third-order ordinary differential equations with Lie symmetry algebras isomorphic to the nonsolvable algebra $\mathfrak{sl}(2,\mathbb{R})$ admit solvable structures.
Muriel, Concepción, Ruiz, Adrián
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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
core   +1 more source

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
core   +1 more source

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

Reductions of Gauss-Codazzi equations

, 2016
We prove that conformally parametrized surfaces in Euclidean space $\Rcubec$ of curvature $c$ admit a symmetry reduction of their Gauss-Codazzi equations whose general solution is expressed with the sixth Painlev\'e function.
Conte, Robert, Grundland, A. Michel
core   +1 more source