Results 1 to 10 of about 80,100 (119)
Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation. [PDF]
Proc Math Phys Eng Sci, 2020 Zhang ZY.
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Weak SINDy for partial differential equations [PDF]
Journal of Computational Physics, 2021 Sparse Identification of Nonlinear Dynamics (SINDy) is a method of system discovery that has been shown to successfully recover governing dynamical systems from data (Brunton et al., PNAS, '16; Rudy et al., Sci. Adv. '17). Recently, several groups have independently discovered that the weak formulation provides orders of magnitude better robustness to ...
Daniel A. Messenger, David M. Bortz
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Arithmetic partial differential equations, I
Advances in Mathematics, 2010 Updated version of paper includes new results on ...
Buium, Alexandru, Simanca, Santiago R.
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Particles to partial differential equations parsimoniously [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021 Equations governing physico-chemical processes are usually known at microscopic spatial scales, yet one suspects that there exist equations, e.g., in the form of partial differential equations (PDEs), that can explain the system evolution at much coarser, meso-, or macroscopic length scales.
Hassan Arbabi, Ioannis G. Kevrekidis
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Developmental Partial Differential Equations [PDF]
2015 54th IEEE Conference on Decision and Control (CDC), 2015 In this paper, we introduce the concept of Developmental Partial Differential Equation (DPDE), which consists of a Partial Differential Equation (PDE) on a time-varying manifold with complete coupling between the PDE and the manifold's evolution.
Pouradier Duteil, Nastassia +3 more
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Renormalizing partial differential equations [PDF]
, 2008 In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic equations. We discuss many applications, including the stability of profiles and fronts in the Ginzburg-Landau equation,
Bricmont, J., Kupiainen, A.
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SYMMETRIES OF PARTIAL DIFFERENTIAL EQUATIONS [PDF]
Journal of the Korean Mathematical Society, 2003 We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure.
Gaussier, Hervé, Merker, Joel
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Monomiality and partial differential equations
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Dattoli +3 more
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Implicit Partial Differential Equations [PDF]
, 1999 Progress in Nonlinear Differential Equations and their Applications ...
B. DACOROGNA, MARCELLINI, PAOLO
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On the Coalgebra of Partial Differential Equations.
, 2019 We note that the coalgebra of formal power series in commutative variables is final in a certain subclass of coalgebras. Moreover, a system Sigma of polynomial PDEs, under a coherence condition, naturally induces such a coalgebra over differential polynomial expressions.
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