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Quantized Partial Differential Equations
2004This book contains three chapters and two addenda. Quantized PDE's.I. In this first part we consider quantum (super) manifolds as topological spaces locally identified with open sets of some locally convex topological vector spaces built starting from suitable topological algebras $A$, \textit{quantum (super)algebras}.
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Parabolic partial differential equations
1995We now describe how to apply the finite element to parabolic partial differential equations. This is done by approximating the parabolic partial differential equation by either a sequence of ordinary differential equations or a sequence of elliptic partial differential equations.
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Deep relaxation: partial differential equations for optimizing deep neural networks
Research in the Mathematical Sciences, 2017Entropy-SGD is a first-order optimization method which has been used successfully to train deep neural networks. This algorithm, which was motivated by statistical physics, is now interpreted as gradient descent on a modified loss function. The modified,
P. Chaudhari +4 more
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Partial Differential Equations
Encyclopedia of Theoretical Ecology, 2018We consider the equations governing incompressible, viscous fluids in three space dimensions, rotating around an inhomogeneous vector B(x) : this is a generalization of the usual rotating fluid model (where B is constant).
Boris Zaltzman
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Differential games with partial differential equations
1975Examples of differential games are given, where the state equation is a partial differential equation. They can be solved explicitly and show clearly how the values of the control functions enter in the solution. This enables us to set up a method of solving these games, which should also be applied to more complicated differential games, complementing
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Journal of Systems Science and Complexity, 2020
Runfa Zhang, S. Bilige, T. Chaolu
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Runfa Zhang, S. Bilige, T. Chaolu
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Partial Differential Equations
2019The field of partial differential equations is arguably the workhorse of applied mathematics. While the field is steeped with a rich and fruitful history supporting volumes of research, our modest goal is to present a couple of the standard models and to show how to solve them with introductory methods.
Allen Holder, Joseph Eichholz
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A general memristor-based partial differential equation solver
Nature Electronics, 2018Mohammed Affan Zidan +6 more
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