Results 11 to 20 of about 1,551,677 (306)
High-precision quantum algorithms for partial differential equations [PDF]
Quantum, 2020 Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description.
Andrew M. Childs +2 more
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Novel Bäcklund Transformations for Integrable Equations
Mathematics, 2022 In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors.
Pilar Ruiz Gordoa, Andrew Pickering
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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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Solving Partial Differential Equations Using Deep Learning and Physical Constraints
Applied Sciences, 2020 The various studies of partial differential equations (PDEs) are hot topics of mathematical research. Among them, solving PDEs is a very important and difficult task.
Yanan Guo +3 more
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Advances in Mathematical Physics, 2021 This article comprehensively and systematically expounds the development trends and basic theory of partial differential methods, analyzes the characteristics of sampling multiscale transformation in detail, and deeply studies the network image denoising
Yang Zhang
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Q-measure-valued solution of a hyperbolic partial differential equation
Partial Differential Equations in Applied Mathematics, 2022 In this article, we introduced a new measure termed as Q-measure to represent a weak* limit of the barycenter of a sequence of Borel measurable function. The Q-measure is defined by replacing the sequence of measurable functions via the barycenter of the
Jisha C.R.
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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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Data-driven discovery of partial differential equations [PDF]
Science Advances, 2016 Researchers propose sparse regression for identifying governing partial differential equations for spatiotemporal systems. We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by ...
S. Rudy, S. Brunton, J. Proctor, J. Kutz
semanticscholar +1 more source
A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation
Abstract and Applied Analysis, 2015 The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
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Image Quality Enhancement Model and its Application Based on PDE
Chemical Engineering Transactions, 2015 Partial differential equations application in digital image processing is developing rapidly in recent years. The method aim to establish a mathematical model with the partial differential equation, and the model will change the image based on partial ...
F. Yuan, Z.P. Wang
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