Results 21 to 30 of about 1,352,769 (228)
On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
, 1999 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
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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
semanticscholar +1 more source
Residual equilibrium schemes for time dependent partial differential equations [PDF]
, 2016 Many applications involve partial differential equations which admits nontrivial steady state solutions. The design of schemes which are able to describe correctly these equilibrium states may be challenging for numerical methods, in particular for high ...
Pareschi, Lorenzo, Rey, Thomas
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An overview on deep learning-based approximation methods for partial differential equations [PDF]
Discrete and Continuous Dynamical Systems - B, 2020 It is one of the most challenging problems in applied mathematics to approximatively solve high-dimensional partial differential equations (PDEs).
C. Beck +3 more
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Differential constraints compatible with linearized equations
, 1998 Differential constraints compatible with the linearized equations of partial differential equations are examined.
Bluman G.W. +12 more
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Learning data-driven discretizations for partial differential equations [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2018 Significance In many physical systems, the governing equations are known with high confidence, but direct numerical solution is prohibitively expensive.
Yohai Bar-Sinai +3 more
semanticscholar +1 more source
Complex solutions of Monge-Amp\`ere equations
, 2011 We describe a method to reduce partial differential equations of Monge-Amp\`ere type in 4 variables to complex partial differential equations in 2 variables. To illustrate this method, we construct explicit holomorphic solutions of the special lagrangian
Banos +21 more
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Teaching Partial Differential Equations with CAS [PDF]
, 2018 Partial Differential Equations (PDE) are one of the topics where Engineering students find more difficulties when facing Math subjects. A basic course in Partial Differential Equations (PDE) in Engineering, usually deals at least, with the following ...
Aguilera-Venegas, Gabriel +5 more
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PDEs in Moving Time Dependent Domains
, 2013 In this work we study partial differential equations defined in a domain that moves in time according to the flow of a given ordinary differential equation, starting out of a given initial domain.
AJ Chorin +5 more
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Developing Clean Technology through Approximate Solutions of Mathematical Models [PDF]
, 2012 In this paper, the role of mathematical modeling in the development of clean technology has been considered. One method each for obtaining approximate solutions of mathematical models by ordinary differential equations and partial differential ...
Anake, T. A.
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