Results 21 to 30 of about 30,630 (137)
Learning to correct spectral methods for simulating turbulent flows [PDF]
Trans. Mach. Learn. Res., 2022 Despite their ubiquity throughout science and engineering, only a handful of partial differential equations (PDEs) have analytical, or closed-form solutions. This motivates a vast amount of classical work on numerical simulation of PDEs and more recently,
Gideon Dresdner +6 more
semanticscholar +1 more source
Kink Solutions for a Class of Generalized Dissipative Equations
Abstract and Applied Analysis, 2012 We study, in this paper, a generalized viscoelastic equation which includes several interesting models considered in some recent papers. Many physically important nonlinear PDEs can be reduced to nonlinear ODEs by means of reduction techniques.
Marianna Ruggieri
doaj +1 more source
Group-invariant solutions for one dimensional, inviscid hydrodynamics
AIP Advances, 2019 In this paper, the results of the Lie group method carried out by Ovsiannikov are utilized to study the one-dimensional hydrodynamic equations governing compressible, inviscid fluid flow in the absence of heat conduction.
J. D. McHardy +3 more
doaj +1 more source
, 2007 The contract is described and market examples given. Essential theoretical developments are introduced and cited chronologically. The principles and techniques of hedging and unique pricing are illustrated for the two simplest nontrivial examples: the ...
Jamshidian, Farshid
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Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python [PDF]
Journal of Chemical and Petroleum EngineeringThe Adomian decomposition method (ADM) is a powerful mathematical technique to find closed-form solutions to nonlinear functional equations including ODEs, PDEs, differential-difference, integral, integro-differential, algebraic, and transcendental ...
Mohsen Noorimohammad +2 more
doaj +1 more source
Compatibility, multi-brackets and integrability of systems of PDEs [PDF]
, 2008 We establish an efficient compatibility criterion for a system of generalized complete intersection type in terms of certain multi-brackets of differential operators.
Kruglikov, Boris, Lychagin, Valentin
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Fast generation of 3D deformable moving surfaces [PDF]
, 2003 Dynamic surface modeling is an important subject of geometric modeling due to their extensive applications in engineering design, entertainment and medical visualization.
You, L.H., Zhang, Jian J.
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The Helically-Reduced Wave Equation as a Symmetric-Positive System [PDF]
, 2003 Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value problem for the helically-reduced wave equation with an arbitrary source ...
Torre, C. G.
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Symbolic algorithms for the Painleve test, special solutions, and recursion operators for nonlinear PDEs. [PDF]
, 2003 This paper discusses the algorithms and implementations of three MATHEMATICA packages for the study of integrability and the computation of closed-form solutions of nonlinear polynomial PDEs.
D. Baldwin, W. Hereman, J. Sayers
semanticscholar +1 more source
Presymplectic current and the inverse problem of the calculus of variations
, 2013 The inverse problem of the calculus of variations asks whether a given system of partial differential equations (PDEs) admits a variational formulation.
Anderson I. +10 more
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