Results 21 to 30 of about 21,109,068 (48)
On a Schwarzian PDE associated with the KdV hierarchy [PDF]
, 2000 We present a novel integrable non-autonomous partial differential equation of the Schwarzian type, i.e. invariant under M\"obius transformations, that is related to the Korteweg-de Vries hierarchy.
Hone, A. N. W. +8 more
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Parametric Representations of Facial Expressions on PDE-Based Surfaces [PDF]
, 2008 YesParameterisation of facial expressions on PDE surface representations of human faces are presented in this work. Taking advantage of the boundary-value approach inherent to Bloor-Wilson PDE method, facial expressions are achieved by manipulating the ...
Willis, P. +3 more
core +4 more sources
PDE-based Facial Animation: Making the Complex Simple [PDF]
, 2008 YesDirect parameterisation is among the most widely used facial animation techniques but requires complicated ways to animate face models which have complex topology.
Willis, P. +7 more
core +1 more source
Lagrangian structures and multidimensional consistency [PDF]
, 2010 The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable ...
Lobb, Sarah Beverley
core +6 more sources
Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions [PDF]
, 2003 Various solutions are displayed and analyzed (both analytically and numerically) of a recently-introduced many-body problem in the plane which includes both integrable and nonintegrable cases (depending on the values of the coupling constants); in ...
Calogero, F +6 more
core +2 more sources
A List of 1 + 1 Dimensional Integrable Equations and Their Properties [PDF]
, 2001 This paper contains a list of known integrable systems. It gives their recursion-, Hamiltonian-, symplectic- and cosymplectic operator, roots of their symmetries and their scaling ...
Jing Ping Wang, Wang, Jing Ping
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On Classification of Integrable Davey-Stewartson Type Equations [PDF]
, 2013 This paper is devoted to the classification of integrable Davey-Stewartson type equations. A list of potentially deformable dispersionless systems is obtained through the requirement that such systems must be generated by a polynomial dispersionless Lax ...
Novikov, Vladimir, Huard, Benoit
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Fast iterative solvers for PDE-constrained optimization problems [PDF]
, 2013 In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to ...
Pearson, John W
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The twistor description of integrable systems [PDF]
, 1991 The theory of twistors and the theory of integrable models have, for many years, developed independently of each other. However, in recent years it has been shown that there is considerable overlap between these two apparently disparate areas of ...
Strachan, Ian Alexander Becket
core
Partially integrable nonlinear equations with one higher symmetry [PDF]
, 2005 In this letter, we present a family of second order in time nonlinear partial differential equations, which have only one higher symmetry.
Mikhailov, AV +5 more
core +1 more source