Browsing by Subject "Mathematical transformations"
Now showing items 120 of 45

Article
BogoyavlenskyVolterra and Birkhoff integrable systems
(2004)In this paper we examine an interesting connection between the generalized Volterra lattices of Bogoyavlensky and a special case of an integrable system defined by Sklyanin. The Sklyanin system happens to be one of the ...

Article
Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations
(2003)We consider the class of generalised nonlinear diffusion equations f(x)ut = [g(x)unux]x which are of considerable interest in mathematical physics. We classify the nonlocal symmetries, which are known as potential symmetries, ...

Article
Conditional densities for continuoustime nonlinear hybrid systems with applications to fault detection
(1998)Continuoustime nonlinear stochastic differential state and measurement equations, all of which have coefficients capable of abrupt changes at a random time, are considered; finitestate jump Markov chains are used to model ...

Article
Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems
(2008)In this work, we use conformal mapping to transform harmonic Dirichlet problems of Laplace's equation which are defined in simplyconnected domains into harmonic Dirichlet problems that are defined in the unit disk. We ...

Article
Differential invariants of the onedimensional quasilinear secondorder evolution equation
(2007)We consider evolution equations of the form ut = f(x, u, ux)uxx + g(x, u, ux) and ut = uxx + g(x, u, ux). In the spirit of the recent work of Ibragimov [Ibragimov NH. Laplace type invariants for parabolic equations. Nonlinear ...

Article
Efficient MFS algorithms for inhomogeneous polyharmonic problems
(2011)In this work we develop an efficient algorithm for the application of the method of fundamental solutions to inhomogeneous polyharmonic problems, that is problems governed by equations of the form Δ ℓ u=f, ℓ ε ℕ, in circular ...

Conference Object
Exact filters for NewtonRaphson parameter estimation algorithms for continuoustime partially observed stochastic systems
(IEEE, 1999)This paper presents explicit finitedimensional filters for implementing NewtonRaphson (NR) parameter estimation algorithms. The models which exhibit nonlinear parameter dependence are stochastic, continuoustime and ...

Conference Object
Fast wavelet transform in motor unit action potential analysis
(Publ by IEEE, 1993)Wavelet analysis is a new method for analyzing time and frequency contents of signals. We present the Fast Wavelet Transform (FWT) implemented using Bwavelets and noncircular convolutions in the analysis of Motor Unit ...

Article
Finite Difference Schemes for the Cauchy–Navier Equations of Elasticity with Variable Coefficients
(2015)We solve the variable coefficient Cauchy–Navier equations of elasticity in the unit square, for Dirichlet and DirichletNeumann boundary conditions, using second order finite difference schemes. The resulting linear systems ...

Conference Object
First passage risksensitive criterion for stochastic evolutions
(1995)The purpose of this paper is to investigate in an infinite dimensional space, the first passage problem with a risksensitive performance criterion, and to illustrate the asymptotic behavior of the associated value function, ...

Article
Further transformation properties of generalised inhomogeneous nonlinear diffusion equations with variable coefficients
(2005)We consider the variable coefficient inhomogeneous nonlinear diffusion equations of the form xput = [xqu nux]x. We present further transformation properties for this nonlinear class of equations that do not appear in the ...

Article
Group analysis of nonlinear fin equations
(2008)Group classification of a class of nonlinear fin equations is carried out exhaustively. Additional equivalence transformations and conditional equivalence groups are also found. These enable us to simplify the classification ...

Article
Hodographtype transformations
(2003)We consider secondorder evolution equations of the form ut = F1(u,ux)uxx+F2(u,ux) and third order of the form ut = F1(u,ux)u xxx+F2(u,ux,uxx). For each of these equations we construct point transformations which relate ...

Conference Object
How fast are the twodimensional gaussian waves?
(2002)For a stationary twodimensional random field evolving in time, we derive the intensity distributions of appropriately defined velocities of crossing contours. The results are based on a generalization of the Rice formula. ...

Article
Information states in stochastic control and filtering: a lie algebraic theoretic approach
(2000)The purpose of this paper is twofold: i) to introduce the sufficient statistic algebra which is responsible for propagating the sufficient statistics, or information state, in the optimal control of stochastic systems and ...

Conference Object
Is robustness of stochastic uncertain systems related to information theory and statistical mechanics?
(2005)Fifty years ago, when Claude Shannon was developing the Mathematical Theory of Communications, for reliable data transmission, which evolved into the subject of information theory, another discipline was developing dealing ...

Conference Object
Is robustness of stochastic uncertain systems related to information theory and statistical mechanics?
(Affiliation: Department of Electrical and Computer Engineering, University of Cyprus, Nicosia, CyprusAffiliation: Department of Mechanical and Manufacturing Engineering, University of Cyprus, Nicosia, CyprusAffiliation: School of Information Technology and Engineering, University of Ottawa, 161 Louis Pasteur, A519, Ottawa, Ont. K1N 6N5, CanadaCorrespondence Address: Charalambous, C.D.Department of Electrical and Computer Engineering, University of Cyprus, Nicosia, Cyprusemail: chadcha@ucy.ac.cy, 2005)Fifty years ago, when Claude Shannon was developing the Mathematical Theory of Communications, for reliable data transmission, which evolved into the subject of information theory, another discipline was developing dealing ...

Conference Object
Is robustness of stochastic uncertain systems related to information theory and statistical mechanics?
(Affiliation: Department of Electrical and Computer Engineering, University of Cyprus, Nicosia, CyprusAffiliation: Department of Mechanical and Manufacturing Engineering, University of Cyprus, Nicosia, CyprusAffiliation: School of Information Technology and Engineering, University of Ottawa, 161 Louis Pasteur, A519, Ottawa, Ont. K1N 6N5, CanadaCorrespondence Address: Charalambous, C.D.Department of Electrical and Computer Engineering, University of Cyprus, Nicosia, Cyprusemail: chadcha@ucy.ac.cy, 2005)Fifty years ago, when Claude Shannon was developing the Mathematical Theory of Communications, for reliable data transmission, which evolved into the subject of information theory, another discipline was developing dealing ...

Article
A KansaRadial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains
(2015)We employ a Kansaradial basis function (RBF) method for the numerical solution of elliptic boundary value problems in annular domains. This discretization leads, with an appropriate selection of collocation points and for ...

Article
KansaRBF algorithms for elliptic problems in axisymmetric domains
(2016)We employ a Kansaradial basis function method for the numerical solution of elliptic boundary value problems in threedimensional axisymmetric domains. We consider problems governed by the Poisson equation, the inhomogeneous ...