Browsing by Subject "Partial differential equations"
Now showing items 21-40 of 48
-
Article
Hodograph-type transformations
(2003)We consider second-order 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
Information states in optimal control of stochastic systems: A Lie algebraic theoretic approach
(IEEE, 1997)In this paper we introduce the sufficient statistic algebra which is responsible for propagating the sufficient statistic, or information state, in the optimal control of stochastic systems. Using a Lie algebraic formulation, ...
-
Article
Lie symmetries of generalized Burgers equations: application to boundary-value problems
(2015)There exist several approaches exploiting Lie symmetries in the reduction of boundary-value problems for partial differential equations modelling real-world phenomena to those problems for ordinary differential equations. ...
-
Article
A matrix decomposition MFS algorithm for biharmonic problems in annular domains
(2004)The Method of Fundamental Solutions (MFS) is a boundary-type method for the solution of certain elliptic boundary value problems. In this work, we develop an efficient matrix decomposition MFS algorithm for the solution ...
-
Article
Matrix decomposition RBF algorithm for solving 3D elliptic problems
(2009)In this study, we propose an efficient algorithm for the evaluation of the particular solutions of three-dimensional inhomogeneous elliptic partial differential equations using radial basis functions. The collocation points ...
-
Article
Methods of fundamental solutions for harmonic and biharmonic boundary value problems
(1998)In this work, the use of the Method of Fundamental Solutions (MFS) for solving elliptic partial differential equations is investigated, and the performance of various least squares routines used for the solution of the ...
-
Article
The MFS for the Cauchy problem in two-dimensional steady-state linear thermoelasticity
(2013)We study the reconstruction of the missing thermal and mechanical fields on an inaccessible part of the boundary for two-dimensional linear isotropic thermoelastic materials from over-prescribed noisy (Cauchy) data on the ...
-
Article
Multichannel deconvolution with long-range dependence: A minimax study
(2014)We consider the problem of estimating the unknown response function in the multichannel deconvolution model with long-range dependent Gaussian or sub-Gaussian errors. We do not limit our consideration to a specific type ...
-
Article
Necessary conditions of optimization for partially observed controlled diffusions
(1999)Necessary conditions are derived for stochastic partially observed control problems when the control enters the drift coefficient and correlation between signal and observation noise is allowed. The problem is formulated ...
-
Article
Newtonian Poiseuille flows with pressure-dependent wall slip
(2013)The effect of pressure-dependent slip at the wall in steady, isothermal, incompressible Poiseuille flows of a Newtonian liquid is investigated. Exponential dependence of the slip coefficient on the pressure is assumed and ...
-
Article
Non-peturbative density expansions for extended Coulomb systems
(2000)We present a general non-perturbative argument that combines the Pauli and virial theorems for a multicomponent translationally invariant Coulombic system of fermions at zero temperature, and which by an iteration procedure ...
-
Article
On convergence rates equivalency and sampling strategies in functional deconvolution models
(2010)Using the asymptotical minimax framework, we examine convergence rates equivalency between a continuous functional deconvolution model and its real-life discrete counterpart over a wide range of Besov balls and for the ...
-
Article
On the invariants of two dimensional linear parabolic equations
(2012)We consider the most general two dimensional linear parabolic equations. Motivated by the recent work of Ibragimov et al. [1-3] we construct differential invariants, semi-invariants and invariant equations. These results ...
-
Article
Piecewise linear emulator of the nonlinear Schrödinger equation and the resulting analytic solutions for Bose-Einstein condensates
(2003)A most general method for finding very good analytic approximate solutions to the cubic nonlinear Schrodinger equation is presented. This method applies whenever the nonlinearity in that equation is a purely cubic one. It ...
-
Article
Quadratic forms for Feynman-Kac semigroups
(2006)Some problems in a stochastic setting often involve the need to evaluate the Feynman-Kac formula that follows from models described in terms of stochastic differential equations. Equivalent representations in terms of ...
-
Conference Object
Remarks on the explicit solutions for nonlinear partially observable stochastic control problems and relations to H∞ or robust control
(IEEE, 1995)Partially observable stochastic and H∞ control problems are considered. The dynamics include nonlinearities which are the gradient of some potential function in addition to linear terms, the observations are linear, and ...
-
Article
Speed selection mechanism for propagating fronts in reaction-diffusion systems with multiple fields
(2002)We introduce a speed selection mechanism for front propagation in reaction-diffusion systems with multiple fields. This mechanism applies to pulled and pushed fronts alike, and operates by restricting the fields to large ...
-
Article
Speed selection mechanism for propagating fronts in reaction-diffusion systems with multiple fields
(2002)We introduce a speed selection mechanism for front propagation in reaction-diffusion systems with multiple fields. This mechanism applies to pulled and pushed fronts alike, and operates by restricting the fields to large ...
-
Article
Speed selection mechanism for propagating fronts in reaction-diffusion systems with multiple fields123
(2002)We introduce a speed selection mechanism for front propagation in reaction-diffusion systems with multiple fields. This mechanism applies to pulled and pushed fronts alike, and operates by restricting the fields to large ...
-
Conference Object
Stochastic nonlinear minimax dynamic games with noisy measurements
(IEEE, 1999)This paper is concerned with nonlinear stochastic minimax dynamic games which are subject to noisy measurements. The minimizing players are control inputs while the maximizing players are square-integrable stochastic ...