Results 91 to 100 of about 537,575 (240)
First-order optical systems with real eigenvalues
It is shown that a lossless first-order optical system whose real symplectic ray transformation matrix can be diagonalized and has only real eigenvalues, is similar to a separable hyperbolic expander in the sense that the respective ray transformation ...
Bastiaans, M.J., Alieva, T.
core +1 more source
In this paper an optimal control problem is considered, where the controlled process is described by a non-linear wave equation. The state vector consists of the solution for the non-linear wave equation and its first-order partial derivatives with ...
N.V. Kurganova +2 more
doaj
Solutions to a first order hyperbolic system
Summary: The study of small perturbations in the shock initiation of an inviscid compressible fluid with chemical reaction leads to a first order hyperbolic system of two equations. The order zero approximation of the system involves only constant coefficients.
openaire +2 more sources
Multidimensional first and second order symmetric strang splitting for hyperbolic systems [PDF]
We propose an algebraic basis for symmetric Strang splitting for first and second order accurate schemes for hyperbolic systems in N dimensions. Examples are given for two and three dimensions. Optimal stability is shown for symmetric systems.
Kucharik, Milan, Wendroff, Burton
core
First-order symmetrizable hyperbolic formulations of Einstein's equations including lapse and shift as dynamical fields [PDF]
First-order hyperbolic systems are promising as a basis for numerical integration of Einstein's equations. In previous work, the lapse and shift have typically not been considered part of the hyperbolic system and have been prescribed independently. This
Alvi, Kashif
core
Finite element solutions to boundary value problems
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
core
Modern Control Methods for First Order Hyperbolic Partial Differential Equations
This work is focused on two control methods for first order hyperbolic partial differential equations (PDE). The first method investigated is output regulation by employing the internal model control (IMC) principle where the controller generates the ...
Alavi Shoushtari, Navid
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First-Order Hyperbolic Systems. Energy Estimates and Exponential.
: The paper is devoted to studying asymptotic properties of solutions for first-order hyperbolic systems with nearly constant coefficients.
Shirikyan A.R. +1 more
core
Hyperbolic Systems of Partial Differential Inclusions [PDF]
This paper is devoted to the study of first-order hyperbolic systems of partial differential inclusions which are in particular motivated by several problems of control theory, such as tracking problems.
Frankowska, H. +3 more
core
Analytical solutions and implications for hydrodynamics and nonlinear optics
This article discusses the generalization of time-fractional conformable mathematical models for studying the Estevez–Mansfield–Clarkson (EMC) equation of solutions.
Nauman Ahmed +4 more
doaj +1 more source

