Results 71 to 80 of about 537,575 (240)

Higher-order finite-difference methods for partial differential equations

, 1997
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter, Cheema, T.A.
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Evaluation of numerical schemes for capturing shock waves in modeling proppant transport in fractures

Petroleum Science, 2017
In petroleum engineering, the transport phenomenon of proppants in a fracture caused by hydraulic fracturing is captured by hyperbolic partial differential equations (PDEs). The solution of this kind of PDEs may encounter smooth transitions, or there can
Morteza Roostaei, Alireza Nouri, Vahidoddin Fattahpour, Dave Chan   +3 more
doaj   +1 more source

Distributed Control for Non-Cooperative Systems Governed by Time-Fractional Hyperbolic Operators

Fractal and Fractional
This paper studies distributed optimal control for non-cooperative systems involving time-fractional hyperbolic operators. Through the application of the Lax–Milgram theorem, we confirm the existence and uniqueness of weak solutions.
Hassan M. Serag, Areej A. Almoneef, Mahmoud El-Badawy, Abd-Allah Hyder   +3 more
doaj   +1 more source

Numerical methods for ordinary differential equations with applications to partial differential equations

, 1983
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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On the relation of delay equations to first-order hyperbolic partial differential equations [PDF]

, 2013
. This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations.
Iasson Karafyllis, Krstic, Miroslav, Miroslav Krstic, Karafyllis, Iasson   +3 more
core   +1 more source

Decay Estimates For Hyperbolic Systems

, 2003
In this work we study the Sobolev spaces generated by pseudo-di#erential operators associated with the group of symmetry of general first order hyperbolic systems.
ZILIOTTI G., Sandra Lucente, GEORGIEV V., Vladimir Georgiev, LUCENTE, SANDRA, Guido Ziliotti   +5 more
core   +1 more source

Low-Complexity Adaptive Tracking Control for Unknown Pure Feedback Nonlinear Systems With Multiple Constraints

IEEE Access, 2019
A low-complexity adaptive tracking control strategy for a class of pure feedback nonlinear systems is developed in the presence of completely unknown non-affine nonlinearities, prescribed tracking performance constraints, full states constraints, and ...
Longsheng Chen, Qi Wang, Hui Ye, Guoyi He   +3 more
doaj   +1 more source

Path integral for a hyperbolic system of the first order

Duke Mathematical Journal, 1984
The aim of the author is to derive a Feynman path integral formula for the solution f of the \(N\times N\) hyperbolic first order system \[ f_ t(t,x)=P_ kf_{x_ k}-iA_ k(t,x)f+iQf+iV(t,x)f\quad on\quad ...
openaire   +3 more sources

Finite propagation speed for first order systems and Huygens’ principle for hyperbolic equations

, 2016
We prove that strongly continuous groups generated by first order systems on Riemannian manifolds have finite propagation speed. Our procedure provides a new direct proof for self-adjoint systems and allows an extension to operators on metric measure ...
Morris, Andrew J., McIntosh, Alan
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Higher order parallel splitting methods for parabolic partial differential equations

, 1995
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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