Results 11 to 20 of about 17,380,414 (202)
A Higher-Order Energy Expansion to Two-Dimensional Singularly Neumann Problems [PDF]
, 2005 Of concern is the following singularly perturbed semilinear elliptic problem \begin{equation*} \left\{ \begin{array}{c} \mbox{${\epsilon}^2\Delta u -u+u^p =0$ in $\Omega$}\\ \mbox{$u>0$ in $\Omega$ and $
Yeung, W-K, Winter, M, Wei, J
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Maximum norm a posteriori error estimate for a 2d singularly perturbed semilinear reaction-diffusion problem [PDF]
, 2008 A singularly perturbed semilinear reaction-diffusion equation, posed in the unit square, is discretized on arbitrary nonuniform tensor-product meshes. We establish a second-order maximum norm a posteriori error estimate that holds true uniformly in the ...
Kopteva, Natalia
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Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions [PDF]
, 2013 A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
Linss, Torsten, Kopteva, Natalia
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The linear quadratic regulator problem for a class of controlled systems modeled by singularly perturbed Ito differential equations [PDF]
, 2012 Link to a related website: https://digital.library.adelaide.edu.au/dspace/bitstream/2440/77907/1/hdl_77907.pdf, Open Access via UnpaywallThis paper discusses an infinite-horizon linear quadratic (LQ) optimal control problem involving state- and control ...
Shi, Peng +5 more
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On a Two Dimensional Reaction-Diffusion System with Hypercyclical Structure [PDF]
, 2000 We study a hypercyclical reaction-diffusion system which arises in the modeling of catalytic networks and describes the emerging of cluster states.
Winter, M, Wei, J
core +6 more sources
Higher order energy expansions for some singularly perturbed Neumann problems [PDF]
, 2003 We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \
Winter, M +5 more
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Axioms, 2019 The problem of complete controllability of a linear time-invariant singularly-perturbed system with multiple commensurate non-small delays in the slow state variables is considered.
Olga Tsekhan
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Mathematics, 2021 An infinite-bound stabilization of a system modeled as singularly perturbed bilinear systems is examined. First, we present a Lyapunov equation approach for the stabilization of singularly perturbed bilinear systems for all ε∈(0, ∞).
Ding-Horng Chen +2 more
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Clustered spots in the FitzHugh-Nagumo system [PDF]
, 2005 We construct {\bf clustered} spots for the following FitzHugh-Nagumo system: \[\left\{\begin{array}{l}\ep^2\Delta u +f(u)-\delta v =0\quad \mbox{in} \ \Om,\\[2mm]\Delta v+ u=0 \quad \mbox{in} \ \Om,\\[2mm] u= v =0 \quad\mbox{on} \ \partial \Om, \end{
Winter, M, Wei, J
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Event‐triggered control of singularly perturbed linear system with DoS attacks
IET Control Theory & Applications, 2021 This paper presents the event‐triggered control problem of linear singularly perturbed systems in the presence of denial‐of‐service attacks. To save the communication and computing resources, event‐triggered mechanisms in two transmission channels are ...
Xiang Ren, Fei Hao
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