Strong Ellipticity and Infinitesimal Stability within Nth-Order Gradient Elasticity
We formulate a series of strong ellipticity inequalities for equilibrium equations of the gradient elasticity up to the Nth order. Within this model of a continuum, there exists a deformation energy introduced as an objective function of deformation ...
Victor A. Eremeyev
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Strong Stability Preserving Integrating Factor Two-Step Runge–Kutta Methods [PDF]
Problems with components that feature significantly different time scales, where the stiff time-step restriction comes from a linear component, implicit-explicit (IMEX) methods alleviate this restriction if the concern is linear stability.
Leah Isherwood +2 more
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DECOMPOSITION OF Cm THROUGH Q-PERIODIC DISCRETE EVOLUTION FAMILY [PDF]
Let U={U (m,n) : m,n ∈ Z+} n≥m≥0 be the q-periodic discrete evolution family of square size matrices of order m having complex scalars as entries generated by L(C^m-valued, q-periodic sequence of square size matrices (An)n∈Z+ where q≥2 is a natural ...
Akbar Zada, Hafiz Ullah
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On strong stability of explicit Runge–Kutta methods for nonlinear semibounded operators [PDF]
Explicit Runge–Kutta methods are classical and widespread techniques in the numerical solution of ordinary differential equations (ODEs). Considering partial differential equations, spatial semidiscretizations can be used to obtain systems of ODEs that
Hendrik Ranocha
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Implicit and Implicit–Explicit Strong Stability Preserving Runge–Kutta Methods with High Linear Order [PDF]
Strong stability preserving (SSP) time discretizations preserve the monotonicity properties satisfied by the spatial discretization when coupled with the first order forward Euler, under a certain time-step restriction.
S. Conde +3 more
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Strong Stability Preserving Runge-Kutta Methods Applied to Water Hammer Problem
The characteristic method of lines is the most used numerical method applied to the water hammer problem. It transforms a system of partial differential equations involving the independent variables time and space in two ordinary differential equations ...
D. F. G. Santiago +3 more
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Noise-induced strong stabilization
updated version.
Leimbach, Matti +2 more
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Embedded pairs for optimal explicit strong stability preserving Runge-Kutta methods [PDF]
We construct a family of embedded pairs for optimal strong stability preserving explicit Runge-Kutta methods of order $2 \leq p \leq 4$ to be used to obtain numerical solution of spatially discretized hyperbolic PDEs.
I. Fekete, S. Conde, J. Shadid
semanticscholar +1 more source
On asymptotic properties of solutions for differential equations of neutral type
The stability of systems of linear autonomous functional differential equations of neutral type is studied. The study is based on the well-known representation of the solution in the form of an integral operator, the kernel of which is the Cauchy ...
V. V. Malygina, K. M. Chudinov
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Strong stability in retrial queues [PDF]
The authors study the strong stability in retrial queues after perturbation of retrial parameters. Queueing systems, in which customers who find all servers and waiting positions (if any) occupied may retry for service after a period of time, are called retrial queues.
Berdjoudj, Louisa, Aissani, Djamil
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