Results 261 to 270 of about 10,261,192 (285)
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Uniqueness of strong solutions and weak–strong stability in a system of cross-diffusion equations
Journal of evolution equations (Printed ed.), 2018Proving the uniqueness of solutions to multi-species cross-diffusion systems is a difficult task in the general case, and there exist very few results in this direction.
J. Berendsen +3 more
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Strong stability of impulsive systems
International Journal of Theoretical Physics, 1988The authors provide sufficient and necessary and sufficient conditions for the strong stability of the null solution of the system of impulsive differential equations (1) \(x'=f(t,x)\), \(t\neq t_ i\), \(\Delta x|_{t=t_ i}=I_ i(x(t_ i)).\) Some interesting generalizations of differential inequalities are also given.
Kulev, G. K., Bajnov, D. D.
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Stability Conditions for Strong Rarefaction Waves
SIAM Journal on Mathematical Analysis, 2005The author studies a number of algebraic conditions connected with the stability of strictly hyperbolic \(n\times n\) systems of conversation laws in one space dimension: \[ u_t + f(u)_x=0. \] Such conditions yield existence and continuity of the flow of solutions in the vicinity of the reference solution.
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On strong stability and higher-order sequentiality
Proceedings Ninth Annual IEEE Symposium on Logic in Computer Science, 2002Proposes a definition (by reducibility) of sequentiality for the interpretations of higher-order programs and proves the equivalence between this notion and strong stability. >
Ehrhard, Thomas, Colson, Loic
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Strong stability-preserving three-derivative Runge–Kutta methods
Computational and Applied Mathematics, 2023Xueyu Qin +4 more
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High Order Strong Stability Preserving Time Discretizations
Journal of Scientific Computing, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gottlieb, Sigal +2 more
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Strong Stability Preserving Multistep Schemes for Forward Backward Stochastic Differential Equations
Journal of Scientific Computing, 2023Shuixin Fang, Weidong Zhao, Tao Zhou
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Strong stability preserving hybrid methods
Applied Numerical Mathematics, 2009The author constructs a series of new strong stability preserving (SSP) explicit methods of orders 2 through 7 with nonnegative coefficients to solve partial differential equations (PDE) by the method of lines. Since solutions of hyperbolic PDEs are frequently discontinuous, time integration of the new methods is based on a nonlinear stability ...
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Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes
Journal of Scientific Computing, 2015High order strong stability preserving (SSP) time discretizations are advantageous for use with spatial discretizations with nonlinear stability properties for the solution of hyperbolic PDEs.
A. Christlieb +3 more
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On Strong Stability Preserving Time Discretization Methods
Journal of Scientific Computing, 2004This paper concerns the following initial value problem \[ u'(t)=f(t,u(t)),\;t\geq t_0,\quad u(t_0)=u_0 \] such that its solution satisfies a monotonicity property: \[ \| u(t)\|\leq \| u(t_0)\|,\quad \forall t\geq t_0, \] for a given norm \(\|\cdot\|\). The monotonicity for Runge-Kutta methods is investigated.
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