Results 221 to 230 of about 95,473 (252)
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Strong Stability-Preserving High-Order Time Discretization Methods
SIAM Review, 2001This paper is essentially a review of a class of strong stability preserving (a.k.a. total variation diminishing) high-order time discretization methods for a broad class of partial differential equations. Emphasis is placed on nonlinear problems and problems with solutions of relatively low regularity, such as nonlinear conservation laws.
Eitan Tadmor +2 more
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Strong Stability Preserving Integrating Factor General Linear Methods
Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pari Khakzad +4 more
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A new class of strong stability preserving general linear methods
Journal of Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zdzislaw Jackiewicz +2 more
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Strong stability-preserving three-derivative Runge–Kutta methods
Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xueyu Qin +4 more
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Strong Stability Preserving General Linear Methods with Runge–Kutta Stability
Journal of Scientific Computing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Califano, Giovanna +2 more
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Optimal Explicit Strong-Stability-Preserving General Linear Methods
SIAM Journal of Scientific Computing, 2010This paper constructs strong-stability-preserving general linear time-stepping methods that are well suited for hyperbolic PDEs discretized by the method of lines. These methods generalize both Runge-Kutta (RK) and linear multistep schemes. They have high stage orders and hence are less susceptible than RK methods to order reduction from source terms ...
Adrian Sandu, Emil Constantinescu
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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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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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Strong stability preserving implicit–explicit transformed general linear methods
Mathematics and Computers in Simulation, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Izzo G., Jackiewicz Z.
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Strong Stability Preserving Second Derivative General Linear Methods with Runge–Kutta Stability
Journal of Scientific Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Javad Farzi, Ali Abdi, Afsaneh Moradi
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