Results 271 to 280 of about 430,778 (289)

Strong stability preserving hybrid methods

Applied Numerical Mathematics, 2009
The 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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On Strong Stability Preserving Time Discretization Methods

Journal of Scientific Computing, 2004
This 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 Second Derivative General Linear Methods with Runge–Kutta Stability

Journal of Scientific Computing, 2020
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Afsaneh Moradi, Ali Abdi, Javad Farzi
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Characterizing Strong Stability Preserving Additive Runge-Kutta Methods

Journal of Scientific Computing, 2008
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Strong-Stability-Preserving 7-Stage Hermite–Birkhoff Time-Discretization Methods

Journal of Scientific Computing, 2011
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Nguyen-Ba, Truong, Nguyen-Thu, Huong, Giordano, Thierry, Vaillancourt, Rémi   +3 more
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Optimal Explicit Strong-Stability-Preserving General Linear Methods

SIAM Journal on Scientific Computing, 2010
This 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 ...
Emil M. Constantinescu, Adrian Sandu
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Strong stability preserving second derivative multistep methods

Numerical Algorithms
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Khakzad, Pari, Moradi, Afsaneh, Abdi, Ali, Hojjati, Gholamreza   +3 more
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Strong Stability Preserving Explicit Peer Methods for Discontinuous Galerkin Discretizations

Journal of Scientific Computing, 2017
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Klinge, Marcel, Weiner, Rüdiger
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Rosenbrock strong stability-preserving methods for convection–diffusion–reaction equations

Japan Journal of Industrial and Applied Mathematics, 2014
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Hai, Doan Duy, Yagi, Atsushi
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Strong Stability Preserving Time Discretizations: A Review

2015
Strong stability preserving (SSP) high order time discretizations were developed to address the need for nonlinear stability properties in the numerical solution of hyperbolic partial differential equations with discontinuous solutions. These methods preserve the monotonicity properties (in any norm, seminorm or convex functional) of the spatial ...
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