Results 11 to 20 of about 95,473 (252)
Strong Stability Preserving Multistage Integration Methods
Mathematical Modelling and Analysis, 2015 In this paper we systematically investigate explicit strong stability preserving (SSP) multistage integration methods, a subclass of general linear methods (GLMs), of order p and stage order q ≤ p.
Giuseppe Izzo, Zdzislaw Jackiewicz
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On the stability of strong-stability-preserving modified Patankar–Runge–Kutta schemes
ESAIM: Mathematical Modelling and Numerical Analysis, 2023 In this paper, we perform a stability analysis for classes of second and third order accurate strong-stability-preserving modified Patankar–Runge–Kutta (SSPMPRK) schemes, which were introduced in Huang and Shu [J. Sci. Comput. 78 (2019) 1811–1839] and Huang et al. [J. Sci. Comput.
Juntao Huang +4 more
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Advances in Difference Equations, 2021 In this article, we consider a temporally second-order unconditionally energy stable computational method for the Allen–Cahn (AC) equation with a high-order polynomial free energy potential.
Junseok Kim, Hyun Geun Lee
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Dense Output for Strong Stability Preserving Runge–Kutta Methods [PDF]
Journal of Scientific Computing, 2016 We investigate dense output formulae (also known as continuous extensions) for strong stability preserving (SSP) Runge-Kutta methods. We require that the dense output formula also possess the SSP property, ideally under the same step-size restriction as the method itself.
David I. Ketcheson +3 more
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Unconditionally Strong Stability Preserving Extensions of the TR-BDF2 Method [PDF]
Journal of Scientific Computing, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luca Bonaventura, Alessandro Della Rocca
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Strong Stability Preserving Properties of Composition Runge–Kutta Schemes [PDF]
Journal of Scientific Computing, 2019 In this paper Strong Stability Preserving (SSP) properties of Runge Kutta methods obtained by com- posing k different schemes with different step sizes are studied. The SSP coefficient of the composition method is obtained and an upper bound on this coefficient is given. Some examples are shown.
Inmaculada Higueras, Teo Roldán
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Some notes on summation by parts time integration methods
Results in Applied Mathematics, 2019 Some properties of numerical time integration methods using summation by parts (SBP) operators and simultaneous approximation terms are studied. These schemes can be interpreted as implicit Runge-Kutta methods with desirable stability properties such as ...
Hendrik Ranocha
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DQM Based on the Modified Form of CTB Shape Functions for Coupled Burgers’ Equation in 2D and 3D [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 This work concerns for solving of coupled Burgers’ equations (CBEs) in 2D and 3D via DQM based on cubic trigonometric B-spline (CTB) shape functions.
Mohammad Tamsir, Neeraj Dhiman
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Strong stability preserving explicit peer methods
Journal of Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zoltán Horváth +2 more
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A New Approach for the Black–Scholes Model with Linear and Nonlinear Volatilities
Mathematics, 2019 Since financial engineering problems are of great importance in the academic community, effective methods are still needed to analyze these models. Therefore, this article focuses mainly on capturing the discrete behavior of linear and nonlinear Black ...
Seda Gulen, Catalin Popescu, Murat Sari
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