Results 11 to 20 of about 66,549 (281)
Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent Systems
Papers in Physics, 2020 In the time evolution simulation of a copolymer system towards its equilibrium configuration, it is common to use the Otha-Kawasaki approach for free energy and time evolution by means of a Cahn-Hilliard diffusion equation.
Aldo Pezzutti, Hugo Hernández
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Journal of Mathematics, 2023 In this article, we develop an unconditionally stable numerical scheme for the modified Fisher–Kolmogorov–Petrovsky–Piscounov (Fisher–KPP) equation modeling population dynamics in two-dimensional space.
Soobin Kwak +5 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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An Unconditionally Stable Integration Method for Structural Nonlinear Dynamic Problems
Mathematics, 2023 This paper presents an unconditionally stable integration method, which introduces a linearly implicit algorithm featuring an explicit displacement expression.
Chuanguo Jia +5 more
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New Unconditionally Stable Schemes for the Navier-Stokes Equations [PDF]
Communications in Computational Physics, 2021 Summary: In this paper we propose some efficient schemes for the Navier-Stokes equations. The proposed schemes are constructed based on an auxiliary variable reformulation of the underlying equations, recently introduced by \textit{X. L. Li} et al. [``New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis ...
Yao, Hui, Azaiez, Mejdi, Xu, Chuanju
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Shock and Vibration, 2021 When solving structural dynamic problems, the displacement algorithm needs only calculating and storing structure’s displacements in the main calculation process, which makes the displacement algorithm have advantages over multivariable algorithms in ...
Changqing Li +4 more
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Unconditionally stable schemes for higher order inpainting [PDF]
Communications in Mathematical Sciences, 2011 Higher order equations, when applied to image inpainting, have certain advantages over second order equations, such as continuation of both edge and intensity information over larger distances. Discretizing a fourth order evolution equation with a brute force method may restrict the time steps to a size up to orderx 4 wherex denotes the step size of ...
Schoenlieb, Carola-Bibiane +1 more
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Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation
Journal of Scientific Computing, 2023 AbstractApproximating the Hadamard finite-part integral by the quadratic interpolation polynomials, we obtain a scheme for approximating the Riemann-Liouville fractional derivative of order $$\alpha \in (1, 2)$$ α ∈ ( 1 ,
Jinping Yang +3 more
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Unconditionally Stable Methods for Hamilton–Jacobi Equations [PDF]
Journal of Computational Physics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karlsen, Kenneth Hvistendahl +1 more
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Unconditionally stable second-order accurate scheme for a parabolic sine-Gordon equation
AIP Advances, 2022 In this study, we propose an unconditionally stable temporally second-order accurate scheme for a parabolic sine-Gordon equation. The proposed scheme is based on an operator splitting method.
Seokjun Ham +3 more
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