Results 101 to 110 of about 1,345 (122)

A $\theta$-$L$ Approach for Solving Solid-State Dewetting Problems

Journal of Computational Mathematics, 2022
We propose a θ-L approach for solving a sharp-interface model about simulating solidstate dewetting of thin films with isotropic/weakly anisotropic surface energies.
Weijie Huang, Wei Jiang null, Yan Wang
semanticscholar   +1 more source

Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations

Oberwolfach Reports, 2022
Nonlinear hyperbolic partial differential equations constitute a plethora of models from physics, biology, engineering, etc. In this workshop we cover the range from modeling, mathematical questions of well-posedness, numerical discretization and ...
C. Klingenberg, Qin Li, M. Pirner
semanticscholar   +1 more source

Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations

Communications in Computational Physics, 2021
In this paper, we propose a class of numerical methods based on discretevelocity vector-BGK models for the incompressible Navier-Stokes equations.
Jin Zhao
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Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces

Numerical Mathematics: Theory, Methods and Applications, 2021
We present a simple and fast explicit hybrid numerical scheme for the motion by mean curvature on curved surfaces in three-dimensional (3D) space. We numerically solve the Allen-Cahn (AC) and conservative Allen-Cahn (CAC) equations on a triangular ...
Yongho Choi
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Finite Difference Methods for Fractional Differential Equations on Non-Uniform Meshes

, 2021
The solutions of fractional equations with Caputo derivative often have a singularity at the initial time. Therefore, for numerical methods on uniform meshes it is difficult to achieve optimal convergence rates. To improve the convergence, Liu et al. [10]
Haili Qiao Aijie Cheng
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Pricing American Options under Regime-Switching Model with a Crank-Nicolson Fitted Finite Volume Method

East Asian Journal on Applied Mathematics, 2020
A new numerical method for pricing American options under regime-switching model is developed. The original problem is first approximated by a set of nonlinear partial differential equations. After that a novel fitted finite volume method for the spatial
Xiao Yin
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On New Strategies to Control the Accuracy of WENO Algorithm Close to Discontinuities II: Cell Averages and Multiresolution

Journal of Computational Mathematics, 2020
This paper is the second part of the article and is devoted to the construction and analysis of new non-linear optimal weights for WENO interpolation capable of rising the order of accuracy close to discontinuities for data discretized in the cell ...
Sergio Amat sci
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Numerical integration of nonlinear FitzHugh-Nagumo Partial Differential Equations using second derivative two-step hybrid algorithm

Ife Journal of Science
This manuscript presents a second derivative two-step hybrid block method derived through collocation techniques. The derived scheme and the sixth order compact difference schemes are used to efficiently solve the nonlinear FitzHugh-Nagumo Partial ...
B. Akinnukawe, E. Atteh
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Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

, 2012
We present the finite difference/element method for a two-dimensional modified fractional diffusion equation. The analysis is carried out first for the time semi-discrete scheme, and then for the full discrete scheme.
N. Zhang, W. Deng, Yujiang Wu
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Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson--Nernst--Planck System

Numerical Mathematics: Theory, Methods and Applications, 2019
. In this work, we propose and analyze a second-order accurate numerical scheme, both in time and space, for the multi-dimensional Poisson-Nernst-Planck system.
Jie Ding
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