Results 71 to 79 of about 818 (79)

Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

Numerical Mathematics: Theory, Methods and Applications, 2018
We consider an approximation of second-order hyperbolic interface problems by partially penalized immersed finite element methods. In order to penalize the discontinuity of IFE functions, we add some stabilization terms at interface edges.
Qing Yang
semanticscholar   +1 more source

Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

Advances in Applied Mathematics and Mechanics, 2019
A new numerical method is proposed and investigated for solving twodimensional Black-Scholes option pricing model. This model is represented by Dirichlet initial-boundary value problem in a rectangular domain for a parabolic equation with advection ...
Limei Li
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The Legendre Galerkin-Chebyshev Collocation Method for Space Fractional Burgers-Like Equations

Numerical Mathematics: Theory, Methods and Applications, 2018
In this paper, a Legendre Galerkin Chebyshev collocation method for the Burgers-like equations with fractional nonlinear term and diffusion term is developed.
Y. Ma
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Asymptotic Results of Schwarz Waveform Relaxation Algorithm for Time Fractional Cable Equations

Communications in Computational Physics, 2019
The equioscillation principle is an important rule to fix the parameter for the Schwarz waveform relaxation (SWR) algorithm with Robin transmission conditions.
Shulin Wu, Chengming Huang
semanticscholar   +1 more source

Stability Analysis for Nonlinear Schrödinger Equations with Nonlinear Absorbing Boundary Conditions

, 2017
Local absorbing boundary conditions (LABCs) for nonlinear Schrödinger equations have been constructed in papers [PRE 78(2008) 026709; and PRE 79 (2009) 046711] using the so-called unified approach.
Jiwei Zhang, Zhenli Xu, Xiaonan Wu, Desheng Wang   +3 more
semanticscholar   +1 more source

A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain

Advances in Applied Mathematics and Mechanics, 2018
We consider the time dependent Darcy problem in a three-dimensional axisymmetric domain and, by writing the Fourier expansion of its solution with respect to the angular variable, we observe that each Fourier coefficient satisfies a system of equations ...
Ajmia Younes Orfi and Driss Yakoubi
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Numerical Analysis of Inverse Elasticity Problemwith Signorini's Condition

, 2016
An optimal control problem is considered to find a stable surface traction, which minimizes the discrepancy between a given displacement field and its estimation.
Cong Zheng, Xiaoliang Cheng, K. Liang
semanticscholar   +1 more source

Sixth-orderCompact ExtendedTrapezoidalRulesfor 2D Schrodinger Equation

, 2015
Based on high-order linear multistep methods (LMMs), we use the class of extended trapezoidal rules (ETRs) to solve boundary value problems of ordinary differential equations (ODEs), whose numerical solutions can be approximated by boundary value methods
Xiaohua Liu, Yujiang Wu, Jinyun Yuan, Yantao Wang   +3 more
semanticscholar   +1 more source

OPTIMAL L2 ESTIMATES FOR THE SEMIDISCRETE GALERKIN METHOD APPLIED TO PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA

, 2014
We propose and analyse an alternate approach to a priori error estimates for the semidiscrete Galerkin approximation to a time-dependent parabolic integro-differential equation with nonsmooth initial data. The method is based on energy arguments combined
D. Goswami, Sangita Yadav
semanticscholar   +1 more source