scholarly journals Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces

2021 ◽  
Vol 59 (5) ◽  
pp. 2698-2721
Author(s):  
Klaus Deckelnick ◽  
Robert Nürnberg
Keyword(s):  
Finite Difference ◽  
Error Analysis ◽  
Difference Scheme ◽  
Mean Curvature ◽  
Finite Difference Scheme ◽  
Mean Curvature Flow ◽  
Curvature Flow

scholarly journals PRACTICAL ERROR ANALYSIS FOR THE THREE-LEVEL BILINEAR FEM AND FINITE-DIFFERENCE SCHEME FOR THE 1D WAVE EQUATION WITH NON-SMOOTH DATA

2018 ◽  
Vol 23 (3) ◽  
pp. 359-378
Author(s):  
Alexander Zlotnik ◽  
Olga Kireeva
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Error Analysis ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Free Term ◽  
The Rich ◽  
Initial Boundary Value

We deal with the standard three-level bilinear FEM and finite-difference scheme with a weight to solve the initial-boundary value problem for the 1D wave equation. We consider the rich collection of initial data and the free term which are the Dirac δ-functions, discontinuous, continuous but with discontinuous derivatives and from the Sobolev spaces, accomplish the practical error analysis in the L2, L1, energy and uniform norms as the mesh re_nes and compare results with known theoretical error bounds.

scholarly journals Stability and Error Analysis of the Semidiscretized Fractional Nonlocal Thermistor Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
M. R. Sidi Ammi ◽  
A. El Hachimi
Keyword(s):  
Finite Difference ◽  
Error Analysis ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Thermistor Problem ◽  
Temporal Discretization ◽  
Problem Stability ◽  
Stability And Error Analysis

A finite difference scheme is proposed for temporal discretization of the nonlocal time-fractional thermistor problem. Stability and error analysis of the proposed scheme are provided.

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