Stability of Difference
نویسندگان
چکیده
with A a diagonal matrix. Appropriate boundary and initial conditions are given. The amplification matrix Q(£) need not be diagonal. However, he required that |Q(£)| ^ 1We use certain results in matrix theory and Wiener-Hopf factorization to replace this restrictive assumption by certain reasonable assumptions on accuracy of Q(£) and smoothness of an associated positive-definite symmetric matrix. This technique will be important in half-space problems in many space variables since for such problems the amplification matrix will certainly not be diagonal. |
منابع مشابه
Effects of geometrical and geomechanical properties on slope stability of open-pit mines using 2D and 3D finite difference methods
Slope stability analysis is one of the most important problems in mining and geotechnical engineering. Ignoring the importance of these problems can lead to significant losses. Selecting an appropriate method to analyze the slope stability requires a proper understanding of how different factors influence the outputs of the analyses. This paper evaluates the effects of considering the real geom...
متن کاملDifference in Hamstring-to-Quadriceps Ratio and Dynamic Stability between Limbs in Elderly People
Purpose: previous studies have suggested that thigh muscle imbalance may be a risk factor for knee injury. The Present study aimed to compare Hamstring-to-Quadriceps (H:Q) Ratio and dynamic stability between the two lower limbs of elderly people. Methods: This was a correlational study and by nonprobability sampling 19 healthy community doweling elderly (age=65.93±3.53 yrs.) p...
متن کاملA comparison of the accuracy and dimensional stability between two silicon impression materials (Speedex and Irasil)
A comparison of the accuracy and dimensional stability between two silicon impression materials (Speedex and Irasil) Dr. M. Sabouhi* - Dr. M. Dakhilalian** - Dr. N. Nehchiri*** *- Assistant Professor of Fixed Prosthodontics Dept. - Faculty of Dentistry – Isfahan University of Medical Sciences. **- Member of Fixed Prosthodontics Dept. - Faculty of Dentistry – Isfahan University of Medical Scienc...
متن کاملAPPROXIMATION OF STOCHASTIC PARABOLIC DIFFERENTIAL EQUATIONS WITH TWO DIFFERENT FINITE DIFFERENCE SCHEMES
We focus on the use of two stable and accurate explicit finite difference schemes in order to approximate the solution of stochastic partial differential equations of It¨o type, in particular, parabolic equations. The main properties of these deterministic difference methods, i.e., convergence, consistency, and stability, are separately developed for the stochastic cases.
متن کاملElastic stability of columns with variable flexural rigidity under arbitrary axial load using the finite difference method
Abstract: In this paper, the finite difference method (FDM) is applied to investigate the stability analysis and buckling load of columns with variable flexural rigidity, different boundary conditions and subjected to variable axial loads. Between various mathematical techniques adopted to solve the equilibrium equation, the finite difference method, especially in its explicit formulat...
متن کاملConvergence, Consistency and Stability in Fuzzy Differential Equations
In this paper, we consider First-order fuzzy differential equations with initial value conditions. The convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized H-differentiability, are studied. Then the local truncation error is defined and sufficient conditions for convergence, consistency and stability of ...
متن کامل