scholarly journals A sharp error estimate for the numerical solution of multivariate Dirichlet problems

1996 ◽  
Vol 75 (2) ◽  
pp. 215-229
Author(s):  
George A. Anastassiou ◽  
Alexander Bendikov
Keyword(s):  
Error Estimate ◽  
Numerical Solution ◽  
Dirichlet Problems ◽  
Sharp Error

A sharp error estimate for the fast Gauss transform

2006 ◽  
Vol 219 (1) ◽  
pp. 7-12 ◽  
Author(s):  
Xiaoliang Wan ◽  
George Em Karniadakis
Keyword(s):  
Error Estimate ◽  
Gauss Transform ◽  
Fast Gauss Transform ◽  
Sharp Error

scholarly journals A New Algorithm for Solving Terminal Value Problems of q-Difference Equations

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Yong-Hong Fan ◽  
Lin-Lin Wang
Keyword(s):  
Exact Solution ◽  
Numerical Methods ◽  
Error Estimate ◽  
Numerical Solution ◽  
Numerical Method ◽  
Difference Equations ◽  
Initial Value Problems ◽  
Convergence Speed ◽  
Initial Value ◽  
Delta Derivatives

We propose a new algorithm for solving the terminal value problems on a q-difference equations. Through some transformations, the terminal value problems which contain the first- and second-order delta-derivatives have been changed into the corresponding initial value problems; then with the help of the methods developed by Liu and H. Jafari, the numerical solution has been obtained and the error estimate has also been considered for the terminal value problems. Some examples are given to illustrate the accuracy of the numerical methods we proposed. By comparing the exact solution with the numerical solution, we find that the convergence speed of this numerical method is very fast.

scholarly journals Error estimate for optimality of distributed parameter control problems via duality

1995 ◽  
Vol 8 (2) ◽  
pp. 177-188
Author(s):  
W. L. Chan ◽  
S. P. Yung
Keyword(s):  
Error Estimate ◽  
Error Estimates ◽  
Boundary Control ◽  
Impulsive Control ◽  
Hyperbolic Systems ◽  
Distributed Parameter ◽  
Control Problems ◽  
Parameter Control ◽  
Distributed Parameter Control ◽  
Sharp Error

Sharp error estimates for optimality are established for a class of distributed parameter control problems that include elliptic, parabolic, hyperbolic systems with impulsive control and boundary control. The estimates are obtained by constructing manageable dual problems via the extremum principle.

scholarly journals A Rate for the Erdős-Turán Law

1994 ◽  
Vol 3 (2) ◽  
pp. 167-176 ◽  
Author(s):  
A. D. Barbour ◽  
Simon Tavaré
Keyword(s):  
Error Estimate ◽  
Normal Distribution ◽  
Normal Approximation ◽  
The Mean ◽  
Sharp Error

The Erdős-Turán law gives a normal approximation for the order of a randomly chosen permutation of n objects. In this paper, we provide a sharp error estimate for the approximation, showing that, if the mean of the approximating normal distribution is slightly adjusted, the error is of order log−1/2n.

scholarly journals THE NUMERICAL SOLUTION BY THE METHOD OF DIRECT INTEGRALS OF DIFFERENTIATION OF EQUATIONS HAVE AN APPLICATION IN THE GAS FILTRATION THEOREM

2020 ◽  
pp. 147-153
Author(s):  
Abdujabbor Abdurazakov ◽  
Nasiba Makhmudova ◽  
Nilufar Mirzamakhmudova
Keyword(s):  
Differential Equation ◽  
Approximate Solution ◽  
Error Estimate ◽  
Numerical Solution ◽  
Direct Method ◽  
Gas Filtration ◽  
Sweep Method ◽  
Time Step

On the basis of the direct method and a combination of differential sweep, the article developed a calculated algorithm for solving gas filtration, thereby taking into account the convergence of the approximate solution to the exact one. KEYWORDS: direct method, sweep method, differential equation, time step, convergence, approximate solution, error estimate.

Sign in / Sign up

Export Citation Format

Share Document