NUMERICAL ERROR ANALYSIS FOR CONFIGURABLE CELL SEGMENTATION PROBLEM

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Backward Error Analysis for Numerical Integrators Backward Error Analysis for Numerical Integrators

We consider backward error analysis of numerical approximations to ordinary diie-rential equations, i.e., the numerical solution is formally interpreted as the exact solution of a modiied diierential equation. A simple recursive deenition of the modiied equation is stated. This recursion is used to give a new proof of the exponentially closeness of the numerical solutions and the solutions to a...

Interface Error Analysis for Numerical Wave Propagation

The numerical error associated with finite-difference simulation of wave propagation in discontinuous media consists of two components. The first component is a higher order error that leads to grid dispersion; it can be controlled by higher-order methods. The second component results from misalignment between numerical grids and material interfaces. We provide an explicit estimate of the inter...

An Error Analysis for Numerical Multiple Integration

Backward Error Analysis for Numerical Integrators

Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methods. This is true in particular for the integration of Hamiltonian systems where backward error analysis can be used to show that a symplectic method will conserve energy over exponentially long periods of time. Such results are typically based on two aspects of backward er...