Global methods for solving systems of nonlinear algebraic equations

ABS methods for nonlinear systems of algebraic equations

 Abstract    This paper gives a survey of the theory and practice of nonlinear ABS methods including various types of generalizations and computer testing. We also show three applications to special problems, two of which are new.

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

ABS methods for nonlinear systems of algebraic equations

This paper gives a survey of the theory and practice of nonlinear ABS methods including various types of generalizations and computer testing. We also show three applications to special problems, two of which are new.

Seventh-order iterative algorithm free from second derivative for solving algebraic nonlinear equations

Parallel Methods for Solving Nonlinear Block Bordered Systems of Equations

A group of parallel algorithms, and their implementation for solving a special class of nonlinear equations, are discussed. The type of sparsity occurring in these problems, which arise in VLSI design, structural engineering, and many other areas, is called a block bordered structure. The explicit method and several implicit methods are described, and the new corrected implicit method for solvi...