Iterative Methods for Solving the Cauchy Problem for the Helmholtz Equation.

Format:

Book

Author/Creator:

Mpinganzima, Lydie.

Series:

Linköping Studies in Science and Technology : Dissertations

Language:

English

Subjects (All):

Iterative methods (Mathematics).

Helmholtz equation.

Physical Description:

1 online resource (21 pages)

Edition:

1st ed.

Other Title:

Linköping Studies in Science and Technology

Place of Publication:

Linköping : Linköping University Electronic Press, 2014.

Summary:

This book focuses on iterative methods for solving the Cauchy problem associated with the Helmholtz equation, a significant inverse problem in acoustics and field measurements. It explores how to recover solutions in a domain when only partial boundary data is available. The work addresses the ill-posed nature of the problem, where small errors in data can lead to large errors in solutions. By introducing modifications such as an artificial interior boundary and using conjugate gradient type methods, the author Lydie Mpinganzima develops techniques to restore stability and improve convergence speed. The book is intended for mathematicians and engineers interested in numerical methods for partial differential equations, particularly the Helmholtz equation. Generated by AI.

Contents:

Intro

Abstract

Acknowledgements

Popul¨arvetenskaplig sammanfattning

List of Papers

Contents

Introduction

1 The alternating iterative method

2 Summary of papers

Paper 0

Paper 1

Paper 2

Paper 3

References.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

ISBN:

9789175193502

9175193507

OCLC:

927227481