中文簡(jiǎn)介

本雜志旨在提供關(guān)于逆問(wèn)題和不適定問(wèn)題的理論、數(shù)值和應(yīng)用的原創(chuàng)文章。這些逆問(wèn)題出現(xiàn)在數(shù)學(xué)物理與數(shù)學(xué)分析、地球物理、聲學(xué)、電動(dòng)力學(xué)、層析成像、醫(yī)學(xué)、生態(tài)學(xué)、金融數(shù)學(xué)等領(lǐng)域。還發(fā)表了關(guān)于反問(wèn)題求解新數(shù)值算法的構(gòu)造和證明的文章?！赌鎲?wèn)題與不適定問(wèn)題》雜志上刊載的高質(zhì)量論文具有創(chuàng)新性和專(zhuān)題研究?jī)r(jià)值。包括以下主題:逆問(wèn)題存在唯一性定理穩(wěn)定的估計(jì)優(yōu)化與識(shí)別問(wèn)題數(shù)值方法病態(tài)問(wèn)題正規(guī)化理論算子方程積分幾何應(yīng)用程序地球物理、電動(dòng)力學(xué)和聲學(xué)中的反演問(wèn)題生態(tài)學(xué)中的逆問(wèn)題醫(yī)學(xué)中的逆問(wèn)題和不適定問(wèn)題層析成像的數(shù)學(xué)問(wèn)題

英文簡(jiǎn)介

This journal aims to present original articles on the theory, numerics and applications of inverse and ill-posed problems. These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophysics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc. Articles on the construction and justification of new numerical algorithms of inverse problem solutions are also published.Issues of the Journal of Inverse and Ill-Posed Problems contain high quality papers which have an innovative approach and topical interest.The following topics are covered:Inverse problemsexistence and uniqueness theoremsstability estimatesoptimization and identification problemsnumerical methodsIll-posed problemsregularization theoryoperator equationsintegral geometryApplicationsinverse problems in geophysics, electrodynamics and acousticsinverse problems in ecologyinverse and ill-posed problems in medicinemathematical problems of tomography