عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
شابک
شابک
9781461220480
شابک
9781461273950
شماره کتابشناسی ملی
شماره
b402862
عنوان و نام پديدآور
عنوان اصلي
Multiscale Potential Theory
نام عام مواد
[Book]
ساير اطلاعات عنواني
With Applications to Geoscience /
نام نخستين پديدآور
by Willi Freeden, Volker Michel.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Boston, MA :
نام ناشر، پخش کننده و غيره
Birkhäuser Boston,
تاریخ نشرو بخش و غیره
2004.
فروست
عنوان فروست
Applied and Numerical Harmonic Analysis
یادداشتهای مربوط به مندرجات
متن يادداشت
1 Introduction -- 2 Preliminary Tools -- 2.1 Basic Settings -- 2.2 Spherical Nomenclature -- 2.3 Sphere Oriented Potential Theory -- 2.4 Exercises -- I Well-Posed Problems -- 3 Boundary-Value Problems of Potential Theory -- 4 Boundary-Value Problems of Elasticity -- II Ill-Posed Problems -- 5 Satellite Problems -- 6 The Gravimetry Problem -- 7 Conclusion -- 8 Hints for the Solution of the Exercises -- References.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This self-contained book provides a basic foundation for students, practitioners, and researchers interested in some of the diverse new areas of multiscale (geo)potential theory. New mathematical methods are developed enabling the gravitational potential of a planetary body to be modeled and analyzed using a continuous flow of observations from land or satellite devices. Harmonic wavelet methods are introduced, as well as fast computational schemes and various numerical test examples. The work is divided into two main parts: Part I treats well-posed boundary-value problems of potential theory and elasticity; Part II examines ill-posed problems such as satellite-to-satellite tracking, satellite gravity gradiometry, and gravimetry. Both sections demonstrate how multiresolution representations yield Runge-Walsh type solutions that are both accurate in approximation and tractable in computation. Topic and key features: * Comprehensive coverage of topics which, thus far, are only scattered in journal articles and conference proceedings * Important applications and developments for future satellite scenarios; new modelling techniques involving low-orbiting satellites * Multiscale approaches for numerous geoscientific problems, including geoidal determination, magnetic field reconstruction, deformation analysis, and density variation modelling * Multilevel stabilization procedures for regularization * Treatment of the real Earth's shape as well as a spherical Earth model * Modern methods of constructive approximation * Exercises at the end of each chapter and an appendix with hints to their solutions Models and methods presented show how various large- and small-scale processes may be addressed by a single geoscientific modelling framework for potential determination. Multiscale Potential Theory may be used as a textbook for graduate-level courses in geomathematics, applied mathematics, and geophysics. The book is also an up-to-date reference text for geoscientists, applied mathematicians, and engineers.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9781461273950
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Engineering mathematics.
موضوع مستند نشده
Fourier analysis.
موضوع مستند نشده
Geography.
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Physical geography.
موضوع مستند نشده
Potential theory (Mathematics).
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Freeden, W.
نام شخص - (مسئولیت معنوی برابر )
مستند نام اشخاص تاييد نشده
Michel, Volker.
نام تنالگان _ (مسئولیت معنوی برابر)
مستند نام تنالگان تاييد نشده
SpringerLink (Online service)
مبدا اصلی
تاريخ عمليات
20190307160100.0
دسترسی و محل الکترونیکی
نام الکترونيکي
مطالعه متن کتاب اطلاعات رکورد کتابشناسی
نوع ماده
[Book]
اطلاعات دسترسی رکورد
تكميل شده
Y
