Change of boundary: towards a mathematical foundation of global gravity models
نویسندگان
چکیده
Abstract Change of boundary is a method that iteratively downward continues data from star-shaped to regular surface, such as the sphere or ellipsoid revolution, and then solves value problem using continued on changed boundary. Although belongs concepts involved in development recent high-degree Earth’s gravity models, it still unclear whether iterations converge true solution for boundaries complex as, instance, surface. In this paper, we revisit show convergence terms Cesaro limit can be achieved under assumption operator performing non-expansive. The validity is, however, not proved. Therefore, examine hypothesis numerically various complexity. We start with simple synthetic topography defined by Legendre polynomial move more realistic finite-degree shapes asteroids Bennu Eros. numerical experiments indicate valid long deviates too far truncation degree model high (the Bennu). Otherwise, seems false Eros case). Finding an analytical condition separate between which change converges/diverges remains open issue.
منابع مشابه
Towards a Mathematical Foundation For Design Patterns
We identify a compact and sufficient set of building blocks which constitute most design patterns of the GoF catalog: uniform sets of classes or functions, function clans, class hierarchies, and regularities (morphisms) thereof. The abstractions observed are manifested within a model in symbolic logic and defined in LePUS, a declarative, higher order language. LePUS formulae concisely prescribe...
متن کاملa tripartite model of efl teachers attributions, burnout, and self-regulation: towards the prospects of effective teaching
همطالعه حاضر به ارائه مدلی برای آموزش موثر زبان انگلیسی می پردازد. مدل حاضر از سه عامل تاثیر گذار در کارایی تدریس معلمان زبان انگلیسی بهره می برد. این سه عامل شامل سبکهای اسنادی، خود تنطیمی و فرسودگی شغلی معلمان ایرانی زبان انگلیسی می باشد. رساله مورد نظر درچهار فاز طراحی شده است: فاز اول شامل طراحی و رواسازی پرسشنامه سبکهای اسنادی معلمان زبان انگلیسی و فاز دوم شامل استفاده از این پرسشنا...
Article 6.3.4.3 Mathematical Models of Human-Induced Global Change
Complex mathematical models requiring major computing power to tease out their implications are currently the main theoretical tool used to understand and predict the response of the climate system to external forcing, such as that resulting from the current human perturbation to greenhouse gas concentrations in the atmosphere. These models developed quickly over the last half of the 20 century...
متن کاملTowards a Mathematical Foundation of Immunology and Amino Acid Chains
We attempt to set a mathematical foundation of immunology and amino acid chains. To measure the similarities of these chains, a kernel on strings is defined using only the sequence of the chains and a good amino acid substitution matrix (e.g. BLOSUM62). The kernel is used in learning machines to predict binding affinities of peptides to human leukocyte antigen DR (HLA-DR) molecules. On both fix...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of geodesy
سال: 2023
ISSN: ['1432-1394', '0949-7714']
DOI: https://doi.org/10.1007/s00190-023-01748-8