找回密碼
 To register

QQ登錄

只需一步,快速開始

掃一掃,訪問微社區(qū)

打印 上一主題 下一主題

Titlebook: Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions; Fernando Sansò,Michael G.‘Sideris Book 2017

[復(fù)制鏈接]
查看: 49401|回復(fù): 42
樓主
發(fā)表于 2025-3-21 19:09:33 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions
編輯Fernando Sansò,Michael G.‘Sideris
視頻videohttp://file.papertrans.cn/384/383109/383109.mp4
概述Shows for the first time the theoretical equivalence of the various geodetic boundary value problems, with and without terrain reductions.Offers a rigorous, alternative interpretation of the usual dow
叢書名稱SpringerBriefs in Earth Sciences
圖書封面Titlebook: Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions;  Fernando Sansò,Michael G.‘Sideris Book 2017
描述.This book offers a new approach to interpreting the geodetic boundary value problem, successfully obtaining the solutions of the?Molodensky and Stokes boundary value problems (BVPs) with the help of downward continuation (DC) based methods. Although DC is known to be an improperly posed operation, classical methods seem to provide numerically sensible results, and therefore it can be concluded that such classical methods must in fact be manifestations of different, mathematically sound approaches...Here, the authors first prove the equivalence of Molodensky’s and Stoke‘s approaches with Helmert’s reduction in terms of both BVP formulation and BVP solutions by means of the DC method. They then go on to show that this is not merely a downward continuation operation, and provide more rigorous interpretations of the DC approach as a change of boundary approach and as a pseudo BVP solution approach..
出版日期Book 2017
關(guān)鍵詞Molodensky‘s Problem; Stokes‘s Problem; Helmert Reduction; Geoid/quasi-Geoid Determination; Analytical/D
版次1
doihttps://doi.org/10.1007/978-3-319-46358-2
isbn_softcover978-3-319-46357-5
isbn_ebook978-3-319-46358-2Series ISSN 2191-5369 Series E-ISSN 2191-5377
issn_series 2191-5369
copyrightThe Author(s) 2017
The information of publication is updating

書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions影響因子(影響力)




書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions影響因子(影響力)學(xué)科排名




書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions網(wǎng)絡(luò)公開度




書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions被引頻次




書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions被引頻次學(xué)科排名




書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions年度引用




書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions年度引用學(xué)科排名




書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions讀者反饋




書目名稱Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions讀者反饋學(xué)科排名




單選投票, 共有 1 人參與投票
 

1票 100.00%

Perfect with Aesthetics

 

0票 0.00%

Better Implies Difficulty

 

0票 0.00%

Good and Satisfactory

 

0票 0.00%

Adverse Performance

 

0票 0.00%

Disdainful Garbage

您所在的用戶組沒有投票權(quán)限
沙發(fā)
發(fā)表于 2025-3-21 21:14:55 | 只看該作者
On the Linearization Band,on band, namely the possibility to define many linearized Molodensky problems, starting from different zero order approximations, in such a way that they all lead to the same final solution, at least within pre-established error bounds. In doing so, a flaw in the classical linearization procedure ha
板凳
發(fā)表于 2025-3-22 01:50:13 | 只看該作者
On the Equivalent BVPs of Stokes and Helmert, and Their Relations to the Molodensky BVP by Analytict the boundary values and the solutions of the Helmert Molodensky (HM) and Helmert Stokes (HS) BVPs, and show their equivalence when they are related to each other by the so-called “analytical (downward) continuation” process in linear approximation.
地板
發(fā)表于 2025-3-22 05:00:50 | 只看該作者
5#
發(fā)表于 2025-3-22 09:23:19 | 只看該作者
The Change of Boundary Approach, the actual complicated boundary to a Bjerhammer sphere, solving the corresponding BVP by a Poisson kernel and then going to residuals. A rigorous proof of convergence of the above method is still lacking, although a fine perturbative analysis conducted in Appendix A seems to answer in positive sens
6#
發(fā)表于 2025-3-22 16:14:34 | 只看該作者
The Pseudo-Boundary Value Problem (,-BVP) Interpretation,a condition complementary to harmonicity. Such an approach provide, so to say, the solution of an approximate BVP. The analysis shows that this point of view is capable of explaining the good results obtained up?to a first order term, in terms of the ratio between height of the surface . on the sphe
7#
發(fā)表于 2025-3-22 18:13:54 | 只看該作者
One Further Example, Some Remarks and Conclusions,to mimic the effect of a topography by introducing lateral density variations between the two spheres. This still allows analytical continuation solutions and we compare once more Molodensky’s and Helmert’s solutions in terms of DC. The equivalence then comes out quite evidently, showing that if the
8#
發(fā)表于 2025-3-23 01:07:49 | 只看該作者
9#
發(fā)表于 2025-3-23 03:00:33 | 只看該作者
,Die Verwendung der künstlichen Seide,on band, namely the possibility to define many linearized Molodensky problems, starting from different zero order approximations, in such a way that they all lead to the same final solution, at least within pre-established error bounds. In doing so, a flaw in the classical linearization procedure ha
10#
發(fā)表于 2025-3-23 09:06:49 | 只看該作者
Die Indigosole und ihre Verwendungt the boundary values and the solutions of the Helmert Molodensky (HM) and Helmert Stokes (HS) BVPs, and show their equivalence when they are related to each other by the so-called “analytical (downward) continuation” process in linear approximation.
 關(guān)于派博傳思  派博傳思旗下網(wǎng)站  友情鏈接
派博傳思介紹 公司地理位置 論文服務(wù)流程 影響因子官網(wǎng) 吾愛論文網(wǎng) 大講堂 北京大學(xué) Oxford Uni. Harvard Uni.
發(fā)展歷史沿革 期刊點(diǎn)評 投稿經(jīng)驗(yàn)總結(jié) SCIENCEGARD IMPACTFACTOR 派博系數(shù) 清華大學(xué) Yale Uni. Stanford Uni.
QQ|Archiver|手機(jī)版|小黑屋| 派博傳思國際 ( 京公網(wǎng)安備110108008328) GMT+8, 2025-10-10 23:49
Copyright © 2001-2015 派博傳思   京公網(wǎng)安備110108008328 版權(quán)所有 All rights reserved
快速回復(fù) 返回頂部 返回列表
保山市| 定陶县| 遵化市| 商都县| 石楼县| 绥德县| 广昌县| 沛县| 湘阴县| 科尔| 石城县| 张家界市| 洛浦县| 运城市| 灯塔市| 上虞市| 乡宁县| 育儿| 乌恰县| 墨玉县| 河池市| 延津县| 射阳县| 库车县| 巨野县| 华池县| 玉溪市| 寻乌县| 银川市| 大埔县| 游戏| 玉山县| 达孜县| 莫力| 凌海市| 马鞍山市| 金沙县| 延庆县| 辽中县| 姜堰市| 沭阳县|