Meissl, Peter
Overview
Works:  31 works in 96 publications in 4 languages and 408 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Contributor 
Classifications:  GC1, 551.46008 S 
Publication Timeline
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Most widely held works by
Peter Meissl
A priori prediction of roundoff error accumulation in the solution of a superlarge geodetic normal equation system by
Peter Meissl(
Book
)
7 editions published in 1980 in English and held by 149 WorldCat member libraries worldwide
7 editions published in 1980 in English and held by 149 WorldCat member libraries worldwide
Beiträge zur Theorie der geodätischen Netze im Raum by
Karl Rinner(
Book
)
5 editions published in 1969 in German and held by 46 WorldCat member libraries worldwide
5 editions published in 1969 in German and held by 46 WorldCat member libraries worldwide
Least squares adjustment : a modern approach by
Peter Meissl(
Book
)
6 editions published in 1982 in English and Undetermined and held by 35 WorldCat member libraries worldwide
6 editions published in 1982 in English and Undetermined and held by 35 WorldCat member libraries worldwide
Contributions of the Graz Group to the XVI General Assembly of IUGG/IAG in Grenoble 1975 by
International Union of Geodesy and Geophysics(
Book
)
6 editions published in 1975 in English and German and held by 22 WorldCat member libraries worldwide
6 editions published in 1975 in English and German and held by 22 WorldCat member libraries worldwide
Strength analysis of levelingtype networks : an application of random walk theory by
K Borre(
Book
)
6 editions published in 1974 in 3 languages and held by 18 WorldCat member libraries worldwide
6 editions published in 1974 in 3 languages and held by 18 WorldCat member libraries worldwide
The use of finite elements in physical geodesy by
Peter Meissl(
Book
)
7 editions published in 1981 in English and held by 15 WorldCat member libraries worldwide
Currently used methods of computational physical geodesy are compared with respect to their efficiency during production runs on a computer. These methods include: (1) Least Squares adjustment with respect to spherical harmonics; (2) Surface layers, buried masses and related methods; (3) Least squares collocation; (4) Representation of the potential by spline functions; and (5) Explicit integral formulas. As an alternative, the feasibility of applying the finite element method to the fundamental problems of physical geodesy is investigated. The methods listed under (1)(4) can be dramatically speeded up if the distribution of data and weights satisfies certain symmetryrequirements which are rather stringent. Method (5) relies altogether on a special type and distribution of data. In the absence of data homogeneity and regularity, the finite element method is asymptotically superior with respect to computational efficiency. Let N denote the number of parameters necessary to describe the variation of the potential on the reference surface. The computational effort associated with methods (1)(4) grows proportional to N cubed. That one resulting from finite elements grows proportional to N to the 3/2 power. The constants of proportionality are, however, unfavorable for the finite element method. Hence its superiority comes through only for large values of N, which, in case of a global solution, corresponds to data averaged over 2 deg x 2 deg blocks. (Author)
7 editions published in 1981 in English and held by 15 WorldCat member libraries worldwide
Currently used methods of computational physical geodesy are compared with respect to their efficiency during production runs on a computer. These methods include: (1) Least Squares adjustment with respect to spherical harmonics; (2) Surface layers, buried masses and related methods; (3) Least squares collocation; (4) Representation of the potential by spline functions; and (5) Explicit integral formulas. As an alternative, the feasibility of applying the finite element method to the fundamental problems of physical geodesy is investigated. The methods listed under (1)(4) can be dramatically speeded up if the distribution of data and weights satisfies certain symmetryrequirements which are rather stringent. Method (5) relies altogether on a special type and distribution of data. In the absence of data homogeneity and regularity, the finite element method is asymptotically superior with respect to computational efficiency. Let N denote the number of parameters necessary to describe the variation of the potential on the reference surface. The computational effort associated with methods (1)(4) grows proportional to N cubed. That one resulting from finite elements grows proportional to N to the 3/2 power. The constants of proportionality are, however, unfavorable for the finite element method. Hence its superiority comes through only for large values of N, which, in case of a global solution, corresponds to data averaged over 2 deg x 2 deg blocks. (Author)
Ein ComputerProgrammsystem zur Verdichtung trigonometrischer Netze : allgemeine Beschreibung und Benützeranleitung by
Peter Meissl(
Book
)
5 editions published in 1977 in German and Undetermined and held by 13 WorldCat member libraries worldwide
5 editions published in 1977 in German and Undetermined and held by 13 WorldCat member libraries worldwide
Strength analysis of distance networks by
Norbert Bartelme(
Book
)
5 editions published in 1974 in English and German and held by 12 WorldCat member libraries worldwide
5 editions published in 1974 in English and German and held by 12 WorldCat member libraries worldwide
Taschenrechner HewlettPackard HP45 : die Benützung und Anwendungsbeispiele für die Vermessungstechnik by
Josef Friedl(
Book
)
3 editions published in 1974 in German and held by 10 WorldCat member libraries worldwide
3 editions published in 1974 in German and held by 10 WorldCat member libraries worldwide
IV. Fortbildungskurs für Praktiker des Vermessungswesens : an der Technischen Hochschule in Graz vom 25. bis 27. Nov. 1974;
Vorträge by
1974, Graz> Fortbildungskurs für Praktiker des Vermessungswesens. <4(
Book
)
4 editions published in 1975 in German and Undetermined and held by 9 WorldCat member libraries worldwide
4 editions published in 1975 in German and Undetermined and held by 9 WorldCat member libraries worldwide
Microcomputer Compucorp 320 G and 322 G : die Benützung und Anwendungsbeispiele für die Vermessungstechnik by O Bittmann(
Book
)
3 editions published in 1973 in German and held by 8 WorldCat member libraries worldwide
3 editions published in 1973 in German and held by 8 WorldCat member libraries worldwide
Preparations for the numerical evaluation of second order Molodenskytype formulas by
Peter Meissl(
Book
)
3 editions published in 1971 in English and held by 7 WorldCat member libraries worldwide
A set of formulas proposed by Moritz and constituting a second order solution of Molodensky's problem has been transformed in a way that the resulting formulas are numerically tractable. The difficulty in the original formulas was the occurrence of singular integrals. Their regularization introduces derivatives of gravity anomalies and terrain heights and necessitates a numerical differentiation procedure. Spline function interpolation has been chosen to deal with this. The existing truncation theory has been extended to cover more sophisticated truncation procedures as well as a sucdession of heavier and heavier smoothed versions of the integrand
3 editions published in 1971 in English and held by 7 WorldCat member libraries worldwide
A set of formulas proposed by Moritz and constituting a second order solution of Molodensky's problem has been transformed in a way that the resulting formulas are numerically tractable. The difficulty in the original formulas was the occurrence of singular integrals. Their regularization introduces derivatives of gravity anomalies and terrain heights and necessitates a numerical differentiation procedure. Spline function interpolation has been chosen to deal with this. The existing truncation theory has been extended to cover more sophisticated truncation procedures as well as a sucdession of heavier and heavier smoothed versions of the integrand
Empfohlene Algorithmen zur Programmierung geodätischer Rechenaufgaben by
Peter Meissl(
Book
)
4 editions published in 1976 in German and held by 6 WorldCat member libraries worldwide
4 editions published in 1976 in German and held by 6 WorldCat member libraries worldwide
On the linearization of the geodetic boundary value problem by
Peter Meissl(
Book
)
4 editions published in 1971 in English and held by 6 WorldCat member libraries worldwide
The geodetic boundary value problem consists in determining an unknown closed surface from the boundary values of an external potential and its gradient. A rigorous mathematical formulation of this problem is given leading to a system of nonlinear integrodifferential equations. The formalism of differentiation in function spaces is applied yielding a linearized version which involves no further neglections and approximations. Tensor calculus is used in linearizing the various differential geometric quantities. The results are specialized to a linearization with respect to the equipotential sphere in which case the formulas of Stokes and Vening Meinesz are simultaneously obtained. (Author)
4 editions published in 1971 in English and held by 6 WorldCat member libraries worldwide
The geodetic boundary value problem consists in determining an unknown closed surface from the boundary values of an external potential and its gradient. A rigorous mathematical formulation of this problem is given leading to a system of nonlinear integrodifferential equations. The formalism of differentiation in function spaces is applied yielding a linearized version which involves no further neglections and approximations. Tensor calculus is used in linearizing the various differential geometric quantities. The results are specialized to a linearization with respect to the equipotential sphere in which case the formulas of Stokes and Vening Meinesz are simultaneously obtained. (Author)
A study of covariance functions related to the earth's disturbing potential by
Peter Meissl(
Book
)
4 editions published in 1971 in English and held by 5 WorldCat member libraries worldwide
The following quantities are considered: geoidal undulations, gravity anomalies, deflections of the vertical, a fictitious surface density, the vertical gradient of gravity anomalies. These quantities are interrelated by linear operators having the spherical harmonics as eigenfunctions. If the covariance of one of these quantities is specified, that of the others can be computed. Thereby rigorous bounds for the ratios of the different variances can be established. Though the earth's disturbing potential can be represented by any of the above quantities, there are differences in the stability of the resulting solutions. Attention is focused on potentials obtained from a combination of satellite information and gravimetry. In that case the introduced quantities are considered as residuals with respect to a geoid resulting from the adjusted lower degree harmonic coefficients. It is shown that the covariance of any one of the residual quantities tends to have certain theoretical properties. These are a predetermined number of zeros as well as negative correlation at certain predetermined distances. A comparison has been performed between the gravity anomaly residuals with respect to a low order geoid and mean 5(o) degree x 5 degree block anomalies having uncorrelated errors. Compared are the resulting errors in geoidal undulations and deflections of the vertical. (Author)
4 editions published in 1971 in English and held by 5 WorldCat member libraries worldwide
The following quantities are considered: geoidal undulations, gravity anomalies, deflections of the vertical, a fictitious surface density, the vertical gradient of gravity anomalies. These quantities are interrelated by linear operators having the spherical harmonics as eigenfunctions. If the covariance of one of these quantities is specified, that of the others can be computed. Thereby rigorous bounds for the ratios of the different variances can be established. Though the earth's disturbing potential can be represented by any of the above quantities, there are differences in the stability of the resulting solutions. Attention is focused on potentials obtained from a combination of satellite information and gravimetry. In that case the introduced quantities are considered as residuals with respect to a geoid resulting from the adjusted lower degree harmonic coefficients. It is shown that the covariance of any one of the residual quantities tends to have certain theoretical properties. These are a predetermined number of zeros as well as negative correlation at certain predetermined distances. A comparison has been performed between the gravity anomaly residuals with respect to a low order geoid and mean 5(o) degree x 5 degree block anomalies having uncorrelated errors. Compared are the resulting errors in geoidal undulations and deflections of the vertical. (Author)
Einfache Koordinatenrechnungen in der Ebene by
Otto Bittmann(
Book
)
2 editions published in 1974 in German and held by 4 WorldCat member libraries worldwide
2 editions published in 1974 in German and held by 4 WorldCat member libraries worldwide
Probabilistic error analysis of airborne gravimetry by
Peter Meissl(
Book
)
3 editions published in 1970 in English and held by 4 WorldCat member libraries worldwide
An error analysis based on second order stochastic process theory is performed for airborne gravimetry. Only gravimetry in the traditional sense is considered as opposed to gravitygradient methods. Stochastic error models are developed and computer programs for the final formulas have been written. Sample computations indicate that gravity averages over about 100 km may be seriously deviation from the optimal filter due to lack of knowledge about the medium freuquent portion of the power spectra of gravity variation and noise. (Author)
3 editions published in 1970 in English and held by 4 WorldCat member libraries worldwide
An error analysis based on second order stochastic process theory is performed for airborne gravimetry. Only gravimetry in the traditional sense is considered as opposed to gravitygradient methods. Stochastic error models are developed and computer programs for the final formulas have been written. Sample computations indicate that gravity averages over about 100 km may be seriously deviation from the optimal filter due to lack of knowledge about the medium freuquent portion of the power spectra of gravity variation and noise. (Author)
Punktverwaltung mittels Massenspeicher by
Peter Meissl(
Book
)
2 editions published in 1976 in Undetermined and held by 4 WorldCat member libraries worldwide
2 editions published in 1976 in Undetermined and held by 4 WorldCat member libraries worldwide
Zui xiao er cheng ping cha jin dai fang fa by sai er Mai(
Book
)
2 editions published in 1985 in Chinese and held by 3 WorldCat member libraries worldwide
2 editions published in 1985 in Chinese and held by 3 WorldCat member libraries worldwide
Empfohlene Algorithmen zur Programmierung geodätischer Rechenaufgaben by
Norbert Bartelme(
Book
)
2 editions published in 1980 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1980 in German and held by 2 WorldCat member libraries worldwide
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Related Identities
 National Geodetic Survey (U.S.)
 United States National Oceanic and Atmospheric Administration
 Rinner, Karl Author Editor
 Killian, Karl
 United States National Ocean Service
 Borre, K. (Kai) Author
 Bartelme, Norbert Author
 International Association of Geodesy
 International Union of Geodesy and Geophysics
 Moritz, H. Editor
Associated Subjects
Boundary value problems Differential equations, Nonlinear Error analysis (Mathematics) Finite element method Geodesy GeodesyComputer programs GeodesyData processing GeodesyMathematics GeodesyStudy and teaching Geodetic astronomy Gravity anomalies GravityMeasurement Integral equationsNumerical solutions Microcomputers Nets (Geodesy) Random walks (Mathematics) Roundoff errors Satellite geodesy Spherical harmonics Stochastic processes SurveyingData processing