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Parks, Harold R.

Compute Distance To:
 Author ID: parks.harold-r Published as: Parks, Harold R.; Parks, Harold; Parks, H. R. External Links: MGP · Wikidata · GND
 Documents Indexed: 46 Publications since 1977, including 8 Books Reviewing Activity: 114 Reviews
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Co-Authors

 22 single-authored 12 Krantz, Steven George 4 Pitts, Jon T. 2 McGown, Kevin J. 2 Ziemer, William Paul 1 Allard, William K. 1 Duncan, John 1 Fleming, Wendell Helms 1 Hardt, Robert M. 1 Lancaster, Kirk E. 1 McCarthy, John Edward 1 Schori, Richard M. 1 Vaaler, Leslie 1 Wermer, John 1 Wills, Dean C. 1 Woods, Walter B.
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Serials

 5 Journal of Mathematical Analysis and Applications 3 Indiana University Mathematics Journal 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Computational and Applied Mathematics 2 The Journal of Geometric Analysis 2 The Australian Journal of Mathematical Analysis and Applications 1 American Mathematical Monthly 1 Journal d’Analyse Mathématique 1 Mathematics Magazine 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 SIAM Journal on Scientific and Statistical Computing 1 Communications in Partial Differential Equations 1 Elemente der Mathematik 1 Notices of the American Mathematical Society 1 SIAM Journal on Scientific Computing 1 International Journal of Applied Mathematics and Statistics 1 Modern Birkhäuser Classics 1 Birkhäuser Advanced Texts. Basler Lehrbücher 1 Cornerstones
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Fields

 25 Calculus of variations and optimal control; optimization (49-XX) 11 Differential geometry (53-XX) 9 Real functions (26-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Convex and discrete geometry (52-XX) 5 Measure and integration (28-XX) 4 Numerical analysis (65-XX) 3 Number theory (11-XX) 3 Partial differential equations (35-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Computer science (68-XX)

Citations contained in zbMATH Open

26 Publications have been cited 536 times in 498 Documents Cited by Year
A primer of real analytic functions. 2nd ed. Zbl 1015.26030
Krantz, Steven G.; Parks, Harold R.
2002
The implicit function theorem. History, theory, and applications. Zbl 1012.58003
Krantz, Steven G.; Parks, Harold R.
2002
A primer of real analytic functions. Zbl 0767.26001
Krantz, Steven; Parks, Harold R.
1992
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
2008
Distance to $$C^k$$ hypersurfaces. Zbl 0431.57009
Krantz, Steven G.; Parks, Harold R.
1981
The geometry of domains in space. Zbl 0929.26001
Krantz, Steven G.; Parks, Harold R.
1999
The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003
Krantz, Steven G.; Parks, Harold R.
2013
Explicit determination of area minimizing hypersurfaces. Zbl 0385.49026
Parks, Harold
1977
Explicit determination of area minimizing hypersurfaces. II. Zbl 0644.53007
Parks, Harold R.
1986
On the vector sum of two convex sets in space. Zbl 0728.52003
Krantz, Steven G.; Parks, Harold R.
1991
Numerical approximation of parametric oriented area-minimizing hypersurfaces. Zbl 0745.65045
Parks, Harold R.
1992
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
2006
Jacobi fields and regularity of functions of least gradients. Zbl 0605.49027
Parks, Harold R.; Ziemer, William P.
1984
Nonlinear conditions for differentiability of functions. Zbl 0632.58008
Duncan, John; Krantz, Steven G.; Parks, Harold R.
1985
Computing least area hypersurfaces spanning arbitrary boundaries. Zbl 0876.49033
Parks, Harold R.; Pitts, Jon T.
1997
Soap-film-like minimal surfaces spanning knots. Zbl 0757.49028
Parks, Harold R.
1992
Sums of non-integral powers. Zbl 1160.11310
Parks, Harold R.
2004
The least-gradient method for computing area minimizing hypersurfaces spanning arbitrary boundaries. Zbl 0857.65072
Parks, H. R.; Pitts, J. T.
1996
An elementary calculation of the dihedral angle of the regular $$n$$-simplex. Zbl 1028.51025
Parks, Harold R.; Wills, Dean C.
2002
The generalization of Faulhaber’s formula to sums of non-integral powers. Zbl 1176.11004
McGown, Kevin J.; Parks, Harold R.
2007
Some new constructions and estimates in the problem of least area. Zbl 0402.49034
Parks, Harold
1979
Purely unrectifiable sets with large projections. Zbl 1175.28003
Parks, Harold R.
2009
A method for computing non-parametric area minimizing surfaces over n dimensional domains, together with a priori error estimates. Zbl 0362.49030
Parks, Harold R.
1977
An application of the Cauchy-Kowalewsky theorem: The minimal surface equation at corners. Zbl 0761.35003
Parks, Harold
1989
Existence and Lipschitz regularity of functions minimizing integrals of certain positively homogeneous integrands. Zbl 0651.49019
Parks, Harold R.
1988
Symmetrized-lexicographic order and the method of points. Zbl 1102.68102
Parks, Harold R.
2006
The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003
Krantz, Steven G.; Parks, Harold R.
2013
Purely unrectifiable sets with large projections. Zbl 1175.28003
Parks, Harold R.
2009
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
2008
The generalization of Faulhaber’s formula to sums of non-integral powers. Zbl 1176.11004
McGown, Kevin J.; Parks, Harold R.
2007
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
2006
Symmetrized-lexicographic order and the method of points. Zbl 1102.68102
Parks, Harold R.
2006
Sums of non-integral powers. Zbl 1160.11310
Parks, Harold R.
2004
A primer of real analytic functions. 2nd ed. Zbl 1015.26030
Krantz, Steven G.; Parks, Harold R.
2002
The implicit function theorem. History, theory, and applications. Zbl 1012.58003
Krantz, Steven G.; Parks, Harold R.
2002
An elementary calculation of the dihedral angle of the regular $$n$$-simplex. Zbl 1028.51025
Parks, Harold R.; Wills, Dean C.
2002
The geometry of domains in space. Zbl 0929.26001
Krantz, Steven G.; Parks, Harold R.
1999
Computing least area hypersurfaces spanning arbitrary boundaries. Zbl 0876.49033
Parks, Harold R.; Pitts, Jon T.
1997
The least-gradient method for computing area minimizing hypersurfaces spanning arbitrary boundaries. Zbl 0857.65072
Parks, H. R.; Pitts, J. T.
1996
A primer of real analytic functions. Zbl 0767.26001
Krantz, Steven; Parks, Harold R.
1992
Numerical approximation of parametric oriented area-minimizing hypersurfaces. Zbl 0745.65045
Parks, Harold R.
1992
Soap-film-like minimal surfaces spanning knots. Zbl 0757.49028
Parks, Harold R.
1992
On the vector sum of two convex sets in space. Zbl 0728.52003
Krantz, Steven G.; Parks, Harold R.
1991
An application of the Cauchy-Kowalewsky theorem: The minimal surface equation at corners. Zbl 0761.35003
Parks, Harold
1989
Existence and Lipschitz regularity of functions minimizing integrals of certain positively homogeneous integrands. Zbl 0651.49019
Parks, Harold R.
1988
Explicit determination of area minimizing hypersurfaces. II. Zbl 0644.53007
Parks, Harold R.
1986
Nonlinear conditions for differentiability of functions. Zbl 0632.58008
Duncan, John; Krantz, Steven G.; Parks, Harold R.
1985
Jacobi fields and regularity of functions of least gradients. Zbl 0605.49027
Parks, Harold R.; Ziemer, William P.
1984
Distance to $$C^k$$ hypersurfaces. Zbl 0431.57009
Krantz, Steven G.; Parks, Harold R.
1981
Some new constructions and estimates in the problem of least area. Zbl 0402.49034
Parks, Harold
1979
Explicit determination of area minimizing hypersurfaces. Zbl 0385.49026
Parks, Harold
1977
A method for computing non-parametric area minimizing surfaces over n dimensional domains, together with a priori error estimates. Zbl 0362.49030
Parks, Harold R.
1977
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Cited by 813 Authors

 9 Parks, Harold R. 8 Krantz, Steven George 7 Peralta-Salas, Daniel 4 Bortolussi, Luca 4 Caraballo, David G. 4 Giga, Yoshikazu 4 Harrington, Phillip S. 4 Kim, Dongsoo S. 4 Makarenkov, Oleg Yuryĭovych 4 Marchese, Andrea 4 Rataj, Jan 3 Bonet Solves, José 3 Cordero, Elena 3 Domański, Pawel Jan 3 Enciso, Alberto 3 Gardner, Richard J. 3 Griebel, Michael 3 Hirosawa, Fumihiko 3 Kamenskiĭ, Mikhaĭl Igor’evich 3 Kuo, Frances Y. 3 López-Gómez, Julián 3 Monfared, Keivan Hassani 3 Nestoridis, Vassili 3 Nicola, Fabio 3 Nicolaescu, Liviu I. 3 Pitts, Jon T. 3 Podobryaev, Alekseĭ V. 3 Sachkov, Yuriĭ Leonidovich 3 Savas-Halilaj, Andreas 3 Sloan, Ian Hugh 3 Stuvard, Salvatore 3 Yoon, Dae Won 2 Alpay, Daniel Aron 2 Aragón Artacho, Francisco Javier 2 Ardentov, Andrei A. 2 Aristoff, David 2 Baratchart, Laurent 2 Bayraktar, Erhan 2 Belegradek, Igor 2 Bellettini, Giovanni 2 Berger, Arno 2 Berggren, Martin 2 Bessaih, Hakima 2 Bianchi, Gabriele 2 Bolkart, Martin 2 Borghini, Stefano 2 Brakke, Kenneth A. 2 Caplin, Andrew S. 2 Chousionis, Vasilis 2 Coghi, Michele 2 Coman, Dan 2 Comon, Pierre 2 Dajczer, Marcos 2 Daners, Daniel 2 Delladio, Silvano 2 Dziuk, Gerhard 2 Elsner, Carsten 2 Fernández-Rincón, Sergio 2 Ferreira, Orizon Pereira 2 Flandoli, Franco 2 Fleming, Ronan M. T. 2 Fu, Siqi 2 Fuchs, Clemens 2 Ge, Shuzhi Sam 2 Ghomi, Mohammad 2 Giacomin, Giambattista 2 Ginchev, Ivan G. 2 Glass, Olivier 2 Gronchi, Paolo 2 Hashimoto, Yoshiaki 2 Hillston, Jane 2 Honda, Atsufumi 2 Horsin, Thierry 2 Howard, Ralph E. 2 Hutchinson, John Edward 2 Immervoll, Stefan 2 Joris, Henri 2 Kaiser, Tobias 2 Kasioumis, Theodoros 2 Kim, Youngho 2 Kuksin, Sergeĭ B. 2 Lawton, Wayne M. 2 Leoni, Giovanni 2 Levenberg, Norman jun. 2 Li, Jianze 2 Llibre, Jaume 2 Magnanini, Rolando 2 Mallik, Sudipta 2 Marini, Michele 2 Massaccesi, Annalisa 2 Mazzieri, Lorenzo 2 McGown, Kevin J. 2 Mingione, Giuseppe 2 Minguzzi, Ettore 2 Misquero, Mauricio 2 Montecinos, Gino I. 2 Murray, Ryan W. 2 Naokawa, Kosuke 2 Nikolov, Nikolai Marinov 2 Nuñez, Daniel E. ...and 713 more Authors
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Cited in 218 Serials

 32 Journal of Mathematical Analysis and Applications 21 The Journal of Geometric Analysis 14 Advances in Mathematics 14 Journal of Differential Equations 11 Transactions of the American Mathematical Society 9 Journal of Functional Analysis 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Calculus of Variations and Partial Differential Equations 6 Archive for Rational Mechanics and Analysis 6 Proceedings of the American Mathematical Society 6 Linear Algebra and its Applications 6 SIAM Journal on Mathematical Analysis 5 Communications in Mathematical Physics 5 Journal of Statistical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Computational and Applied Mathematics 5 Mathematische Annalen 5 The Journal of Fourier Analysis and Applications 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Computational Physics 4 Chaos, Solitons and Fractals 4 Annales de l’Institut Fourier 4 Journal of Approximation Theory 4 Journal of Economic Theory 4 Mathematische Zeitschrift 4 Physica D 4 Journal of Complexity 4 Information and Computation 4 Journal of Global Optimization 4 Geometric and Functional Analysis. GAFA 4 Stochastic Processes and their Applications 4 Mathematical Programming. Series A. Series B 3 Mathematics of Computation 3 Reviews in Mathematical Physics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Computation 3 Automatica 3 Duke Mathematical Journal 3 Journal of Mathematical Economics 3 Kodai Mathematical Journal 3 Results in Mathematics 3 Annals of Global Analysis and Geometry 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Celestial Mechanics and Dynamical Astronomy 3 SIAM Journal on Optimization 3 Nonlinear Dynamics 3 Advances in Geometry 2 American Mathematical Monthly 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Mathematische Semesterberichte 2 Journal of Geometry and Physics 2 Hiroshima Mathematical Journal 2 Illinois Journal of Mathematics 2 Journal of Econometrics 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Operations Research 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Systems & Control Letters 2 Probability Theory and Related Fields 2 Journal of the American Mathematical Society 2 The Annals of Applied Probability 2 Differential Geometry and its Applications 2 Elemente der Mathematik 2 European Journal of Operational Research 2 Expositiones Mathematicae 2 Journal of Dynamics and Differential Equations 2 Indagationes Mathematicae. New Series 2 Potential Analysis 2 Applied and Computational Harmonic Analysis 2 Advances in Applied Clifford Algebras 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Chaos 2 Acta Mathematica Sinica. English Series 2 Journal of High Energy Physics 2 Foundations of Computational Mathematics 2 Advanced Nonlinear Studies 2 SIAM Journal on Applied Dynamical Systems 2 Multiscale Modeling & Simulation 2 International Journal of Geometric Methods in Modern Physics 2 Bulletin of the American Mathematical Society 2 Complex Analysis and Operator Theory 2 Advances in Calculus of Variations 2 Set-Valued and Variational Analysis 1 Classical and Quantum Gravity 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Physics Letters. A 1 Psychometrika 1 Rocky Mountain Journal of Mathematics ...and 118 more Serials
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Cited in 54 Fields

 99 Partial differential equations (35-XX) 69 Differential geometry (53-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 47 Real functions (26-XX) 45 Numerical analysis (65-XX) 42 Several complex variables and analytic spaces (32-XX) 38 Ordinary differential equations (34-XX) 38 Operator theory (47-XX) 37 Global analysis, analysis on manifolds (58-XX) 36 Probability theory and stochastic processes (60-XX) 31 Dynamical systems and ergodic theory (37-XX) 30 Functional analysis (46-XX) 30 Convex and discrete geometry (52-XX) 28 Operations research, mathematical programming (90-XX) 21 Functions of a complex variable (30-XX) 20 Measure and integration (28-XX) 20 Statistics (62-XX) 18 Fluid mechanics (76-XX) 18 Systems theory; control (93-XX) 17 Approximations and expansions (41-XX) 16 Statistical mechanics, structure of matter (82-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Combinatorics (05-XX) 15 Computer science (68-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Mechanics of particles and systems (70-XX) 13 Mechanics of deformable solids (74-XX) 12 Algebraic geometry (14-XX) 11 Mathematical logic and foundations (03-XX) 11 Difference and functional equations (39-XX) 11 Quantum theory (81-XX) 11 Biology and other natural sciences (92-XX) 10 Number theory (11-XX) 10 Potential theory (31-XX) 9 Geometry (51-XX) 9 Manifolds and cell complexes (57-XX) 7 Special functions (33-XX) 6 Relativity and gravitational theory (83-XX) 5 Information and communication theory, circuits (94-XX) 4 Field theory and polynomials (12-XX) 4 Topological groups, Lie groups (22-XX) 4 General topology (54-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

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