## Parks, Harold R.

Compute Distance To:
 Author ID: parks.harold-r Published as: Parks, Harold R.; Parks, Harold; Parks, H. R. more...less Further Spellings: Parks, Harold Raymond Homepage: https://math.oregonstate.edu/people/view/parks External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef
 Documents Indexed: 45 Publications since 1977, including 8 Books 1 Contribution as Editor Reviewing Activity: 124 Reviews Co-Authors: 10 Co-Authors with 24 Joint Publications 254 Co-Co-Authors
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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 Eugene 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 Basler Lehrbücher 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

28 Publications have been cited 635 times in 590 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
Distance to $$C^k$$ hypersurfaces. Zbl 0431.57009
Krantz, Steven G.; Parks, Harold R.
1981
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
2008
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
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
2006
Nonlinear conditions for differentiability of functions. Zbl 0632.58008
Duncan, John; Krantz, Steven G.; Parks, Harold R.
1985
Numerical approximation of parametric oriented area-minimizing hypersurfaces. Zbl 0745.65045
Parks, Harold R.
1992
The generalization of Faulhaber’s formula to sums of non-integral powers. Zbl 1176.11004
McGown, Kevin J.; Parks, Harold R.
2007
Jacobi fields and regularity of functions of least gradients. Zbl 0605.49027
Parks, Harold R.; Ziemer, William P.
1984
Sums of non-integral powers. Zbl 1160.11310
Parks, Harold R.
2004
An elementary calculation of the dihedral angle of the regular $$n$$-simplex. Zbl 1028.51025
Parks, Harold R.; Wills, Dean C.
2002
Soap-film-like minimal surfaces spanning knots. Zbl 0757.49028
Parks, Harold R.
1992
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
Some new constructions and estimates in the problem of least area. Zbl 0402.49034
Parks, Harold
1979
An application of the Cauchy-Kowalewsky theorem: The minimal surface equation at corners. Zbl 0761.35003
Parks, Harold
1989
An elementary proof of a generalization of Bernoulli’s formula. Zbl 1231.11024
McGown, Kevin J.; Parks, Harold R.
2010
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
Regularity of solutions to elliptic isoperimetric problems. Zbl 0544.49019
Parks, Harold R.
1984
Symmetrized-lexicographic order and the method of points. Zbl 1102.68102
Parks, Harold R.
2006
Purely unrectifiable sets with large projections. Zbl 1175.28003
Parks, Harold R.
2009
Existence and Lipschitz regularity of functions minimizing integrals of certain positively homogeneous integrands. Zbl 0651.49019
Parks, Harold R.
1988
The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003
Krantz, Steven G.; Parks, Harold R.
2013
An elementary proof of a generalization of Bernoulli’s formula. Zbl 1231.11024
McGown, Kevin J.; Parks, Harold R.
2010
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
Regularity of solutions to elliptic isoperimetric problems. Zbl 0544.49019
Parks, Harold R.
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 973 Authors

 9 Krantz, Steven George 9 Parks, Harold R. 7 Peralta-Salas, Daniel 6 Harrington, Phillip S. 4 Bortolussi, Luca 4 Caraballo, David G. 4 Giga, Yoshikazu 4 Kim, Dongsoo S. 4 Makarenkov, Oleg Yuryĭovych 4 Marchese, Andrea 4 Rataj, Jan 3 Ardentov, Andrei A. 3 Bonet Solves, José 3 Cordero, Elena 3 Dewar, Sean 3 Domański, Paweł 3 Enciso, Alberto 3 Fu, Siqi 3 Gardner, Richard J. 3 Griebel, Michael 3 Hirosawa, Fumihiko 3 Kamenskiĭ, Mikhaĭl Igor’evich 3 Kuo, Frances Y. 3 López-Gómez, Julián 3 Martini, Horst 3 Monfared, Keivan Hassani 3 Nestoridis, Vassili 3 Nicola, Fabio 3 Nicolaescu, Liviu I. 3 Pitts, Jon T. 3 Podobryaev, Alekseĭ V. 3 Rainer, Armin 3 Sachkov, Yuriĭ Leonidovich 3 Savas-Halilaj, Andreas 3 Sloan, Ian Hugh 3 Stuvard, Salvatore 3 Van Hille, Siegfried 3 Yoon, Dae Won 2 Alpay, Daniel Aron 2 Aragón Artacho, Francisco Javier 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 Besse, Nicolas 2 Bianchi, Gabriele 2 Bolkart, Martin 2 Borghini, Stefano 2 Bottazzi, Emanuele 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 Duan, Jinqiao 2 Dziuk, Gerhard 2 Elsner, Carsten 2 Fernández-Rincón, Sergio 2 Ferreira, Orizon Pereira 2 Flandoli, Franco 2 Fleming, Ronan M. T. 2 Fuchs, Clemens 2 Ge, Shuzhi Sam 2 Ghomi, Mohammad 2 Ginchev, Ivan G. 2 Glass, Olivier 2 Gonzalez-Gascon, Francisco 2 Gronchi, Paolo 2 Hajja, Mowaffaq 2 Hashimoto, Yoshiaki 2 Hillston, Jane 2 Honda, Atsufumi 2 Horsin, Thierry 2 Howard, Ralph E. 2 Hutchinson, John Edward 2 Immervoll, Stefan 2 Jang, Juhi 2 Joris, Henri 2 Kaiser, Tobias 2 Kasioumis, Theodoros 2 Kim, Youngho 2 Kukavica, Igor 2 Kuksin, Sergeĭ B. 2 Lawton, Wayne M. 2 Leoni, Giovanni 2 Levenberg, Norman jun. 2 Li, Bo 2 Li, Jianze 2 Li, Liangpan 2 Li, Linfeng 2 Li, Yang 2 Lin, Jephian Chin-Hung ...and 873 more Authors
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### Cited in 255 Serials

 37 Journal of Mathematical Analysis and Applications 27 The Journal of Geometric Analysis 15 Journal of Differential Equations 14 Advances in Mathematics 11 Transactions of the American Mathematical Society 10 Journal of Functional Analysis 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Calculus of Variations and Partial Differential Equations 8 Proceedings of the American Mathematical Society 8 SIAM Journal on Mathematical Analysis 7 Physica D 7 Linear Algebra and its Applications 6 Archive for Rational Mechanics and Analysis 6 Journal of Statistical Physics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Automatica 6 Mathematische Zeitschrift 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Communications in Mathematical Physics 5 Journal of Approximation Theory 5 Journal of Computational and Applied Mathematics 5 Mathematische Annalen 5 The Journal of Fourier Analysis and Applications 4 Journal of Computational Physics 4 Chaos, Solitons and Fractals 4 Annales de l’Institut Fourier 4 Journal of Economic Theory 4 Annals of Global Analysis and Geometry 4 Journal of Complexity 4 Information and Computation 4 Journal of Global Optimization 4 Geometric and Functional Analysis. GAFA 4 Communications in Partial Differential Equations 4 Stochastic Processes and their Applications 4 Mathematical Programming. Series A. Series B 4 Celestial Mechanics and Dynamical Astronomy 4 SIAM Journal on Optimization 4 Discrete and Continuous Dynamical Systems 3 Israel Journal of Mathematics 3 Mathematische Semesterberichte 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 Duke Mathematical Journal 3 Journal of Mathematical Economics 3 Kodai Mathematical Journal 3 Results in Mathematics 3 Systems & Control Letters 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Expositiones Mathematicae 3 Nonlinear Dynamics 3 Advances in Geometry 2 American Mathematical Monthly 2 Classical and Quantum Gravity 2 Computer Methods in Applied Mechanics and Engineering 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Journal of Geometry and Physics 2 Geometriae Dedicata 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 SIAM Journal on Control and Optimization 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 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Elemente der Mathematik 2 European Journal of Operational Research 2 Journal of Dynamics and Differential Equations 2 Indagationes Mathematicae. New Series 2 Journal of Nonlinear Science 2 Potential Analysis 2 Applied and Computational Harmonic Analysis 2 Advances in Applied Clifford Algebras 2 Advances in Computational Mathematics 2 Finance and Stochastics 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 Journal of Logic and Analysis 2 Set-Valued and Variational Analysis ...and 155 more Serials
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### Cited in 53 Fields

 116 Partial differential equations (35-XX) 77 Differential geometry (53-XX) 71 Calculus of variations and optimal control; optimization (49-XX) 57 Real functions (26-XX) 54 Several complex variables and analytic spaces (32-XX) 51 Numerical analysis (65-XX) 49 Global analysis, analysis on manifolds (58-XX) 44 Probability theory and stochastic processes (60-XX) 42 Operator theory (47-XX) 39 Ordinary differential equations (34-XX) 37 Convex and discrete geometry (52-XX) 36 Dynamical systems and ergodic theory (37-XX) 36 Functional analysis (46-XX) 36 Operations research, mathematical programming (90-XX) 26 Functions of a complex variable (30-XX) 23 Measure and integration (28-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Statistics (62-XX) 22 Fluid mechanics (76-XX) 22 Systems theory; control (93-XX) 21 Approximations and expansions (41-XX) 21 Computer science (68-XX) 19 Combinatorics (05-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Algebraic geometry (14-XX) 17 Number theory (11-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Mechanics of deformable solids (74-XX) 16 Biology and other natural sciences (92-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Mechanics of particles and systems (70-XX) 14 Mathematical logic and foundations (03-XX) 13 Quantum theory (81-XX) 12 Potential theory (31-XX) 12 Difference and functional equations (39-XX) 12 Manifolds and cell complexes (57-XX) 10 Geometry (51-XX) 8 Special functions (33-XX) 7 Relativity and gravitational theory (83-XX) 6 Topological groups, Lie groups (22-XX) 6 General topology (54-XX) 5 Integral equations (45-XX) 5 Information and communication theory, circuits (94-XX) 4 Integral transforms, operational calculus (44-XX) 4 Optics, electromagnetic theory (78-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic topology (55-XX)

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