Edit Profile (opens in new tab) Parks, Harold R. Co-Author Distance 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: 50 Publications since 1977, including 9 Books and 2 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 124 Reviews Co-Authors: 10 Co-Authors with 29 Joint Publications 286 Co-Co-Authors all top 5 Co-Authors 22 single-authored 13 Krantz, Steven George 5 Wills, Dean C. 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 Woods, Walter B. all top 5 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 Elemente der Mathematik 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 The Fibonacci Quarterly 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 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 Textbooks in Mathematics 1 Birkhäuser Advanced Texts. Basler Lehrbücher 1 Cornerstones all top 5 Fields 25 Calculus of variations and optimal control; optimization (49-XX) 11 Differential geometry (53-XX) 10 Real functions (26-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Number theory (11-XX) 6 Convex and discrete geometry (52-XX) 5 Measure and integration (28-XX) 4 Numerical analysis (65-XX) 3 Partial differential equations (35-XX) 2 Combinatorics (05-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 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 983 times in 933 Documents Cited by ▼ Year ▼ A primer of real analytic functions. 2nd ed. Zbl 1015.26030 Krantz, Steven G.; Parks, Harold R. 299 2002 The implicit function theorem. History, theory, and applications. Zbl 1012.58003 Krantz, Steven G.; Parks, Harold R. 162 2002 Geometric integration theory. Zbl 1149.28001 Krantz, Steven G.; Parks, Harold R. 107 2008 A primer of real analytic functions. Zbl 0767.26001 Krantz, Steven; Parks, Harold R. 103 1992 The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003 Krantz, Steven G.; Parks, Harold R. 77 2013 Distance to \(C^k\) hypersurfaces. Zbl 0431.57009 Krantz, Steven G.; Parks, Harold R. 70 1981 The geometry of domains in space. Zbl 0929.26001 Krantz, Steven G.; Parks, Harold R. 56 1999 Explicit determination of area minimizing hypersurfaces. Zbl 0385.49026 Parks, Harold 14 1977 Explicit determination of area minimizing hypersurfaces. II. Zbl 0644.53007 Parks, Harold R. 11 1986 Geometric characterizations of centroids of simplices. Zbl 1089.52009 Krantz, Steven G.; McCarthy, John E.; Parks, Harold R. 10 2006 On the vector sum of two convex sets in space. Zbl 0728.52003 Krantz, Steven G.; Parks, Harold R. 9 1991 The generalization of Faulhaber’s formula to sums of non-integral powers. Zbl 1176.11004 McGown, Kevin J.; Parks, Harold R. 8 2007 Jacobi fields and regularity of functions of least gradients. Zbl 0605.49027 Parks, Harold R.; Ziemer, William P. 7 1984 Nonlinear conditions for differentiability of functions. Zbl 0632.58008 Duncan, John; Krantz, Steven G.; Parks, Harold R. 7 1985 Numerical approximation of parametric oriented area-minimizing hypersurfaces. Zbl 0745.65045 Parks, Harold R. 6 1992 An elementary calculation of the dihedral angle of the regular \(n\)-simplex. Zbl 1028.51025 Parks, Harold R.; Wills, Dean C. 6 2002 Sums of non-integral powers. Zbl 1160.11310 Parks, Harold R. 6 2004 Soap-film-like minimal surfaces spanning knots. Zbl 0757.49028 Parks, Harold R. 5 1992 Computing least area hypersurfaces spanning arbitrary boundaries. Zbl 0876.49033 Parks, Harold R.; Pitts, Jon T. 4 1997 The least-gradient method for computing area minimizing hypersurfaces spanning arbitrary boundaries. Zbl 0857.65072 Parks, H. R.; Pitts, J. T. 4 1996 Some new constructions and estimates in the problem of least area. Zbl 0402.49034 Parks, Harold 3 1979 The volume of the unit \(n\)-ball. Zbl 1293.52005 Parks, Harold R. 1 2013 Existence and Lipschitz regularity of functions minimizing integrals of certain positively homogeneous integrands. Zbl 0651.49019 Parks, Harold R. 1 1988 The least gradient method for computing area-minimizing hypersurfaces. Zbl 0851.49029 Parks, Harold R. 1 1993 An application of the Cauchy-Kowalewsky theorem: The minimal surface equation at corners. Zbl 0761.35003 Parks, Harold 1 1989 Regularity of solutions to elliptic isoperimetric problems. Zbl 0544.49019 Parks, Harold R. 1 1984 Purely unrectifiable sets with large projections. Zbl 1175.28003 Parks, Harold R. 1 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. 1 1977 An elementary proof of a generalization of Bernoulli’s formula. Zbl 1231.11024 McGown, Kevin J.; Parks, Harold R. 1 2010 Symmetrized-lexicographic order and the method of points. Zbl 1102.68102 Parks, Harold R. 1 2006 The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003 Krantz, Steven G.; Parks, Harold R. 77 2013 The volume of the unit \(n\)-ball. Zbl 1293.52005 Parks, Harold R. 1 2013 An elementary proof of a generalization of Bernoulli’s formula. Zbl 1231.11024 McGown, Kevin J.; Parks, Harold R. 1 2010 Purely unrectifiable sets with large projections. Zbl 1175.28003 Parks, Harold R. 1 2009 Geometric integration theory. Zbl 1149.28001 Krantz, Steven G.; Parks, Harold R. 107 2008 The generalization of Faulhaber’s formula to sums of non-integral powers. Zbl 1176.11004 McGown, Kevin J.; Parks, Harold R. 8 2007 Geometric characterizations of centroids of simplices. Zbl 1089.52009 Krantz, Steven G.; McCarthy, John E.; Parks, Harold R. 10 2006 Symmetrized-lexicographic order and the method of points. Zbl 1102.68102 Parks, Harold R. 1 2006 Sums of non-integral powers. Zbl 1160.11310 Parks, Harold R. 6 2004 A primer of real analytic functions. 2nd ed. Zbl 1015.26030 Krantz, Steven G.; Parks, Harold R. 299 2002 The implicit function theorem. History, theory, and applications. Zbl 1012.58003 Krantz, Steven G.; Parks, Harold R. 162 2002 An elementary calculation of the dihedral angle of the regular \(n\)-simplex. Zbl 1028.51025 Parks, Harold R.; Wills, Dean C. 6 2002 The geometry of domains in space. Zbl 0929.26001 Krantz, Steven G.; Parks, Harold R. 56 1999 Computing least area hypersurfaces spanning arbitrary boundaries. Zbl 0876.49033 Parks, Harold R.; Pitts, Jon T. 4 1997 The least-gradient method for computing area minimizing hypersurfaces spanning arbitrary boundaries. Zbl 0857.65072 Parks, H. R.; Pitts, J. T. 4 1996 The least gradient method for computing area-minimizing hypersurfaces. Zbl 0851.49029 Parks, Harold R. 1 1993 A primer of real analytic functions. Zbl 0767.26001 Krantz, Steven; Parks, Harold R. 103 1992 Numerical approximation of parametric oriented area-minimizing hypersurfaces. Zbl 0745.65045 Parks, Harold R. 6 1992 Soap-film-like minimal surfaces spanning knots. Zbl 0757.49028 Parks, Harold R. 5 1992 On the vector sum of two convex sets in space. Zbl 0728.52003 Krantz, Steven G.; Parks, Harold R. 9 1991 An application of the Cauchy-Kowalewsky theorem: The minimal surface equation at corners. Zbl 0761.35003 Parks, Harold 1 1989 Existence and Lipschitz regularity of functions minimizing integrals of certain positively homogeneous integrands. Zbl 0651.49019 Parks, Harold R. 1 1988 Explicit determination of area minimizing hypersurfaces. II. Zbl 0644.53007 Parks, Harold R. 11 1986 Nonlinear conditions for differentiability of functions. Zbl 0632.58008 Duncan, John; Krantz, Steven G.; Parks, Harold R. 7 1985 Jacobi fields and regularity of functions of least gradients. Zbl 0605.49027 Parks, Harold R.; Ziemer, William P. 7 1984 Regularity of solutions to elliptic isoperimetric problems. Zbl 0544.49019 Parks, Harold R. 1 1984 Distance to \(C^k\) hypersurfaces. Zbl 0431.57009 Krantz, Steven G.; Parks, Harold R. 70 1981 Some new constructions and estimates in the problem of least area. Zbl 0402.49034 Parks, Harold 3 1979 Explicit determination of area minimizing hypersurfaces. Zbl 0385.49026 Parks, Harold 14 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. 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,613 Authors 13 Krantz, Steven George 9 Giga, Yoshikazu 9 Parks, Harold R. 9 Peralta-Salas, Daniel 8 Marchese, Andrea 7 Harrington, Phillip S. 6 Cordero, Elena 6 Gardner, Richard J. 6 Nicola, Fabio 5 Bellettini, Giovanni 5 Delladio, Silvano 5 Rataj, Jan 5 Rodino, Luigi 5 Scala, Riccardo 4 Bianchi, Gabriele 4 Bortolussi, Luca 4 Caraballo, David G. 4 De Rosa, Antonio 4 Domański, Paweł 4 Duan, Jinqiao 4 Enciso, Alberto 4 Fu, Siqi 4 Gronchi, Paolo 4 Gu, Zhongyang 4 Gubbiotti, Giorgio 4 Hirosawa, Fumihiko 4 Kim, Dongsoo S. 4 Li, Jianze 4 Liu, Hongyu 4 Makarenkov, Oleg Yuryĭovych 4 Podobryaev, Alekseĭ V. 4 Rindler, Filip 4 Sachkov, Yuriĭ Leonidovich 4 Sommariva, Alvise 4 Stuvard, Salvatore 4 Vianello, Marco 4 Žubrinić, Darko 3 Besse, Nicolas 3 Bolkart, Martin 3 Bonet Solves, José 3 Borghini, Stefano 3 Colombo, Maria 3 Coman, Dan 3 Comon, Pierre 3 Dewar, Sean 3 Diao, Huaian 3 Ferreira, Orizon Pereira 3 Fuchs, Clemens 3 Giacomin, Giambattista 3 Griebel, Michael 3 Jang, Juhi 3 Kamenskiĭ, Mikhaĭl Igor’evich 3 Kashima, Yohei 3 Kosiński, Łukasz 3 Kuo, Frances Y. 3 Lawton, Wayne M. 3 Lin, Jephian Chin-Hung 3 Llibre, Jaume 3 López-Gómez, Julián 3 Magnanini, Rolando 3 Martini, Horst 3 Massaccesi, Annalisa 3 Mazzieri, Lorenzo 3 Monfared, Keivan Hassani 3 Nandakumaran, Akambadath Keerthiyil 3 Nestoridis, Vassili 3 Nezhad, Ali Mohammad 3 Nicolaescu, Liviu I. 3 Nuñez, Daniel E. 3 Pitts, Jon T. 3 Rainer, Armin 3 Rivera, Andrés M. 3 Savas-Halilaj, Andreas 3 Saxena, Nitin 3 Schindl, Gerhard 3 Shader, Bryan L. 3 Sinhababu, Amit 3 Sloan, Ian Hugh 3 Tie, Lin 3 Tilli, Paolo 3 Umehara, Masaaki 3 Usevich, Konstantin 3 Van Hille, Siegfried 3 Vlachos, Theodoros 3 Vorderobermeier, Nicole 3 Wahlberg, Patrik 3 Yamada, Kotaro 3 Yoon, Dae Won 3 Zhu, Weixia 2 Aiyappan, Srinivasan 2 Alberti, Giovanni 2 Almi, Stefano 2 Alpay, Daniel Aron 2 Aragón Artacho, Francisco Javier 2 Ardentov, Andrei A. 2 Arias Junior, Alexandre 2 Aristoff, David 2 Ashbaugh, Mark S. 2 Baratchart, Laurent 2 Barrett, Wayne W. ...and 1,513 more Authors all top 5 Cited in 354 Serials 44 Journal of Mathematical Analysis and Applications 34 The Journal of Geometric Analysis 22 Journal of Differential Equations 18 Advances in Mathematics 15 Journal of Functional Analysis 15 Calculus of Variations and Partial Differential Equations 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Transactions of the American Mathematical Society 13 SIAM Journal on Mathematical Analysis 10 Automatica 9 Archive for Rational Mechanics and Analysis 9 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Bulletin of the London Mathematical Society 8 Journal of Approximation Theory 8 Proceedings of the American Mathematical Society 8 Physica D 8 Communications in Partial Differential Equations 8 Linear Algebra and its Applications 7 Journal of Statistical Physics 7 Inventiones Mathematicae 7 Mathematische Annalen 7 Mathematische Zeitschrift 7 Revista Matemática Iberoamericana 7 Mathematical Programming. Series A. Series B 6 Communications in Mathematical Physics 6 Chaos, Solitons and Fractals 6 Journal of Computational and Applied Mathematics 6 SIAM Journal on Optimization 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Annales Henri Poincaré 6 Complex Variables and Elliptic Equations 5 Inverse Problems 5 Applied Mathematics and Computation 5 Duke Mathematical Journal 5 Journal of Complexity 5 Geometric and Functional Analysis. GAFA 5 Stochastic Processes and their Applications 5 Indagationes Mathematicae. New Series 5 The Journal of Fourier Analysis and Applications 5 Optimization Letters 4 American Mathematical Monthly 4 Journal of Computational Physics 4 Mathematical Methods in the Applied Sciences 4 Mathematics of Computation 4 Annales de l’Institut Fourier 4 Geometriae Dedicata 4 Indiana University Mathematics Journal 4 Journal of Differential Geometry 4 Journal of Economic Theory 4 Journal of Econometrics 4 Journal of Mathematical Economics 4 Kodai Mathematical Journal 4 Mathematische Nachrichten 4 Monatshefte für Mathematik 4 Results in Mathematics 4 Annals of Global Analysis and Geometry 4 Information and Computation 4 The Annals of Applied Probability 4 Journal of Global Optimization 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Celestial Mechanics and Dynamical Astronomy 4 Potential Analysis 4 Applied and Computational Harmonic Analysis 4 Discrete and Continuous Dynamical Systems 4 Nonlinear Dynamics 4 Journal of Mathematical Fluid Mechanics 4 SIAM Journal on Applied Dynamical Systems 4 Advances in Calculus of Variations 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Physics 3 Mathematische Semesterberichte 3 Nonlinearity 3 Reviews in Mathematical Physics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Numerical Analysis 3 Systems & Control Letters 3 Probability Theory and Related Fields 3 Applied Mathematics Letters 3 SIAM Journal on Matrix Analysis and Applications 3 Numerical Algorithms 3 SIAM Journal on Applied Mathematics 3 Expositiones Mathematicae 3 International Journal of Robust and Nonlinear Control 3 Journal of Nonlinear Science 3 Abstract and Applied Analysis 3 Chaos 3 Journal of High Energy Physics 3 Advances in Geometry 3 Mediterranean Journal of Mathematics 3 Complex Analysis and Operator Theory 3 Journal of Spectral Theory 3 Nonlinear Analysis. Theory, Methods & Applications 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Classical and Quantum Gravity 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Communications on Pure and Applied Mathematics ...and 254 more Serials all top 5 Cited in 56 Fields 204 Partial differential equations (35-XX) 110 Calculus of variations and optimal control; optimization (49-XX) 108 Differential geometry (53-XX) 86 Numerical analysis (65-XX) 83 Several complex variables and analytic spaces (32-XX) 80 Real functions (26-XX) 66 Global analysis, analysis on manifolds (58-XX) 66 Probability theory and stochastic processes (60-XX) 64 Ordinary differential equations (34-XX) 63 Operator theory (47-XX) 61 Functional analysis (46-XX) 59 Operations research, mathematical programming (90-XX) 57 Dynamical systems and ergodic theory (37-XX) 47 Convex and discrete geometry (52-XX) 45 Systems theory; control (93-XX) 44 Measure and integration (28-XX) 38 Functions of a complex variable (30-XX) 38 Quantum theory (81-XX) 37 Fluid mechanics (76-XX) 36 Statistical mechanics, structure of matter (82-XX) 34 Computer science (68-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 32 Statistics (62-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Approximations and expansions (41-XX) 29 Algebraic geometry (14-XX) 26 Combinatorics (05-XX) 26 Mechanics of deformable solids (74-XX) 25 Biology and other natural sciences (92-XX) 23 Number theory (11-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 19 Mathematical logic and foundations (03-XX) 19 Difference and functional equations (39-XX) 19 Manifolds and cell complexes (57-XX) 19 Mechanics of particles and systems (70-XX) 18 Potential theory (31-XX) 15 Special functions (33-XX) 14 Geometry (51-XX) 10 Integral equations (45-XX) 9 Topological groups, Lie groups (22-XX) 9 Relativity and gravitational theory (83-XX) 8 General topology (54-XX) 8 Information and communication theory, circuits (94-XX) 7 Optics, electromagnetic theory (78-XX) 6 Field theory and polynomials (12-XX) 6 Integral transforms, operational calculus (44-XX) 4 Commutative algebra (13-XX) 4 Abstract harmonic analysis (43-XX) 4 Algebraic topology (55-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Nonassociative rings and algebras (17-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.