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: 46 Publications since 1977, including 8 Books 1 Contribution as Editor Reviewing Activity: 124 Reviews Co-Authors: 10 Co-Authors with 25 Joint Publications 273 Co-Co-Authors all top 5 Co-Authors 22 single-authored 12 Krantz, Steven George 4 Pitts, Jon T. 2 McGown, Kevin J. 2 Wills, Dean C. 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 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 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 all top 5 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 Number theory (11-XX) 4 Numerical analysis (65-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 725 times in 681 Documents Cited by ▼ Year ▼ A primer of real analytic functions. 2nd ed. Zbl 1015.26030Krantz, Steven G.; Parks, Harold R. 201 2002 The implicit function theorem. History, theory, and applications. Zbl 1012.58003Krantz, Steven G.; Parks, Harold R. 129 2002 A primer of real analytic functions. Zbl 0767.26001Krantz, Steven; Parks, Harold R. 90 1992 Geometric integration theory. Zbl 1149.28001Krantz, Steven G.; Parks, Harold R. 65 2008 Distance to \(C^k\) hypersurfaces. Zbl 0431.57009Krantz, Steven G.; Parks, Harold R. 59 1981 The geometry of domains in space. Zbl 0929.26001Krantz, Steven G.; Parks, Harold R. 43 1999 The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003Krantz, Steven G.; Parks, Harold R. 39 2013 Explicit determination of area minimizing hypersurfaces. Zbl 0385.49026Parks, Harold 13 1977 Explicit determination of area minimizing hypersurfaces. II. Zbl 0644.53007Parks, Harold R. 11 1986 On the vector sum of two convex sets in space. Zbl 0728.52003Krantz, Steven G.; Parks, Harold R. 9 1991 Geometric characterizations of centroids of simplices. Zbl 1089.52009Krantz, Steven G.; McCarthy, John E.; Parks, Harold R. 8 2006 Nonlinear conditions for differentiability of functions. Zbl 0632.58008Duncan, John; Krantz, Steven G.; Parks, Harold R. 7 1985 Jacobi fields and regularity of functions of least gradients. Zbl 0605.49027Parks, Harold R.; Ziemer, William P. 7 1984 An elementary calculation of the dihedral angle of the regular \(n\)-simplex. Zbl 1028.51025Parks, Harold R.; Wills, Dean C. 6 2002 Numerical approximation of parametric oriented area-minimizing hypersurfaces. Zbl 0745.65045Parks, Harold R. 6 1992 The generalization of Faulhaber’s formula to sums of non-integral powers. Zbl 1176.11004McGown, Kevin J.; Parks, Harold R. 6 2007 Sums of non-integral powers. Zbl 1160.11310Parks, Harold R. 5 2004 Computing least area hypersurfaces spanning arbitrary boundaries. Zbl 0876.49033Parks, Harold R.; Pitts, Jon T. 4 1997 Soap-film-like minimal surfaces spanning knots. Zbl 0757.49028Parks, Harold R. 4 1992 The least-gradient method for computing area minimizing hypersurfaces spanning arbitrary boundaries. Zbl 0857.65072Parks, H. R.; Pitts, J. T. 3 1996 Some new constructions and estimates in the problem of least area. Zbl 0402.49034Parks, Harold 3 1979 Purely unrectifiable sets with large projections. Zbl 1175.28003Parks, Harold R. 1 2009 A method for computing non-parametric area minimizing surfaces over n dimensional domains, together with a priori error estimates. Zbl 0362.49030Parks, Harold R. 1 1977 Regularity of solutions to elliptic isoperimetric problems. Zbl 0544.49019Parks, Harold R. 1 1984 Symmetrized-lexicographic order and the method of points. Zbl 1102.68102Parks, Harold R. 1 2006 An application of the Cauchy-Kowalewsky theorem: The minimal surface equation at corners. Zbl 0761.35003Parks, Harold 1 1989 Existence and Lipschitz regularity of functions minimizing integrals of certain positively homogeneous integrands. Zbl 0651.49019Parks, Harold R. 1 1988 An elementary proof of a generalization of Bernoulli’s formula. Zbl 1231.11024McGown, Kevin J.; Parks, Harold R. 1 2010 The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003Krantz, Steven G.; Parks, Harold R. 39 2013 An elementary proof of a generalization of Bernoulli’s formula. Zbl 1231.11024McGown, Kevin J.; Parks, Harold R. 1 2010 Purely unrectifiable sets with large projections. Zbl 1175.28003Parks, Harold R. 1 2009 Geometric integration theory. Zbl 1149.28001Krantz, Steven G.; Parks, Harold R. 65 2008 The generalization of Faulhaber’s formula to sums of non-integral powers. Zbl 1176.11004McGown, Kevin J.; Parks, Harold R. 6 2007 Geometric characterizations of centroids of simplices. Zbl 1089.52009Krantz, Steven G.; McCarthy, John E.; Parks, Harold R. 8 2006 Symmetrized-lexicographic order and the method of points. Zbl 1102.68102Parks, Harold R. 1 2006 Sums of non-integral powers. Zbl 1160.11310Parks, Harold R. 5 2004 A primer of real analytic functions. 2nd ed. Zbl 1015.26030Krantz, Steven G.; Parks, Harold R. 201 2002 The implicit function theorem. History, theory, and applications. Zbl 1012.58003Krantz, Steven G.; Parks, Harold R. 129 2002 An elementary calculation of the dihedral angle of the regular \(n\)-simplex. Zbl 1028.51025Parks, Harold R.; Wills, Dean C. 6 2002 The geometry of domains in space. Zbl 0929.26001Krantz, Steven G.; Parks, Harold R. 43 1999 Computing least area hypersurfaces spanning arbitrary boundaries. Zbl 0876.49033Parks, Harold R.; Pitts, Jon T. 4 1997 The least-gradient method for computing area minimizing hypersurfaces spanning arbitrary boundaries. Zbl 0857.65072Parks, H. R.; Pitts, J. T. 3 1996 A primer of real analytic functions. Zbl 0767.26001Krantz, Steven; Parks, Harold R. 90 1992 Numerical approximation of parametric oriented area-minimizing hypersurfaces. Zbl 0745.65045Parks, Harold R. 6 1992 Soap-film-like minimal surfaces spanning knots. Zbl 0757.49028Parks, Harold R. 4 1992 On the vector sum of two convex sets in space. Zbl 0728.52003Krantz, Steven G.; Parks, Harold R. 9 1991 An application of the Cauchy-Kowalewsky theorem: The minimal surface equation at corners. Zbl 0761.35003Parks, Harold 1 1989 Existence and Lipschitz regularity of functions minimizing integrals of certain positively homogeneous integrands. Zbl 0651.49019Parks, Harold R. 1 1988 Explicit determination of area minimizing hypersurfaces. II. Zbl 0644.53007Parks, Harold R. 11 1986 Nonlinear conditions for differentiability of functions. Zbl 0632.58008Duncan, John; Krantz, Steven G.; Parks, Harold R. 7 1985 Jacobi fields and regularity of functions of least gradients. Zbl 0605.49027Parks, Harold R.; Ziemer, William P. 7 1984 Regularity of solutions to elliptic isoperimetric problems. Zbl 0544.49019Parks, Harold R. 1 1984 Distance to \(C^k\) hypersurfaces. Zbl 0431.57009Krantz, Steven G.; Parks, Harold R. 59 1981 Some new constructions and estimates in the problem of least area. Zbl 0402.49034Parks, Harold 3 1979 Explicit determination of area minimizing hypersurfaces. Zbl 0385.49026Parks, Harold 13 1977 A method for computing non-parametric area minimizing surfaces over n dimensional domains, together with a priori error estimates. Zbl 0362.49030Parks, Harold R. 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,132 Authors 9 Krantz, Steven George 9 Parks, Harold R. 9 Peralta-Salas, Daniel 6 Giga, Yoshikazu 6 Harrington, Phillip S. 5 Marchese, Andrea 5 Nicola, Fabio 4 Bortolussi, Luca 4 Caraballo, David G. 4 Cordero, Elena 4 Domański, Paweł 4 Enciso, Alberto 4 Gardner, Richard J. 4 Hirosawa, Fumihiko 4 Kim, Dongsoo S. 4 Li, Jianze 4 Makarenkov, Oleg Yuryĭovych 4 Rataj, Jan 4 Sachkov, Yuriĭ Leonidovich 4 Stuvard, Salvatore 3 Ardentov, Andrei A. 3 Bianchi, Gabriele 3 Bolkart, Martin 3 Bonet Solves, José 3 Comon, Pierre 3 Dewar, Sean 3 Duan, Jinqiao 3 Ferreira, Orizon Pereira 3 Fu, Siqi 3 Fuchs, Clemens 3 Griebel, Michael 3 Gronchi, Paolo 3 Jang, Juhi 3 Kamenskiĭ, Mikhaĭl Igor’evich 3 Kosiński, Łukasz 3 Kuo, Frances Y. 3 Lin, Jephian Chin-Hung 3 Llibre, Jaume 3 López-Gómez, Julián 3 Martini, Horst 3 Monfared, Keivan Hassani 3 Nestoridis, Vassili 3 Nicolaescu, Liviu I. 3 Pitts, Jon T. 3 Podobryaev, Alekseĭ V. 3 Rainer, Armin 3 Rodino, Luigi 3 Savas-Halilaj, Andreas 3 Shader, Bryan L. 3 Sloan, Ian Hugh 3 Tie, Lin 3 Usevich, Konstantin 3 Van Hille, Siegfried 3 Vlachos, Theodoros 3 Yoon, Dae Won 3 Žubrinić, Darko 2 Almi, Stefano 2 Alpay, Daniel Aron 2 Aragón Artacho, Francisco Javier 2 Aristoff, David 2 Ashbaugh, Mark S. 2 Baratchart, Laurent 2 Barrett, Wayne W. 2 Bayraktar, Erhan 2 Belegradek, Igor 2 Bellettini, Giovanni 2 Berger, Arno 2 Berggren, Martin 2 Bessaih, Hakima 2 Besse, Nicolas 2 Borghini, Stefano 2 Bottazzi, Emanuele 2 Brakke, Kenneth A. 2 Caplin, Andrew S. 2 Chousionis, Vasilis 2 Coghi, Michele 2 Coman, Dan 2 Dajczer, Marcos 2 Daners, Daniel 2 Delladio, Silvano 2 Dziuk, Gerhard 2 Elsner, Carsten 2 Fallat, Shaun M. 2 Fernández-Rincón, Sergio 2 Flandoli, Franco 2 Fleming, Ronan M. T. 2 Ge, Shuzhi Sam 2 Gesztesy, Fritz 2 Ghomi, Mohammad 2 Giacomin, Giambattista 2 Ginchev, Ivan G. 2 Glass, Olivier 2 Gonzalez-Gascon, Francisco 2 Gupta, Purvi 2 Hajja, Mowaffaq 2 Hall, H. Tracy 2 Hanusch, Maximilian 2 Hashimoto, Yoshiaki 2 Heintze, Sebastian 2 Hillston, Jane ...and 1,032 more Authors all top 5 Cited in 278 Serials 38 Journal of Mathematical Analysis and Applications 29 The Journal of Geometric Analysis 17 Journal of Differential Equations 15 Advances in Mathematics 13 Transactions of the American Mathematical Society 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Functional Analysis 10 Calculus of Variations and Partial Differential Equations 9 SIAM Journal on Mathematical Analysis 8 Automatica 8 Proceedings of the American Mathematical Society 7 Archive for Rational Mechanics and Analysis 7 Physica D 7 Linear Algebra and its Applications 6 Journal of Statistical Physics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Journal of Approximation Theory 6 Mathematische Annalen 6 Mathematische Zeitschrift 6 Communications in Partial Differential Equations 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Communications in Mathematical Physics 5 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 5 Journal of Complexity 5 Stochastic Processes and their Applications 5 The Journal of Fourier Analysis and Applications 4 Journal of Computational Physics 4 Mathematics of Computation 4 Chaos, Solitons and Fractals 4 Annales de l’Institut Fourier 4 Bulletin of the London Mathematical Society 4 Duke Mathematical Journal 4 Journal of Economic Theory 4 Journal of Mathematical Economics 4 Results in Mathematics 4 Annals of Global Analysis and Geometry 4 Information and Computation 4 Journal of Global Optimization 4 Geometric and Functional Analysis. GAFA 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Mathematical Programming. Series A. Series B 4 Celestial Mechanics and Dynamical Astronomy 4 SIAM Journal on Optimization 4 Discrete and Continuous Dynamical Systems 4 Nonlinear Dynamics 4 SIAM Journal on Applied Dynamical Systems 3 American Mathematical Monthly 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Physics 3 Mathematische Semesterberichte 3 Reviews in Mathematical Physics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Geometriae Dedicata 3 Journal of Econometrics 3 Kodai Mathematical Journal 3 Mathematische Nachrichten 3 Monatshefte für Mathematik 3 Systems & Control Letters 3 Numerical Algorithms 3 Expositiones Mathematicae 3 Indagationes Mathematicae. New Series 3 Chaos 3 Annales Henri Poincaré 3 Advances in Geometry 3 Optimization Letters 3 Advances in Calculus of Variations 2 Classical and Quantum Gravity 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Biology 2 Mathematical Notes 2 Studia Mathematica 2 Journal of Geometry and Physics 2 Hiroshima Mathematical Journal 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Operations Research 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 SIAM Journal on Control and Optimization 2 Statistics 2 Probability Theory and Related Fields 2 Constructive Approximation 2 Applied Mathematics Letters 2 Journal of the American Mathematical Society 2 SIAM Journal on Matrix Analysis and Applications 2 Japan Journal of Industrial and Applied Mathematics 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 SIAM Journal on Applied Mathematics 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Potential Analysis 2 Applied and Computational Harmonic Analysis 2 Advances in Applied Clifford Algebras ...and 178 more Serials all top 5 Cited in 55 Fields 142 Partial differential equations (35-XX) 85 Calculus of variations and optimal control; optimization (49-XX) 85 Differential geometry (53-XX) 65 Real functions (26-XX) 60 Numerical analysis (65-XX) 59 Several complex variables and analytic spaces (32-XX) 53 Global analysis, analysis on manifolds (58-XX) 51 Probability theory and stochastic processes (60-XX) 49 Operator theory (47-XX) 45 Functional analysis (46-XX) 44 Ordinary differential equations (34-XX) 43 Dynamical systems and ergodic theory (37-XX) 41 Convex and discrete geometry (52-XX) 40 Operations research, mathematical programming (90-XX) 30 Functions of a complex variable (30-XX) 30 Fluid mechanics (76-XX) 28 Measure and integration (28-XX) 27 Systems theory; control (93-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Approximations and expansions (41-XX) 25 Computer science (68-XX) 23 Statistics (62-XX) 22 Combinatorics (05-XX) 22 Mechanics of deformable solids (74-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Quantum theory (81-XX) 19 Algebraic geometry (14-XX) 18 Number theory (11-XX) 18 Biology and other natural sciences (92-XX) 15 Mathematical logic and foundations (03-XX) 15 Mechanics of particles and systems (70-XX) 14 Manifolds and cell complexes (57-XX) 13 Potential theory (31-XX) 12 Difference and functional equations (39-XX) 11 Special functions (33-XX) 11 Geometry (51-XX) 8 Relativity and gravitational theory (83-XX) 7 Topological groups, Lie groups (22-XX) 7 Information and communication theory, circuits (94-XX) 6 Integral equations (45-XX) 6 General topology (54-XX) 4 Integral transforms, operational calculus (44-XX) 4 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Abstract harmonic analysis (43-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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