Edit Profile (opens in new tab) Kuttler, James R. Co-Author Distance Author ID: kuttler.james-r Published as: Kuttler, J. R.; Kuttler, James R. Homepage: https://ep.jhu.edu/faculty/james-kuttler/ External Links: MGP Documents Indexed: 36 Publications since 1968, including 1 Book Reviewing Activity: 50 Reviews Co-Authors: 4 Co-Authors with 18 Joint Publications 10 Co-Co-Authors Co-Authors 18 single-authored 13 Sigillito, Vincent G. 2 Dockery, G. Daniel 2 Fox, David W. 1 Cureton, L. M. all top 5 Serials 6 SIAM Journal on Numerical Analysis 5 Journal of Sound and Vibration 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Numerische Mathematik 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 1 AIAA Journal 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Bulletin of the Calcutta Mathematical Society 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Advances in Applied Mathematics 1 IEEE Transactions on Antennas and Propagation 1 Research Notes in Mathematics (San Francisco) all top 5 Fields 17 Partial differential equations (35-XX) 14 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 349 times in 276 Documents Cited by ▼ Year ▼ Eigenvalues of the Laplacian in two dimensions. Zbl 0574.65116 Kuttler, J. R.; Sigillito, V. G. 88 1984 Inequalities for membrane and Stekloff eigenvalues. Zbl 0167.45701 Kuttler, J. R.; Sigillito, V. G. 57 1968 Sloshing frequencies. Zbl 0539.76022 Fox, D. W.; Kuttler, J. R. 39 1983 An inequality for a Stekloff eigenvalue by the method of defect. Zbl 0176.09901 Kuttler, J. R.; Sigillito, V. G. 17 1969 A fourth-order finite-difference approximation for the fixed membrane eigenproblem. Zbl 0243.65065 Kuttler, J. R. 17 1971 Lower bounds for Stekloff and free membrane eigenvalues. Zbl 0159.16104 Kuttler, J. R.; Sigillito, V. G. 14 1968 Estimating eigenvalues with a posteriori/a priori inequalities. Zbl 0634.65100 Kuttler, J. R.; Sigillito, V. G. 13 1985 Bounding eigenvalues of elliptic operators. Zbl 0409.65046 Kuttler, J. R.; Sigillito, V. G. 12 1978 Remarks on a Stekloff eigenvalue problem. Zbl 0233.35071 Kuttler, James R. 12 1972 Finite difference approximations for eigenvalues of uniformly elliptic operators. Zbl 0208.42601 Kuttler, J. R. 10 1970 Dirichlet eigenvalues. Zbl 0405.65055 Kuttler, J. R. 9 1979 Remarks on a Stekloff eigenvalue problem. Zbl 0202.38102 Kuttler, J. R. 9 1972 Upper and lower bounds for eigenvalues by finite differences. Zbl 0204.12003 Kuttler, James R. 7 1970 Eigenvalues of the Laplacian on regular polygons and polygons resulting from their dissection. (Eigenvalues of the Laplacian on regular polygons and polygons resulting from their disection.) Zbl 1235.35206 Cureton, L. M.; Kuttler, J. R. 7 1999 Direct methods for computing eigenvalues of the finite-difference Laplacian. Zbl 0288.65060 Kuttler, J. R. 6 1974 Lower bounds for sloshing frequencies. Zbl 0191.55801 Kuttler, J. R.; Sigillito, V. G. 5 1969 An improved impedance-boundary algorithm for Fourier split-step solutions of the parabolic wave equation. Zbl 0947.78019 Dockery, G. Daniel; Kuttler, James R. 4 1996 Bounds for Stekloff eigenvalues. Zbl 0503.35068 Kuttler, J. R. 4 1982 Upper and lower bounds for frequencies of clamped rhombical plates. Zbl 0435.73064 Kuttler, J. R.; Sigillito, V. G. 3 1980 A note on a paper of Sperb. Zbl 0265.73057 Kuttler, James R. 3 1973 A remark on the paper ’A maximum principle for fourth order ordinary differential equations’ by Chow, Dunninger, and Lasota. Zbl 0269.34024 Kuttler, J. R. 2 1975 On the \(3x+1\) problem. Zbl 0803.11018 Kuttler, James R. 2 1994 Upper and lower bounds for eigenvalues of torsion and bending problems by finite difference methods. Zbl 0204.48802 Kuttler, J. R. 2 1970 A nodal line theorem for the sloshing problem. Zbl 0549.76012 Kuttler, J. R. 2 1984 Upper and lower bounds for sloshing frequencies by intermediate problems. Zbl 0502.76024 Fox, David W.; Kuttler, James R. 2 1981 Upper and lower bounds for the frequencies of clamped orthotropic plates. Zbl 0445.73048 Kuttler, J. R.; Sigillito, V. G. 1 1980 A finite-difference approximation for the eigenvalues of the clamped plate. Zbl 0205.10001 Kuttler, J. R. 1 1971 Vibrational frequencies of clamped plates of variable thickness. Zbl 0508.73041 Kuttler, J. R.; Sigillito, V. G. 1 1983 Eigenvalues of the Laplacian on regular polygons and polygons resulting from their dissection. (Eigenvalues of the Laplacian on regular polygons and polygons resulting from their disection.) Zbl 1235.35206 Cureton, L. M.; Kuttler, J. R. 7 1999 An improved impedance-boundary algorithm for Fourier split-step solutions of the parabolic wave equation. Zbl 0947.78019 Dockery, G. Daniel; Kuttler, James R. 4 1996 On the \(3x+1\) problem. Zbl 0803.11018 Kuttler, James R. 2 1994 Estimating eigenvalues with a posteriori/a priori inequalities. Zbl 0634.65100 Kuttler, J. R.; Sigillito, V. G. 13 1985 Eigenvalues of the Laplacian in two dimensions. Zbl 0574.65116 Kuttler, J. R.; Sigillito, V. G. 88 1984 A nodal line theorem for the sloshing problem. Zbl 0549.76012 Kuttler, J. R. 2 1984 Sloshing frequencies. Zbl 0539.76022 Fox, D. W.; Kuttler, J. R. 39 1983 Vibrational frequencies of clamped plates of variable thickness. Zbl 0508.73041 Kuttler, J. R.; Sigillito, V. G. 1 1983 Bounds for Stekloff eigenvalues. Zbl 0503.35068 Kuttler, J. R. 4 1982 Upper and lower bounds for sloshing frequencies by intermediate problems. Zbl 0502.76024 Fox, David W.; Kuttler, James R. 2 1981 Upper and lower bounds for frequencies of clamped rhombical plates. Zbl 0435.73064 Kuttler, J. R.; Sigillito, V. G. 3 1980 Upper and lower bounds for the frequencies of clamped orthotropic plates. Zbl 0445.73048 Kuttler, J. R.; Sigillito, V. G. 1 1980 Dirichlet eigenvalues. Zbl 0405.65055 Kuttler, J. R. 9 1979 Bounding eigenvalues of elliptic operators. Zbl 0409.65046 Kuttler, J. R.; Sigillito, V. G. 12 1978 A remark on the paper ’A maximum principle for fourth order ordinary differential equations’ by Chow, Dunninger, and Lasota. Zbl 0269.34024 Kuttler, J. R. 2 1975 Direct methods for computing eigenvalues of the finite-difference Laplacian. Zbl 0288.65060 Kuttler, J. R. 6 1974 A note on a paper of Sperb. Zbl 0265.73057 Kuttler, James R. 3 1973 Remarks on a Stekloff eigenvalue problem. Zbl 0233.35071 Kuttler, James R. 12 1972 Remarks on a Stekloff eigenvalue problem. Zbl 0202.38102 Kuttler, J. R. 9 1972 A fourth-order finite-difference approximation for the fixed membrane eigenproblem. Zbl 0243.65065 Kuttler, J. R. 17 1971 A finite-difference approximation for the eigenvalues of the clamped plate. Zbl 0205.10001 Kuttler, J. R. 1 1971 Finite difference approximations for eigenvalues of uniformly elliptic operators. Zbl 0208.42601 Kuttler, J. R. 10 1970 Upper and lower bounds for eigenvalues by finite differences. Zbl 0204.12003 Kuttler, James R. 7 1970 Upper and lower bounds for eigenvalues of torsion and bending problems by finite difference methods. Zbl 0204.48802 Kuttler, J. R. 2 1970 An inequality for a Stekloff eigenvalue by the method of defect. Zbl 0176.09901 Kuttler, J. R.; Sigillito, V. G. 17 1969 Lower bounds for sloshing frequencies. Zbl 0191.55801 Kuttler, J. R.; Sigillito, V. G. 5 1969 Inequalities for membrane and Stekloff eigenvalues. Zbl 0167.45701 Kuttler, J. R.; Sigillito, V. G. 57 1968 Lower bounds for Stekloff and free membrane eigenvalues. Zbl 0159.16104 Kuttler, J. R.; Sigillito, V. G. 14 1968 all cited Publications top 5 cited Publications all top 5 Cited by 373 Authors 7 Kuttler, James R. 7 Matevosyan, Hovik A. 6 Barnett, Alex H. 6 Girouard, Alexandre 6 Hladík, Milan 6 Kuznetsov, Nikolai Germanovich 5 Amore, Paolo 5 Buoso, Davide 5 Gavitone, Nunzia 5 Liu, Genqian 5 Osting, Braxton 5 Payne, Lawrence Edward 5 Xia, Changyu 4 Chien, Cheng-Sheng 4 Fox, David W. 4 Garloff, Jürgen 4 Gazzola, Filippo 4 Laugesen, Richard Snyder 4 Polterovich, Iosif 4 Siudeja, Bartłomiej Andrzej 3 Ferrero, Alberto 3 Hassannezhad, Asma 3 Hohenegger, Christel 3 Lamberti, Pier Domenico 3 Mei, Liquan 3 Meng, Jian 3 Repin, Sergeĭ Igorevich 3 Sher, David A. 3 Sperb, Rene P. 3 Tan, Chee Han 3 Wang, Qiaoling 2 Adm, Mohammad 2 Ashbaugh, Mark S. 2 Auchmuty, Giles 2 Banjai, Lehel 2 Betcke, Timo 2 Biezuner, Rodney Josué 2 Böhmer, Klaus 2 Boyd, John Philip 2 Bucur, Dorin 2 Chang, Shing-Lin 2 Colbois, Bruno 2 Davis, Anthony M. J. 2 Di Blasio, Giuseppina 2 Ding, Jian 2 Dittmar, Bodo 2 Ennenbach, Ralph 2 Ercole, Grey 2 Evans, David V. 2 Fraser, Ailana M. 2 Goldman, André 2 Gordon, Carolyn S. 2 Grigorieff, Rolf Dieter 2 Han, Weimin 2 Hassell, Andrew 2 Hersch, Joseph 2 Horáček, Jaroslav 2 Huang, Guangyue 2 Jeng, B.-W. 2 Ji, Xingzhi 2 Karpukhin, Mikhail A. 2 Kulczycki, Tadeusz 2 Kwaśnicki, Mateusz 2 Ladeveze, Jean 2 Ladevèze, Pierre 2 Lagacé, Jean 2 Li, Zi-Cai 2 Lin, Fang Hua 2 Ma, Bingqing 2 Martins, Eder Marinho 2 McIver, Philip 2 Mei, Zhen 2 Migliaccio, Giovanni 2 Motygin, Oleg Valer’evich 2 Philippin, Gérard A. 2 Provenzano, Luigi 2 Sannipoli, Rossano 2 Schoen, Richard Melvin 2 Still, Georg J. 2 Verma, Sheela 2 Weidman, Patrick D. 2 Xu, Changji 2 Zamani, Moslem 2 Zhai, Qilong 2 Zhang, Ran 2 Žitňan, Peter 2 Zunino, Paolo 1 Alaya, Jilani 1 Allgower, Eugene L. 1 Alvarado, Carlos A. 1 Amar, V. 1 An, Jing 1 Andrew, Alan L. 1 Anoop, Thazhe Veetil 1 Antunes, Pedro Ricardo Simão 1 Apel, Thomas 1 Araújo Filho, Marcio Costa 1 Arias-Marco, Teresa 1 Asch, Mark 1 Ashok Kumar, K. ...and 273 more Authors all top 5 Cited in 138 Serials 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Journal of Computational Physics 8 Numerische Mathematik 8 Linear Algebra and its Applications 7 Computing 6 Journal of Mathematical Analysis and Applications 6 Journal of Mathematical Physics 6 Journal of Computational and Applied Mathematics 5 Journal of Differential Equations 4 Mathematical Methods in the Applied Sciences 4 Wave Motion 4 Mathematics of Computation 4 Differential Geometry and its Applications 4 Applied Mathematical Modelling 4 International Journal of Computer Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Journal of Mathematical Sciences (New York) 3 Archive for Rational Mechanics and Analysis 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Journal of Fluid Mechanics 3 Applied Mathematics and Computation 3 Journal of Functional Analysis 3 Pacific Journal of Mathematics 3 Applied Numerical Mathematics 3 Journal of Scientific Computing 3 Lobachevskii Journal of Mathematics 3 Journal of Spectral Theory 2 Journal of Applied Mathematics and Mechanics 2 Journal of Engineering Mathematics 2 Advances in Mathematics 2 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 Inventiones Mathematicae 2 SIAM Journal on Numerical Analysis 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 The Journal of Geometric Analysis 2 SIAM Journal on Applied Mathematics 2 Russian Journal of Mathematical Physics 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Revista Matemática Complutense 2 European Journal of Mechanics. B. Fluids 2 Discrete and Continuous Dynamical Systems. Series B 2 Computational Methods in Applied Mathematics 2 Milan Journal of Mathematics 1 Analysis Mathematica 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Moscow University Mathematics Bulletin 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Calcolo 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Transactions of the American Mathematical Society 1 Physica D 1 Optimization 1 Probability Theory and Related Fields 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 1 Publicacions Matemàtiques 1 Computational Mathematics and Modeling 1 Neural Computation 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Geometric and Functional Analysis. GAFA 1 Computational Statistics 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Pattern Recognition 1 SIAM Journal on Mathematical Analysis 1 Computers and Mathematics with Applications. Part B 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Experimental Mathematics 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 Applied and Computational Harmonic Analysis 1 St. Petersburg Mathematical Journal ...and 38 more Serials all top 5 Cited in 37 Fields 164 Partial differential equations (35-XX) 103 Numerical analysis (65-XX) 34 Global analysis, analysis on manifolds (58-XX) 33 Fluid mechanics (76-XX) 25 Mechanics of deformable solids (74-XX) 20 Operator theory (47-XX) 16 Ordinary differential equations (34-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Differential geometry (53-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 9 Potential theory (31-XX) 7 Probability theory and stochastic processes (60-XX) 6 Functional analysis (46-XX) 6 Convex and discrete geometry (52-XX) 6 Operations research, mathematical programming (90-XX) 5 Computer science (68-XX) 5 Optics, electromagnetic theory (78-XX) 4 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 4 Geophysics (86-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year