Edit Profile (opens in new tab) Rice, John R. Compute Distance To: Compute Author ID: rice.john-r Published as: Rice, John R.; Rice, J. R.; Rice, John more...less Homepage: https://www.cs.purdue.edu/people/faculty/jrr/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 156 Publications since 1959, including 9 Books 6 Contributions as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 59 Co-Authors with 79 Joint Publications 527 Co-Co-Authors all top 5 Co-Authors 71 single-authored 34 Houstis, Elias N. 11 Vavalis, Emmanuel A. 10 Lynch, Robert E. 8 Catlin, Ann Christine 7 Weerawarana, Sanjiva 6 Dyksen, Wayne R. 5 Hadjidimos, Apostolos 5 Mu, Mo 4 de Boor, Carl 4 Gaitatzes, Margaret 4 Houstis, Catherine E. 4 Marinescu, Dan Cristian 4 Ramakrishnan, Naren 4 Tsompanopoulou, P. 4 Verykios, Vassilios S. 3 Markus, Shahani 3 Papachiou, P. N. 3 Thomas, Donald H. 2 Boisvert, Ronald F. 2 Bramley, Randall B. 2 Christara, Christina C. 2 Cloninger, C. Robert 2 Drashansky, Tzvetan 2 Hobby, Charles R. 2 Joshi, Anupam 2 Jozsa, Richard 2 Lai, Yu-Ling 2 Lemme, James M. 2 Papatheodorou, Theodore S. 2 Reich, Theodore 2 Rice, John K. 2 Vichnevetsky, Robert 2 Wang, KoYang 2 Wette, Reimut 1 Aird, Thomas J. 1 Argon, Ali S. 1 Bassani, John L. 1 Beremin, F. M. 1 Bevan, Stuart 1 Bilby, B. A. 1 Bölöni, Ladislau L. 1 Bui, Huy Duong 1 Burdekin, F. M. 1 Casaletto, J. J. 1 Char, Bruce W. 1 Chen, Aitao 1 Chen, I.-W. 1 Cheney, Elliott Ward jun. 1 Chrisochoides, Nikos P. 1 Christoffersen, Jes 1 Crabill, Cheryl 1 d’Escatha, Yannick 1 Devaux, J. C. 1 Dhanjani, N. 1 Dragon, André 1 François, Dominique 1 Gallopoulos, Efstratios 1 Gannon, Dennis B. 1 Gittus, J. H. 1 Gottfried, D. 1 Hall, Peter Gavin 1 Hart, John F. 1 Heckman, Nancy E. 1 Hewett, Thomas T. 1 Hutchinson, John Woodside 1 Iwakuma, Tetsuo 1 Kafadar, Karen 1 Kelly, Colleen K. 1 Kfouri, A. F. 1 Kortesis, S. K. 1 Kullberg, Richard 1 Labbens, R. 1 Lau, C. W. 1 Lautridou, J. C. 1 Lawson, Charles L. 1 Ledermann, P. 1 Lehmann, Theodor 1 Loredo, Thomas J. 1 Ma, Zidu 1 Maehly, Hans J. 1 Marandet, B. 1 McClintock, Frank A. 1 McFaddin, H. S. 1 McFaddin, Scott 1 Mehrabadi, Morteza M. 1 Mesztenyi, Charles K. 1 Miller, K. J. 1 Mitchell, William F. 1 Mróz, Zenon 1 Mudry, François 1 Mura, Toshio 1 Nemat-Nasser, Sia 1 Newman, Ken B. 1 Pinneau, A. 1 Reimann, James 1 Ribbens, Calvin J. 1 Roche, R. 1 Rousselier, Gilles 1 Spiegelman, Clifford H. 1 Stein, Michael L. ...and 12 more Co-Authors all top 5 Serials 8 Mathematics of Computation 8 Journal of the Society for Industrial & Applied Mathematics 6 ACM Transactions on Mathematical Software 6 Transactions of the American Mathematical Society 5 SIAM Journal on Numerical Analysis 5 Applied Numerical Mathematics 4 SIAM Journal on Scientific and Statistical Computing 4 Bulletin of the American Mathematical Society 3 International Journal for Numerical Methods in Engineering 3 Journal of Approximation Theory 3 Mathematics and Computers in Simulation 3 Numerical Methods for Partial Differential Equations 3 Journal of Research of the National Bureau of Standards 2 Advances in Applied Probability 2 Archive for Rational Mechanics and Analysis 2 The Annals of Statistics 2 Journal of the Association for Computing Machinery 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Matrix Analysis and Applications 2 Communications in Statistics. Theory and Methods 2 SIAM Journal on Scientific Computing 1 Acta Informatica 1 Applicable Analysis 1 The Canadian Journal of Statistics 1 Journal of Applied Mechanics 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Journal of Research of the National Bureau of Standards 1 Mathematical Biosciences 1 Annals of Human Genetics 1 Biometrics 1 Biometrika 1 Duke Mathematical Journal 1 International Journal of Computer & Information Sciences 1 Journal of the American Statistical Association 1 Journal of Multivariate Analysis 1 Statistics & Probability Letters 1 Parallel Computing 1 Journal of Parallel and Distributed Computing 1 Concurrency: Practice and Experience 1 Journal of the Australian Mathematical Society. Series A 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Review 1 Systems Analysis, Modelling Simulation 1 Advances in Engineering Software 1 Neural, Parallel & Scientific Computations 1 Concurrency and Computation: Practice & Experience 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 The IMA Volumes in Mathematics and its Applications 1 The Kluwer International Series in Engineering and Computer Science 1 Springer Series in Computational Mathematics 1 The Annals of Applied Statistics 1 AICA. Annales de l’Association Internationale pour le Calcul Analogique et de Simulation Hybrides all top 5 Fields 79 Numerical analysis (65-XX) 48 Computer science (68-XX) 34 Partial differential equations (35-XX) 15 Statistics (62-XX) 11 Approximations and expansions (41-XX) 5 General and overarching topics; collections (00-XX) 5 Probability theory and stochastic processes (60-XX) 4 Ordinary differential equations (34-XX) 4 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 1,300 times in 1,057 Documents Cited by ▼ Year ▼ Bandwidth choice for nonparametric regression. Zbl 0554.62035Rice, John 208 1984 Convergence rates for partially splined models. Zbl 0628.62077Rice, John 128 1986 A theory of condition. Zbl 0143.37101Rice, John R. 119 1966 The approximation of functions. Vol. 1: Linear theory. Zbl 0114.27001Rice, John R. 111 1964 Direct solution of partial difference equations by tensor product methods. Zbl 0126.12703Lynch, Robert E.; Rice, John R.; Thomas, Donald H. 100 1964 The approximation of functions. Vol. 2: Nonlinear and multivariate theory. Zbl 0185.30601Rice, John R. 74 1969 A moment problem in \(L_ 1\) approximation. Zbl 0142.09802Hobby, Charles R.; Rice, John R. 54 1965 Solving elliptic problems using ELLPACK. Zbl 0562.65064Rice, John R.; Boisvert, Ronald F. 53 1985 Boundary modification for kernel regression. Zbl 0552.62022Rice, John 50 1984 Computer approximations. Zbl 0174.20402Hart, John F.; Cheney, E. W.; Lawson, Charles L.; Maehly, Hans J.; Mesztenyi, Charles K.; Rice, John R.; Thacher, Henry G. jun.; Witzgall, Christoph 34 1968 Approximation from a curve of functions. Zbl 0187.32602Hobby, C. R.; Rice, John R. 33 1967 Split Runge-Kutta method for simultaneous equations. Zbl 0091.29202Rice, John R. 32 1960 Norms for smoothing and estimation. Zbl 0121.34102Rice, John R.; White, John S. 32 1964 Matrix computations and mathematical software. Zbl 0459.65008Rice, John R. 32 1981 Tchebycheff approximations by functions unisolvent of variable degree. Zbl 0146.08301Rice, J. R. 30 1961 On generalized shot noise. Zbl 0379.60052Rice, John 27 1977 Quadratic-spline collocation methods for two-point boundary value problems. Zbl 0654.65057Houstis, E. N.; Christara, C. C.; Rice, J. R. 26 1988 Experiments on Gram-Schmidt orthogonalization. Zbl 0228.65034Rice, John R. 25 1966 High accuracy finite difference approximation to solutions of elliptic partial differential equations. Zbl 0377.65045Lynch, Robert E.; Rice, John R. 24 1978 Tensor product analysis of partial difference equations. Zbl 0126.12704Lynch, Robert E.; Rice, John R.; Thomas, Donald H. 23 1964 Characterization of Chebyshev approximations by splines. Zbl 0187.32902Rice, J. R. 22 1967 Tschebycheff approximation in a compact metric space. Zbl 0111.26501Rice, J. R. 21 1962 A metalgorithm for adaptive quadrature. Zbl 0368.65012Rice, John R. 20 1975 A high-order difference method for differential equations. Zbl 0424.65037Lynch, Robert E.; Rice, John R. 18 1980 Extremal polynomials with application to Richardson iteration for indefinite linear systems. Zbl 0476.65021De Boor, Carl; Rice, John R. 17 1982 Evaluation of numerical methods for elliptic partial differential equations. Zbl 0381.65059Houstis, E. N.; Lynch, R. E.; Rice, J. R.; Papatheodorou, T. S. 16 1978 Chebyshev approximation by exponentials. Zbl 0144.05801Rice, J. R. 16 1962 Convergence of O(h 4) cubic spline collocation methods for elliptic partial differential equations. Zbl 0637.65113Houstis, E. N.; Vavalis, E. A.; Rice, J. R. 16 1988 Interface relaxation methods for elliptic differential equations. Zbl 0942.65138Rice, J. R.; Tsompanopoulou, P.; Vavalis, E. 16 2000 The characterization of best nonlinear Tchebycheff approximations. Zbl 0146.08204Rice, J. R. 14 1960 On the estimation of the parameters of a power spectrum. Zbl 0415.62071Rice, John 14 1979 General interior Hermite collocation methods for second-order elliptic partial differential equations. Zbl 0817.65092Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R. 13 1994 On the degree of convergence of nonlinear spline approximation. Zbl 0266.41012Rice, John R. 12 1969 Nonparametric estimation of a periodic function. Zbl 0956.62031Hall, Peter; Reimann, James; Rice, John 11 2000 On the conditioning of polynomial and rational forms. Zbl 0139.10101Rice, John R. 11 1965 Collocation software for second-order elliptic partial differential equations. Zbl 0584.65075Houstis, E. N.; Mitchell, W. F.; Rice, J. R. 11 1985 Systematic search in high dimensional sets. Zbl 0359.68044Aird, Thomas J.; Rice, John R. 10 1977 Approximation with convex constraints. Zbl 0116.04501Rice, J. R. 10 1963 Tensor product analysis of alternating direction implicit methods. Zbl 0137.33303Lynch, R. E.; Rice, J. R.; Thomas, D. H. 9 1965 The degree of convergence for entire functions. Zbl 0219.30024Rice, J. R. 9 1971 The performance of the collocation and Galerkin methods with Hermite bi- cubics. Zbl 0562.65082Dyksen, W. R.; Houstis, E. N.; Lynch, R. E.; Rice, J. R. 9 1984 An adaptive algorithm for multivariate approximation giving optimal convergence rates. Zbl 0411.41008De Boor, Carl; Rice, John R. 9 1979 Chebyshev approximation by a \(\Pi(x-r_ i)/(x+s_ i)\) and application to ADI iteration. Zbl 0116.04503de Boor, C.; Rice, J. R. 8 1963 Tchebycheff approximation in several variables. Zbl 0144.05802Rice, J. R. 8 1963 The Lawson algorithm and extensions. Zbl 0155.21902Rice, J. R.; Usow, K. H. 8 1968 The Hodie method and its performance for solving elliptic partial differential equations. Zbl 0456.65060Lynch, Robert E.; Rice, John R. 8 1978 Analysis of a nonoverlapping domain decomposition method for elliptic partial differential equations. Zbl 0903.65090Rice, J. R.; Vavalis, E. A.; Yang, Daoqi 8 1997 A population of linear, second order, elliptic partial differential equations on rectangular domains. I. Zbl 0475.65069Rice, John R.; Houstis, Elias N.; Dyksen, Wayne R. 7 1981 PYTHIA: A knowledge-based system to select scientific algorithms. Zbl 0884.65123Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John R.; Joshi, Anupam; Houstis, Catherine E. 7 1996 Analysis of iterative line spline collocation methods for elliptic partial differential equations. Zbl 0947.65122Hadjidimos, A.; Houstis, E. N.; Rice, J. R.; Vavalis, E. 7 1999 Parallel ELLPACK: A development and problem solving environment for high performance computing machines. (With discussion). Zbl 0793.68071Houstis, E. N.; Rice, J. R. 6 1992 Iterative line cubic spline collocation methods for elliptic partial differential equations in several dimensions. Zbl 0776.65063Hadjidimos, A.; Houstis, E. N.; Rice, J. R.; Vavalis, E. A. 6 1993 Development, evaluation and selection of methods for elliptic partial differential equations. Zbl 0302.65075Houstis, E. N.; Lynch, R. E.; Papatheodorou, T. S.; Rice, J. R. 6 1975 On the iterative solution of Hermite collocation equations. Zbl 0821.65069Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R. 6 1995 Matrix representation of nonlinear equation iterations - Application to parallel computation. Zbl 0233.65032Rice, John R. 6 1971 On grid refinement at point singularities for \(h-p\) methods. Zbl 0761.65088Chen, A. T.; Rice, J. R. 5 1992 Agent based scientific simulation and modeling. Zbl 1120.68456Bölöni, L.; Marinescu, D. C.; Rice, J. R.; Tsompanopoulou, P.; Vavalis, E. A. 5 2000 Fine tuning interface relaxation methods for elliptic differential equations. Zbl 1017.65098Rice, J. R.; Tsompanopoulou, P.; Vavalis, E. 5 2002 On nonlinear \(L_ 1\) approximation. Zbl 0131.06302Rice, John R. 5 1964 On the existence and characterization of best nonlinear Tchebycheff approximations. Zbl 0146.08401Rice, J. R. 5 1964 An analysis of cell membrane noise. Zbl 0405.92004Bevan, Stuart; Kullberg, Richard; Rice, John 5 1979 Collaborating PDE solvers. Zbl 0767.65086McFaddin, H. S.; Rice, J. R. 4 1992 Future problem solving environments for computational science. Zbl 0972.68146Houstis, Elias N.; Rice, John R. 4 2000 Modeling nucleotide evolution: A heterogeneous rate analysis. Zbl 0845.92017Kelly, Colleen; Rice, John 4 1996 Multi-parameterized Schwarz alternating methods for elliptic boundary value problems. Zbl 1080.65546Kim, S.-B.; Hadjidimos, A.; Houstis, E. N.; Rice, J. R. 4 1996 GAUSS: an online algorithm selection system for numerical quadrature. Zbl 1003.68581Ramakrishnan, Naren; Rice, John R.; Houstis, Elias N. 4 2002 Adaptive approximation. Zbl 0322.41013Rice, John R. 4 1976 Enabling technologies for computational science. Frameworks, middleware and environments. Zbl 0943.00027 3 2000 Modeling the survival of chinook salmon smolts outmigrating through the lower Sacramento river system. Zbl 1073.62596Newman, Ken B.; Rice, John 3 2002 PYTHIA-II: a knowledge/database system for managing performance data and recommending scientific software. Zbl 1063.68664Houstis, Elias N.; Catlin, Ann C.; Rice, John R.; Verykios, Vassilios S.; Ramakrishnan, Naren; Houstis, Catherine E. 3 2000 PELLPACK: A problem-solving environment for PDE-based applications on multicomputer platforms. Zbl 0917.65097Houstis, E. N.; Rice, J. R.; Weerawarana, S.; Catlin, A. C.; Papachiou, P.; Wang, K.-Y.; Gaitatzes, M. 3 1998 Numerical methods, software, and analysis. 2. ed. Zbl 0782.65004Rice, John R. 3 1993 Chebyshev approximation by \(ab^ x+c\). Zbl 0103.28901Rice, John R. 3 1961 On the computation of \(L_ 1\) approximations by exponentials, rationals, and other functions. Zbl 0121.11601Rice, John R. 3 1964 High order methods for elliptic partial differential equations with singularities. Zbl 0484.65065Houstis, Elias N.; Rice, John R. 3 1982 The importance of scaling for the Hermite bicubic collocation equations. Zbl 0602.65015Dyksen, Wayne R.; Rice, John R. 3 1986 An experimental performance analysis for the rate of convergence of collocation on general domains. Zbl 0667.65092Mu, Mo; Rice, John R. 3 1989 Performance of scientific software. Zbl 0683.65098Houstis, E. N.; Rice, J. R.; Christara, C. C.; Vavalis, E. A. 3 1988 On the cohomology ring of hyperplane complements. Zbl 0746.58010Jozsa, Richard; Rice, John 2 1991 A grid-based subtree-subcube assignment strategy for solving partial differential equations on hypercubes. Zbl 0757.65121Mu, Mo; Rice, J. R. 2 1992 RELAX: A software platform for PDE interface relaxation methods. Zbl 0771.65086McFaddin, Scott; Rice, John R. 2 1992 GasTurbnLab: A multidisciplinary problem solving environment for gas turbine engine design on a network of nonhomogeneous machines. Zbl 1011.68164Houstis, E. N.; Catlin, A. C.; Tsompanopoulou, P.; Gottfried, D.; Balakrishnan, G.; Su, K.; Rice, J. R. 2 2002 Convergence rates of ADI methods with smooth initial error. Zbl 0252.65080Lynch, Robert E.; Rice, John R. 2 1968 Modeling with collaborating PDE solvers: Theory and practice. Zbl 0817.65125Mu, Mo; Rice, John R. 2 1994 A new ordering scheme for the Hermite bicubic collocation equations. Zbl 0575.65115Dyksen, Wayne R.; Rice, John R. 2 1984 On the convergence of an algorithm for best Tchebycheff approximations. Zbl 0089.04204Rice, J. R. 2 1959 Tensor products and commutative matrices. Zbl 0156.26802de Boor, C.; Rice, J. R. 2 1964 ELLPACK: Progress and plans. Zbl 0467.65043Rice, John R. 2 1981 The performance of numerical methods for elliptic problems with mixed boundary conditions. Zbl 0669.65082Dyksen, Wayne R.; Ribbens, Calvin J.; Rice, John R. 2 1988 Numerical computation with general two-dimensional domains. Zbl 0548.65002Rice, John R. 2 1984 ELLPACK: A research tool for elliptic partial differential equations software. Zbl 0407.68038Rice, John R. 2 1977 An approximation to the multivariate normal integral: Its application to multifactorial qualitative traits. Zbl 0411.62079Rice, J.; Reich, T.; Cloninger, C. R.; Wette, R. 2 1979 Performance analysis of 13 methods to solve the Galerkin method equations. Zbl 0515.65081Rice, John R. 2 1983 Expert systems for scientific computing. Proceedings of the 2nd IMACS International Conference, Purdue Univ., West Lafayette, IN/USA, 24-26 April 1990. Zbl 0747.00037 1 1992 Mathematical aspects of scientific software (in part the proceedings of a workshop which was an integral part of the 1986–87 IMA program on scientific computation). Zbl 0635.00019 1 1988 Domain decomposer: A software tool for mapping PDE computations to parallel architectures. Zbl 0766.65101Chrisochoides, N. P.; Houstis, C. E.; Houstis, E. N.; Papachiou, P. N.; Kortesis, S. K.; Rice, J. R. 1 1991 Workshop on scientific knowledge, information and computing. Zbl 0985.68726Bramley, Randall; Char, Bruce; Gannon, Dennis; Hewett, Thomas T.; Johnson, Chris; Rice, John R. 1 2000 PPK: Towards a kernel for building PSES. Zbl 0972.68804Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John R.; Catlin, Ann Christine; Gaitatzes, Margaret; Crabill, Cheryl; Markus, Shahani; Drashansky, Tzvetan 1 2000 SoftLab: A virtual laboratory framework for computational science. Zbl 0972.68807Catlin, Ann Christine; Gaitatzes, Margaret; Houstis, Elias; Ma, Zidu; Markus, Shahani; Rice, John R.; Wang, Nien-Hwa; Weerawarana, Sanjiva 1 2000 On high level characterization of parallelism. Zbl 0807.68014Marinescu, Dan C.; Rice, John R. 1 1994 Fine tuning interface relaxation methods for elliptic differential equations. Zbl 1017.65098Rice, J. R.; Tsompanopoulou, P.; Vavalis, E. 5 2002 GAUSS: an online algorithm selection system for numerical quadrature. Zbl 1003.68581Ramakrishnan, Naren; Rice, John R.; Houstis, Elias N. 4 2002 Modeling the survival of chinook salmon smolts outmigrating through the lower Sacramento river system. Zbl 1073.62596Newman, Ken B.; Rice, John 3 2002 GasTurbnLab: A multidisciplinary problem solving environment for gas turbine engine design on a network of nonhomogeneous machines. Zbl 1011.68164Houstis, E. N.; Catlin, A. C.; Tsompanopoulou, P.; Gottfried, D.; Balakrishnan, G.; Su, K.; Rice, J. R. 2 2002 MyPYTHIA: a recommendation portal for scientific software and services. Zbl 1007.68617Houstis, E. N.; Catlin, A. C.; Dhanjani, N.; Rice, J. R.; Ramakrishnan, N.; Verykios, V. 1 2002 Interface relaxation methods for elliptic differential equations. Zbl 0942.65138Rice, J. R.; Tsompanopoulou, P.; Vavalis, E. 16 2000 Nonparametric estimation of a periodic function. Zbl 0956.62031Hall, Peter; Reimann, James; Rice, John 11 2000 Agent based scientific simulation and modeling. Zbl 1120.68456Bölöni, L.; Marinescu, D. C.; Rice, J. R.; Tsompanopoulou, P.; Vavalis, E. A. 5 2000 Future problem solving environments for computational science. Zbl 0972.68146Houstis, Elias N.; Rice, John R. 4 2000 Enabling technologies for computational science. Frameworks, middleware and environments. Zbl 0943.00027 3 2000 PYTHIA-II: a knowledge/database system for managing performance data and recommending scientific software. Zbl 1063.68664Houstis, Elias N.; Catlin, Ann C.; Rice, John R.; Verykios, Vassilios S.; Ramakrishnan, Naren; Houstis, Catherine E. 3 2000 Workshop on scientific knowledge, information and computing. Zbl 0985.68726Bramley, Randall; Char, Bruce; Gannon, Dennis; Hewett, Thomas T.; Johnson, Chris; Rice, John R. 1 2000 PPK: Towards a kernel for building PSES. Zbl 0972.68804Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John R.; Catlin, Ann Christine; Gaitatzes, Margaret; Crabill, Cheryl; Markus, Shahani; Drashansky, Tzvetan 1 2000 SoftLab: A virtual laboratory framework for computational science. Zbl 0972.68807Catlin, Ann Christine; Gaitatzes, Margaret; Houstis, Elias; Ma, Zidu; Markus, Shahani; Rice, John R.; Wang, Nien-Hwa; Weerawarana, Sanjiva 1 2000 Analysis of iterative line spline collocation methods for elliptic partial differential equations. Zbl 0947.65122Hadjidimos, A.; Houstis, E. N.; Rice, J. R.; Vavalis, E. 7 1999 PELLPACK: A problem-solving environment for PDE-based applications on multicomputer platforms. Zbl 0917.65097Houstis, E. N.; Rice, J. R.; Weerawarana, S.; Catlin, A. C.; Papachiou, P.; Wang, K.-Y.; Gaitatzes, M. 3 1998 Analysis of a nonoverlapping domain decomposition method for elliptic partial differential equations. Zbl 0903.65090Rice, J. R.; Vavalis, E. A.; Yang, Daoqi 8 1997 Multi-agent simulation of complex heterogeneous models in scientific computing. Zbl 1017.68548Joshi, Anupam; Drashansky, Tzvetan; Rice, John; Weerawarana, Sanjiva; Houstis, Elias 1 1997 What is an answer? An essay on the theory of functions. Zbl 0881.68063Rice, John R. 1 1997 PYTHIA: A knowledge-based system to select scientific algorithms. Zbl 0884.65123Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John R.; Joshi, Anupam; Houstis, Catherine E. 7 1996 Modeling nucleotide evolution: A heterogeneous rate analysis. Zbl 0845.92017Kelly, Colleen; Rice, John 4 1996 Multi-parameterized Schwarz alternating methods for elliptic boundary value problems. Zbl 1080.65546Kim, S.-B.; Hadjidimos, A.; Houstis, E. N.; Rice, J. R. 4 1996 On the iterative solution of Hermite collocation equations. Zbl 0821.65069Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R. 6 1995 General interior Hermite collocation methods for second-order elliptic partial differential equations. Zbl 0817.65092Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R. 13 1994 Modeling with collaborating PDE solvers: Theory and practice. Zbl 0817.65125Mu, Mo; Rice, John R. 2 1994 On high level characterization of parallelism. Zbl 0807.68014Marinescu, Dan C.; Rice, John R. 1 1994 Iterative line cubic spline collocation methods for elliptic partial differential equations in several dimensions. Zbl 0776.65063Hadjidimos, A.; Houstis, E. N.; Rice, J. R.; Vavalis, E. A. 6 1993 Numerical methods, software, and analysis. 2. ed. Zbl 0782.65004Rice, John R. 3 1993 Parallel ELLPACK: A development and problem solving environment for high performance computing machines. (With discussion). Zbl 0793.68071Houstis, E. N.; Rice, J. R. 6 1992 On grid refinement at point singularities for \(h-p\) methods. Zbl 0761.65088Chen, A. T.; Rice, J. R. 5 1992 Collaborating PDE solvers. Zbl 0767.65086McFaddin, H. S.; Rice, J. R. 4 1992 A grid-based subtree-subcube assignment strategy for solving partial differential equations on hypercubes. Zbl 0757.65121Mu, Mo; Rice, J. R. 2 1992 RELAX: A software platform for PDE interface relaxation methods. Zbl 0771.65086McFaddin, Scott; Rice, John R. 2 1992 Expert systems for scientific computing. Proceedings of the 2nd IMACS International Conference, Purdue Univ., West Lafayette, IN/USA, 24-26 April 1990. Zbl 0747.00037 1 1992 On the cohomology ring of hyperplane complements. Zbl 0746.58010Jozsa, Richard; Rice, John 2 1991 Domain decomposer: A software tool for mapping PDE computations to parallel architectures. Zbl 0766.65101Chrisochoides, N. P.; Houstis, C. E.; Houstis, E. N.; Papachiou, P. N.; Kortesis, S. K.; Rice, J. R. 1 1991 An experimental performance analysis for the rate of convergence of collocation on general domains. Zbl 0667.65092Mu, Mo; Rice, John R. 3 1989 Quadratic-spline collocation methods for two-point boundary value problems. Zbl 0654.65057Houstis, E. N.; Christara, C. C.; Rice, J. R. 26 1988 Convergence of O(h 4) cubic spline collocation methods for elliptic partial differential equations. Zbl 0637.65113Houstis, E. N.; Vavalis, E. A.; Rice, J. R. 16 1988 Performance of scientific software. Zbl 0683.65098Houstis, E. N.; Rice, J. R.; Christara, C. C.; Vavalis, E. A. 3 1988 The performance of numerical methods for elliptic problems with mixed boundary conditions. Zbl 0669.65082Dyksen, Wayne R.; Ribbens, Calvin J.; Rice, John R. 2 1988 Mathematical aspects of scientific software (in part the proceedings of a workshop which was an integral part of the 1986–87 IMA program on scientific computation). Zbl 0635.00019 1 1988 Convergence rates for partially splined models. Zbl 0628.62077Rice, John 128 1986 The importance of scaling for the Hermite bicubic collocation equations. Zbl 0602.65015Dyksen, Wayne R.; Rice, John R. 3 1986 Solving elliptic problems using ELLPACK. Zbl 0562.65064Rice, John R.; Boisvert, Ronald F. 53 1985 Collocation software for second-order elliptic partial differential equations. Zbl 0584.65075Houstis, E. N.; Mitchell, W. F.; Rice, J. R. 11 1985 Symmetric versus nonsymmetric differencing. Zbl 0562.65070Dyksen, Wayne R.; Rice, John R. 1 1985 Bandwidth choice for nonparametric regression. Zbl 0554.62035Rice, John 208 1984 Boundary modification for kernel regression. Zbl 0552.62022Rice, John 50 1984 The performance of the collocation and Galerkin methods with Hermite bi- cubics. Zbl 0562.65082Dyksen, W. R.; Houstis, E. N.; Lynch, R. E.; Rice, J. R. 9 1984 A new ordering scheme for the Hermite bicubic collocation equations. Zbl 0575.65115Dyksen, Wayne R.; Rice, John R. 2 1984 Numerical computation with general two-dimensional domains. Zbl 0548.65002Rice, John R. 2 1984 Performance analysis of 13 methods to solve the Galerkin method equations. Zbl 0515.65081Rice, John R. 2 1983 Extremal polynomials with application to Richardson iteration for indefinite linear systems. Zbl 0476.65021De Boor, Carl; Rice, John R. 17 1982 High order methods for elliptic partial differential equations with singularities. Zbl 0484.65065Houstis, Elias N.; Rice, John R. 3 1982 An approach to peak area estimation. Zbl 0492.62089Rice, John 1 1982 Matrix computations and mathematical software. Zbl 0459.65008Rice, John R. 32 1981 A population of linear, second order, elliptic partial differential equations on rectangular domains. I. Zbl 0475.65069Rice, John R.; Houstis, Elias N.; Dyksen, Wayne R. 7 1981 ELLPACK: Progress and plans. Zbl 0467.65043Rice, John R. 2 1981 A high-order difference method for differential equations. Zbl 0424.65037Lynch, Robert E.; Rice, John R. 18 1980 On the estimation of the parameters of a power spectrum. Zbl 0415.62071Rice, John 14 1979 An adaptive algorithm for multivariate approximation giving optimal convergence rates. Zbl 0411.41008De Boor, Carl; Rice, John R. 9 1979 An analysis of cell membrane noise. Zbl 0405.92004Bevan, Stuart; Kullberg, Richard; Rice, John 5 1979 An approximation to the multivariate normal integral: Its application to multifactorial qualitative traits. Zbl 0411.62079Rice, J.; Reich, T.; Cloninger, C. R.; Wette, R. 2 1979 Speedup in parallel algorithms for adaptive quadrature. Zbl 0389.65009Lemme, James M.; Rice, John R. 1 1979 High accuracy finite difference approximation to solutions of elliptic partial differential equations. Zbl 0377.65045Lynch, Robert E.; Rice, John R. 24 1978 Evaluation of numerical methods for elliptic partial differential equations. Zbl 0381.65059Houstis, E. N.; Lynch, R. E.; Rice, J. R.; Papatheodorou, T. S. 16 1978 The Hodie method and its performance for solving elliptic partial differential equations. Zbl 0456.65060Lynch, Robert E.; Rice, John R. 8 1978 Multivariate piecewise polynomial approximation. Zbl 0415.41004Rice, John R. 1 1978 On generalized shot noise. Zbl 0379.60052Rice, John 27 1977 Systematic search in high dimensional sets. Zbl 0359.68044Aird, Thomas J.; Rice, John R. 10 1977 ELLPACK: A research tool for elliptic partial differential equations software. Zbl 0407.68038Rice, John R. 2 1977 Mathematical software III. Proceedings of a symposium conducted by the Mathematics Research Center, The University of Wisconsin-Madison, March 28-30, 1977. Zbl 0403.00017 1 1977 Adaptive approximation. Zbl 0322.41013Rice, John R. 4 1976 Parallel algorithms for adaptive quadrature. III: Program correctness. Zbl 0327.65025Rice, John R. 1 1976 A metalgorithm for adaptive quadrature. Zbl 0368.65012Rice, John R. 20 1975 Development, evaluation and selection of methods for elliptic partial differential equations. Zbl 0302.65075Houstis, E. N.; Lynch, R. E.; Papatheodorou, T. S.; Rice, J. R. 6 1975 Adaptive quadrature: Convergence of parallel and sequential algorithms. Zbl 0304.65017Rice, John R. 1 1974 The degree of convergence for entire functions. Zbl 0219.30024Rice, J. R. 9 1971 Matrix representation of nonlinear equation iterations - Application to parallel computation. Zbl 0233.65032Rice, John R. 6 1971 Mathematical software. Based on the proceedings of the mathematical software symposium held at Purdue University, Lafayette, Indiana, April 1-3, 1970. Zbl 0234.68003 1 1971 Running orthogonalization. Zbl 0243.65002Rice, John R. 1 1971 A characterization of entire functions in terms of degree of convergence. Zbl 0189.08401Rice, John R. 1 1970 General purpose curve fitting. Zbl 0215.55203Rice, J. R. 1 1970 The approximation of functions. Vol. 2: Nonlinear and multivariate theory. Zbl 0185.30601Rice, John R. 74 1969 On the degree of convergence of nonlinear spline approximation. Zbl 0266.41012Rice, John R. 12 1969 Approximation des fonctions. Théorie linéaire. Zbl 0176.34501Rice, J. R. 1 1969 Computer approximations. Zbl 0174.20402Hart, John F.; Cheney, E. W.; Lawson, Charles L.; Maehly, Hans J.; Mesztenyi, Charles K.; Rice, John R.; Thacher, Henry G. jun.; Witzgall, Christoph 34 1968 The Lawson algorithm and extensions. Zbl 0155.21902Rice, J. R.; Usow, K. H. 8 1968 Convergence rates of ADI methods with smooth initial error. Zbl 0252.65080Lynch, Robert E.; Rice, John R. 2 1968 On the construction of polyalgorithms for automatic numerical analysis. Zbl 0205.18901Rice, John R. 1 1968 Approximation from a curve of functions. Zbl 0187.32602Hobby, C. R.; Rice, John R. 33 1967 Characterization of Chebyshev approximations by splines. Zbl 0187.32902Rice, J. R. 22 1967 Nonlinear approximation. II: Curvature in Minkowski geometry and local uniqueness. Zbl 0177.40703Rice, John R. 1 1967 A theory of condition. Zbl 0143.37101Rice, John R. 119 1966 Experiments on Gram-Schmidt orthogonalization. Zbl 0228.65034Rice, John R. 25 1966 A moment problem in \(L_ 1\) approximation. Zbl 0142.09802Hobby, Charles R.; Rice, John R. 54 1965 On the conditioning of polynomial and rational forms. Zbl 0139.10101Rice, John R. 11 1965 Tensor product analysis of alternating direction implicit methods. Zbl 0137.33303Lynch, R. E.; Rice, J. R.; Thomas, D. H. 9 1965 Nonlinear approximation. Zbl 0154.14903Rice, John R. 1 1965 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,303 Authors 41 Dunham, Charles B. 27 Rice, John R. 18 Wei, Yimin 15 Diao, Huaian 13 Braess, Dietrich 12 Loeb, Henry L. 11 Barrar, Richard B. 11 Houstis, Elias N. 11 Sandu, Adrian 11 Shen, Jie 10 Huang, Hung-Tsai 10 Li, Zi-Cai 10 Wang, Shaoxin 9 Bialecki, Bernard 9 Li, Hanyu 9 Lynch, Robert E. 9 Nürnberger, Günther 8 Vavalis, Emmanuel A. 7 Fairweather, Graeme 7 Hadjidimos, Apostolos 7 Liu, Jun 7 Sangalli, Giancarlo 7 Sukhorukova, Nadezda 7 Tani, Mattia 6 Kincaid, David Ronald 6 Oppe, Thomas C. 6 Quesada, José María 6 Reichel, Lothar 6 Sommer, Manfred 6 Stiller, Jörg 6 Strauss, Hans 6 Sun, Jiguang 6 Tsompanopoulou, P. 6 Yang, Hu 5 Christara, Christina C. 5 Dyksen, Wayne R. 5 Farouki, Rida T. 5 Karageorghis, Andreas 5 Kroó, András 5 Montardini, Monica 5 Roberts, Steven P. 5 Sarshar, Arash 5 Ugon, Julien 5 Wolfe, Jerry M. 5 Young, David M. jun. 4 Breiding, Paul 4 Dubois, Didier 4 Filos-Ratsikas, Aris 4 Fischer, Paul F. 4 Günther, Michael 4 Huang, Jin 4 Jia, Zhigang 4 Martínez-Moreno, Juan 4 Micchelli, Charles A. 4 Milovanović, Gradimir V. 4 Navas, Juan 4 Papatheodorou, Theodore S. 4 Peherstorfer, Franz 4 Pinkus, Allan M. 4 Qiao, Sanzheng 4 Rababah, Abedallah 4 Ribbens, Calvin J. 4 Samar, Mahvish 4 Saridakis, Yiannis G. 4 Smith-Miles, Kate A. 4 Taylor, Gerald D. 4 Vannieuwenhoven, Nick 4 Wang, Yan 4 Watson, G. Alistair 4 Xu, Shufang 3 Abatzoglou, Theagenis J. 3 Abdelmalek, Nabih N. 3 AlQudah, Mohammad A. 3 Ambrósio, Jorge A. C. 3 Angel, Edward S. 3 Arioli, Mario 3 Baatar, Davaatseren 3 Bacopoulos, Alex 3 Bartel, Andreas 3 Bergeon, Alain 3 Björck, Åke 3 Calvetti, Daniela 3 Constantinescu, Emil M. 3 Dang Van Hieu 3 Deutsch, Frank 3 Dopico, Froilán M. 3 Dyn, Nira 3 Fortemps, Philippe 3 Fröhlich, Jochen 3 Fu, Hongfei 3 Gálvez, Akemi 3 Goldberg, Paul W. 3 Gratton, Serge 3 Gu, Xian-Ming 3 Hayotov, Abdullo Rakhmonovich 3 Hofreither, Clemens 3 Hollender, Alexandros 3 Huismann, Immo 3 Huotari, Robert 3 Iglesias, Andrés ...and 1,203 more Authors all top 5 Cited in 213 Serials 99 Journal of Approximation Theory 71 Journal of Computational and Applied Mathematics 47 Numerische Mathematik 43 Journal of Computational Physics 40 Applied Mathematics and Computation 40 Linear Algebra and its Applications 29 Mathematics of Computation 24 Computing 22 Applied Numerical Mathematics 22 Journal of Scientific Computing 18 Computers & Mathematics with Applications 18 Journal of Mathematical Analysis and Applications 18 International Journal of Computer Mathematics 18 SIAM Journal on Scientific Computing 17 BIT 17 Mathematics and Computers in Simulation 15 Numerical Algorithms 14 Numerical Functional Analysis and Optimization 13 Numerical Methods for Partial Differential Equations 11 Computer Methods in Applied Mechanics and Engineering 11 Transactions of the American Mathematical Society 11 European Journal of Operational Research 10 Computers and Fluids 10 Mathematische Zeitschrift 10 Proceedings of the American Mathematical Society 9 Journal of Optimization Theory and Applications 9 Aequationes Mathematicae 9 Engineering Analysis with Boundary Elements 8 Calcolo 8 International Journal for Numerical Methods in Engineering 8 Constructive Approximation 8 BIT. 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Serie Quarta 2 The Annals of Statistics 2 Archiv der Mathematik 2 Automatica 2 International Journal of Computer & Information Sciences 2 Journal of Computer and System Sciences 2 Journal of Econometrics 2 Journal of Statistical Planning and Inference 2 Mathematical Programming 2 Results in Mathematics 2 SIAM Journal on Computing 2 Statistics & Probability Letters 2 SIAM Journal on Algebraic and Discrete Methods 2 Algorithmica 2 Discrete & Computational Geometry 2 Applied Mathematics Letters 2 Concurrency: Practice and Experience 2 Communications in Statistics. Theory and Methods 2 Bulletin of the American Mathematical Society. New Series 2 Cybernetics and Systems Analysis 2 Communications in Numerical Methods in Engineering 2 Applied and Computational Harmonic Analysis 2 Computational and Applied Mathematics 2 Filomat 2 ELA. The Electronic Journal of Linear Algebra 2 Journal of Mathematical Chemistry 2 Abstract and Applied Analysis ...and 113 more Serials all top 5 Cited in 52 Fields 617 Numerical analysis (65-XX) 274 Approximations and expansions (41-XX) 158 Partial differential equations (35-XX) 110 Linear and multilinear algebra; matrix theory (15-XX) 75 Fluid mechanics (76-XX) 55 Operations research, mathematical programming (90-XX) 51 Computer science (68-XX) 43 Statistics (62-XX) 35 Ordinary differential equations (34-XX) 26 Systems theory; control (93-XX) 21 Special functions (33-XX) 18 Functions of a complex variable (30-XX) 18 Mechanics of deformable solids (74-XX) 17 Integral equations (45-XX) 15 Real functions (26-XX) 14 Operator theory (47-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Probability theory and stochastic processes (60-XX) 12 Combinatorics (05-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Information and communication theory, circuits (94-XX) 11 Optics, electromagnetic theory (78-XX) 10 Convex and discrete geometry (52-XX) 8 Functional analysis (46-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Biology and other natural sciences (92-XX) 7 Algebraic topology (55-XX) 5 Mathematical logic and foundations (03-XX) 5 General topology (54-XX) 5 Geophysics (86-XX) 4 Measure and integration (28-XX) 4 Sequences, series, summability (40-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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