## Rice, John R.

Compute Distance To:
 Author ID: rice.john-r Published as: Rice, John R.; Rice, J. R.; Rice, John Homepage: https://www.cs.purdue.edu/people/faculty/jrr/ External Links: MGP · Wikidata · dblp · IdRef
 Documents Indexed: 157 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 523 Co-Co-Authors
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### 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 1 Rousselier, Gilles 1 Spiegelman, Clifford H. 1 Stein, Michael L. ...and 12 more Co-Authors
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### 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 Proceedings of the American Mathematical Society 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 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
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### 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 Several complex variables and analytic spaces (32-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 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-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)

### Citations contained in zbMATH Open

123 Publications have been cited 1,691 times in 1,019 Documents Cited by Year
Bandwidth choice for nonparametric regression. Zbl 0554.62035
Rice, John
1984
Convergence rates for partially splined models. Zbl 0628.62077
Rice, John
1986
A theory of condition. Zbl 0143.37101
Rice, John R.
1966
The approximation of functions. Vol. 1: Linear theory. Zbl 0114.27001
Rice, John R.
1964
Direct solution of partial difference equations by tensor product methods. Zbl 0126.12703
Lynch, Robert E.; Rice, John R.; Thomas, Donald H.
1964
The approximation of functions. Vol. 2: Nonlinear and multivariate theory. Zbl 0185.30601
Rice, John R.
1969
Solving elliptic problems using ELLPACK. Zbl 0562.65064
Rice, John R.; Boisvert, Ronald F.
1985
Boundary modification for kernel regression. Zbl 0552.62022
Rice, John
1984
A moment problem in $$L_ 1$$ approximation. Zbl 0142.09802
Hobby, Charles R.; Rice, John R.
1965
Computer approximations. Zbl 0174.20402
Hart, John F.; Cheney, E. W.; Lawson, Charles L.; Maehly, Hans J.; Mesztenyi, Charles K.; Rice, John R.; Thacher, Henry G. jun.; Witzgall, Christoph
1968
Approximation from a curve of functions. Zbl 0187.32602
Hobby, C. R.; Rice, John R.
1967
Norms for smoothing and estimation. Zbl 0121.34102
Rice, John R.; White, John S.
1964
Matrix computations and mathematical software. Zbl 0459.65008
Rice, John R.
1981
Tchebycheff approximations by functions unisolvent of variable degree. Zbl 0146.08301
Rice, J. R.
1961
On generalized shot noise. Zbl 0379.60052
Rice, John
1977
Split Runge-Kutta method for simultaneous equations. Zbl 0091.29202
Rice, John R.
1960
Experiments on Gram-Schmidt orthogonalization. Zbl 0228.65034
Rice, John R.
1966
Quadratic-spline collocation methods for two-point boundary value problems. Zbl 0654.65057
Houstis, E. N.; Christara, C. C.; Rice, J. R.
1988
High accuracy finite difference approximation to solutions of elliptic partial differential equations. Zbl 0377.65045
Lynch, Robert E.; Rice, John R.
1978
Tensor product analysis of partial difference equations. Zbl 0126.12704
Lynch, Robert E.; Rice, John R.; Thomas, Donald H.
1964
Characterization of Chebyshev approximations by splines. Zbl 0187.32902
Rice, J. R.
1967
Tschebycheff approximation in a compact metric space. Zbl 0111.26501
Rice, J. R.
1962
Rice, John R.
1975
A high-order difference method for differential equations. Zbl 0424.65037
Lynch, Robert E.; Rice, John R.
1980
Extremal polynomials with application to Richardson iteration for indefinite linear systems. Zbl 0476.65021
De Boor, Carl; Rice, John R.
1982
Chebyshev approximation by exponentials. Zbl 0144.05801
Rice, J. R.
1962
Evaluation of numerical methods for elliptic partial differential equations. Zbl 0381.65059
Houstis, E. N.; Lynch, R. E.; Rice, J. R.; Papatheodorou, T. S.
1978
Interface relaxation methods for elliptic differential equations. Zbl 0942.65138
Rice, J. R.; Tsompanopoulou, P.; Vavalis, E.
2000
The characterization of best nonlinear Tchebycheff approximations. Zbl 0146.08204
Rice, J. R.
1960
On the estimation of the parameters of a power spectrum. Zbl 0415.62071
Rice, John
1979
Convergence of O(h 4) cubic spline collocation methods for elliptic partial differential equations. Zbl 0637.65113
Houstis, E. N.; Vavalis, E. A.; Rice, J. R.
1988
General interior Hermite collocation methods for second-order elliptic partial differential equations. Zbl 0817.65092
Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R.
1994
Nonparametric estimation of a periodic function. Zbl 0956.62031
Hall, Peter; Reimann, James; Rice, John
2000
On the conditioning of polynomial and rational forms. Zbl 0139.10101
Rice, John R.
1965
On the degree of convergence of nonlinear spline approximation. Zbl 0266.41012
Rice, John R.
1969
Collocation software for second-order elliptic partial differential equations. Zbl 0584.65075
Houstis, E. N.; Mitchell, W. F.; Rice, J. R.
1985
Approximation with convex constraints. Zbl 0116.04501
Rice, J. R.
1963
Systematic search in high dimensional sets. Zbl 0359.68044
Aird, Thomas J.; Rice, John R.
1977
An adaptive algorithm for multivariate approximation giving optimal convergence rates. Zbl 0411.41008
De Boor, Carl; Rice, John R.
1979
Tensor product analysis of alternating direction implicit methods. Zbl 0137.33303
Lynch, R. E.; Rice, J. R.; Thomas, D. H.
1965
The degree of convergence for entire functions. Zbl 0219.30024
Rice, J. R.
1971
The performance of the collocation and Galerkin methods with Hermite bi- cubics. Zbl 0562.65082
Dyksen, W. R.; Houstis, E. N.; Lynch, R. E.; Rice, J. R.
1984
Analysis of a nonoverlapping domain decomposition method for elliptic partial differential equations. Zbl 0903.65090
Rice, J. R.; Vavalis, E. A.; Yang, Daoqi
1997
Tchebycheff approximation in several variables. Zbl 0144.05802
Rice, J. R.
1963
The Lawson algorithm and extensions. Zbl 0155.21902
Rice, J. R.; Usow, K. H.
1968
PYTHIA: A knowledge-based system to select scientific algorithms. Zbl 0884.65123
Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John R.; Joshi, Anupam; Houstis, Catherine E.
1996
A population of linear, second order, elliptic partial differential equations on rectangular domains. I. Zbl 0475.65069
Rice, John R.; Houstis, Elias N.; Dyksen, Wayne R.
1981
Chebyshev approximation by a $$\Pi(x-r_ i)/(x+s_ i)$$ and application to ADI iteration. Zbl 0116.04503
de Boor, C.; Rice, J. R.
1963
On the iterative solution of Hermite collocation equations. Zbl 0821.65069
Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R.
1995
Parallel ELLPACK: A development and problem solving environment for high performance computing machines. (With discussion). Zbl 0793.68071
Houstis, E. N.; Rice, J. R.
1992
Analysis of iterative line spline collocation methods for elliptic partial differential equations. Zbl 0947.65122
Hadjidimos, A.; Houstis, E. N.; Rice, J. R.; Vavalis, E.
1999
The Hodie method and its performance for solving elliptic partial differential equations. Zbl 0456.65060
Lynch, Robert E.; Rice, John R.
1978
Development, evaluation and selection of methods for elliptic partial differential equations. Zbl 0302.65075
Houstis, E. N.; Lynch, R. E.; Papatheodorou, T. S.; Rice, J. R.
1975
On grid refinement at point singularities for $$h-p$$ methods. Zbl 0761.65088
Chen, A. T.; Rice, J. R.
1992
Agent based scientific simulation and modeling. Zbl 1120.68456
Bölöni, L.; Marinescu, D. C.; Rice, J. R.; Tsompanopoulou, P.; Vavalis, E. A.
2000
Iterative line cubic spline collocation methods for elliptic partial differential equations in several dimensions. Zbl 0776.65063
Hadjidimos, A.; Houstis, E. N.; Rice, J. R.; Vavalis, E. A.
1993
Fine tuning interface relaxation methods for elliptic differential equations. Zbl 1017.65098
Rice, J. R.; Tsompanopoulou, P.; Vavalis, E.
2002
On nonlinear $$L_ 1$$ approximation. Zbl 0131.06302
Rice, John R.
1964
On the existence and characterization of best nonlinear Tchebycheff approximations. Zbl 0146.08401
Rice, J. R.
1964
Matrix representation of nonlinear equation iterations - Application to parallel computation. Zbl 0233.65032
Rice, John R.
1971
An analysis of cell membrane noise. Zbl 0405.92004
Bevan, Stuart; Kullberg, Richard; Rice, John
1979
Collaborating PDE solvers. Zbl 0767.65086
McFaddin, H. S.; Rice, J. R.
1992
GAUSS: an online algorithm selection system for numerical quadrature. Zbl 1003.68581
Ramakrishnan, Naren; Rice, John R.; Houstis, Elias N.
2002
Future problem solving environments for computational science. Zbl 0972.68146
Houstis, Elias N.; Rice, John R.
2000
Modeling nucleotide evolution: A heterogeneous rate analysis. Zbl 0845.92017
Kelly, Colleen; Rice, John
1996
Multi-parameterized Schwarz alternating methods for elliptic boundary value problems. Zbl 1080.65546
Kim, S.-B.; Hadjidimos, A.; Houstis, E. N.; Rice, J. R.
1996
Rice, John R.
1976
Enabling technologies for computational science. Frameworks, middleware and environments. Zbl 0943.00027
2000
On the computation of $$L_ 1$$ approximations by exponentials, rationals, and other functions. Zbl 0121.11601
Rice, John R.
1964
Chebyshev approximation by $$ab^ x+c$$. Zbl 0103.28901
Rice, John R.
1961
PYTHIA-II: a knowledge/database system for managing performance data and recommending scientific software. Zbl 1063.68664
Houstis, Elias N.; Catlin, Ann C.; Rice, John R.; Verykios, Vassilios S.; Ramakrishnan, Naren; Houstis, Catherine E.
2000
PELLPACK: A problem-solving environment for PDE-based applications on multicomputer platforms. Zbl 0917.65097
Houstis, E. N.; Rice, J. R.; Weerawarana, S.; Catlin, A. C.; Papachiou, P.; Wang, K.-Y.; Gaitatzes, M.
1998
Numerical methods, software, and analysis. 2. ed. Zbl 0782.65004
Rice, John R.
1993
High order methods for elliptic partial differential equations with singularities. Zbl 0484.65065
Houstis, Elias N.; Rice, John R.
1982
The importance of scaling for the Hermite bicubic collocation equations. Zbl 0602.65015
Dyksen, Wayne R.; Rice, John R.
1986
An experimental performance analysis for the rate of convergence of collocation on general domains. Zbl 0667.65092
Mu, Mo; Rice, John R.
1989
Performance of scientific software. Zbl 0683.65098
Houstis, E. N.; Rice, J. R.; Christara, C. C.; Vavalis, E. A.
1988
Modeling with collaborating PDE solvers: Theory and practice. Zbl 0817.65125
Mu, Mo; Rice, John R.
1994
On the cohomology ring of hyperplane complements. Zbl 0746.58010
Jozsa, Richard; Rice, John
1991
A grid-based subtree-subcube assignment strategy for solving partial differential equations on hypercubes. Zbl 0757.65121
Mu, Mo; Rice, J. R.
1992
RELAX: A software platform for PDE interface relaxation methods. Zbl 0771.65086
1992
ELLPACK: A research tool for elliptic partial differential equations software. Zbl 0407.68038
Rice, John R.
1977
An approximation to the multivariate normal integral: Its application to multifactorial qualitative traits. Zbl 0411.62079
Rice, J.; Reich, T.; Cloninger, C. R.; Wette, R.
1979
GasTurbnLab: A multidisciplinary problem solving environment for gas turbine engine design on a network of nonhomogeneous machines. Zbl 1011.68164
Houstis, E. N.; Catlin, A. C.; Tsompanopoulou, P.; Gottfried, D.; Balakrishnan, G.; Su, K.; Rice, J. R.
2002
Modeling the survival of chinook salmon smolts outmigrating through the lower Sacramento river system. Zbl 1073.62596
Newman, Ken B.; Rice, John
2002
ELLPACK: Progress and plans. Zbl 0467.65043
Rice, John R.
1981
Tensor products and commutative matrices. Zbl 0156.26802
de Boor, C.; Rice, J. R.
1964
Convergence rates of ADI methods with smooth initial error. Zbl 0252.65080
Lynch, Robert E.; Rice, John R.
1968
On the convergence of an algorithm for best Tchebycheff approximations. Zbl 0089.04204
Rice, J. R.
1959
The performance of numerical methods for elliptic problems with mixed boundary conditions. Zbl 0669.65082
Dyksen, Wayne R.; Ribbens, Calvin J.; Rice, John R.
1988
Performance analysis of 13 methods to solve the Galerkin method equations. Zbl 0515.65081
Rice, John R.
1983
Multivariate piecewise polynomial approximation. Zbl 0415.41004
Rice, John R.
1978
A geometric realisation of the Lepowsky Bernstein Gelfand Gelfand resolution. Zbl 0745.22011
Murray, Michael; Rice, John
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
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
1988
On high level characterization of parallelism. Zbl 0807.68014
Marinescu, Dan C.; Rice, John R.
1994
Workshop on scientific knowledge, information and computing. Zbl 0985.68726
Bramley, Randall; Char, Bruce; Gannon, Dennis; Hewett, Thomas T.; Johnson, Chris; Rice, John R.
2000
PPK: Towards a kernel for building PSES. Zbl 0972.68804
Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John R.; Catlin, Ann Christine; Gaitatzes, Margaret; Crabill, Cheryl; Markus, Shahani; Drashansky, Tzvetan
2000
SoftLab: A virtual laboratory framework for computational science. Zbl 0972.68807
Catlin, Ann Christine; Gaitatzes, Margaret; Houstis, Elias; Ma, Zidu; Markus, Shahani; Rice, John R.; Wang, Nien-Hwa; Weerawarana, Sanjiva
2000
Domain decomposer: A software tool for mapping PDE computations to parallel architectures. Zbl 0766.65101
Chrisochoides, N. P.; Houstis, C. E.; Houstis, E. N.; Papachiou, P. N.; Kortesis, S. K.; Rice, J. R.
1991
Fine tuning interface relaxation methods for elliptic differential equations. Zbl 1017.65098
Rice, J. R.; Tsompanopoulou, P.; Vavalis, E.
2002
GAUSS: an online algorithm selection system for numerical quadrature. Zbl 1003.68581
Ramakrishnan, Naren; Rice, John R.; Houstis, Elias N.
2002
GasTurbnLab: A multidisciplinary problem solving environment for gas turbine engine design on a network of nonhomogeneous machines. Zbl 1011.68164
Houstis, E. N.; Catlin, A. C.; Tsompanopoulou, P.; Gottfried, D.; Balakrishnan, G.; Su, K.; Rice, J. R.
2002
Modeling the survival of chinook salmon smolts outmigrating through the lower Sacramento river system. Zbl 1073.62596
Newman, Ken B.; Rice, John
2002
MyPYTHIA: a recommendation portal for scientific software and services. Zbl 1007.68617
Houstis, E. N.; Catlin, A. C.; Dhanjani, N.; Rice, J. R.; Ramakrishnan, N.; Verykios, V.
2002
Interface relaxation methods for elliptic differential equations. Zbl 0942.65138
Rice, J. R.; Tsompanopoulou, P.; Vavalis, E.
2000
Nonparametric estimation of a periodic function. Zbl 0956.62031
Hall, Peter; Reimann, James; Rice, John
2000
Agent based scientific simulation and modeling. Zbl 1120.68456
Bölöni, L.; Marinescu, D. C.; Rice, J. R.; Tsompanopoulou, P.; Vavalis, E. A.
2000
Future problem solving environments for computational science. Zbl 0972.68146
Houstis, Elias N.; Rice, John R.
2000
Enabling technologies for computational science. Frameworks, middleware and environments. Zbl 0943.00027
2000
PYTHIA-II: a knowledge/database system for managing performance data and recommending scientific software. Zbl 1063.68664
Houstis, Elias N.; Catlin, Ann C.; Rice, John R.; Verykios, Vassilios S.; Ramakrishnan, Naren; Houstis, Catherine E.
2000
Workshop on scientific knowledge, information and computing. Zbl 0985.68726
Bramley, Randall; Char, Bruce; Gannon, Dennis; Hewett, Thomas T.; Johnson, Chris; Rice, John R.
2000
PPK: Towards a kernel for building PSES. Zbl 0972.68804
Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John R.; Catlin, Ann Christine; Gaitatzes, Margaret; Crabill, Cheryl; Markus, Shahani; Drashansky, Tzvetan
2000
SoftLab: A virtual laboratory framework for computational science. Zbl 0972.68807
Catlin, Ann Christine; Gaitatzes, Margaret; Houstis, Elias; Ma, Zidu; Markus, Shahani; Rice, John R.; Wang, Nien-Hwa; Weerawarana, Sanjiva
2000
Analysis of iterative line spline collocation methods for elliptic partial differential equations. Zbl 0947.65122
Hadjidimos, A.; Houstis, E. N.; Rice, J. R.; Vavalis, E.
1999
PELLPACK: A problem-solving environment for PDE-based applications on multicomputer platforms. Zbl 0917.65097
Houstis, E. N.; Rice, J. R.; Weerawarana, S.; Catlin, A. C.; Papachiou, P.; Wang, K.-Y.; Gaitatzes, M.
1998
Analysis of a nonoverlapping domain decomposition method for elliptic partial differential equations. Zbl 0903.65090
Rice, J. R.; Vavalis, E. A.; Yang, Daoqi
1997
Multi-agent simulation of complex heterogeneous models in scientific computing. Zbl 1017.68548
Joshi, Anupam; Drashansky, Tzvetan; Rice, John; Weerawarana, Sanjiva; Houstis, Elias
1997
What is an answer? An essay on the theory of functions. Zbl 0881.68063
Rice, John R.
1997
PYTHIA: A knowledge-based system to select scientific algorithms. Zbl 0884.65123
Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John R.; Joshi, Anupam; Houstis, Catherine E.
1996
Modeling nucleotide evolution: A heterogeneous rate analysis. Zbl 0845.92017
Kelly, Colleen; Rice, John
1996
Multi-parameterized Schwarz alternating methods for elliptic boundary value problems. Zbl 1080.65546
Kim, S.-B.; Hadjidimos, A.; Houstis, E. N.; Rice, J. R.
1996
On the iterative solution of Hermite collocation equations. Zbl 0821.65069
Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R.
1995
General interior Hermite collocation methods for second-order elliptic partial differential equations. Zbl 0817.65092
Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R.
1994
Modeling with collaborating PDE solvers: Theory and practice. Zbl 0817.65125
Mu, Mo; Rice, John R.
1994
On high level characterization of parallelism. Zbl 0807.68014
Marinescu, Dan C.; Rice, John R.
1994
Iterative line cubic spline collocation methods for elliptic partial differential equations in several dimensions. Zbl 0776.65063
Hadjidimos, A.; Houstis, E. N.; Rice, J. R.; Vavalis, E. A.
1993
Numerical methods, software, and analysis. 2. ed. Zbl 0782.65004
Rice, John R.
1993
Parallel ELLPACK: A development and problem solving environment for high performance computing machines. (With discussion). Zbl 0793.68071
Houstis, E. N.; Rice, J. R.
1992
On grid refinement at point singularities for $$h-p$$ methods. Zbl 0761.65088
Chen, A. T.; Rice, J. R.
1992
Collaborating PDE solvers. Zbl 0767.65086
McFaddin, H. S.; Rice, J. R.
1992
A grid-based subtree-subcube assignment strategy for solving partial differential equations on hypercubes. Zbl 0757.65121
Mu, Mo; Rice, J. R.
1992
RELAX: A software platform for PDE interface relaxation methods. Zbl 0771.65086
1992
A geometric realisation of the Lepowsky Bernstein Gelfand Gelfand resolution. Zbl 0745.22011
Murray, Michael; Rice, John
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
1992
On the cohomology ring of hyperplane complements. Zbl 0746.58010
Jozsa, Richard; Rice, John
1991
Domain decomposer: A software tool for mapping PDE computations to parallel architectures. Zbl 0766.65101
Chrisochoides, N. P.; Houstis, C. E.; Houstis, E. N.; Papachiou, P. N.; Kortesis, S. K.; Rice, J. R.
1991
An experimental performance analysis for the rate of convergence of collocation on general domains. Zbl 0667.65092
Mu, Mo; Rice, John R.
1989
Quadratic-spline collocation methods for two-point boundary value problems. Zbl 0654.65057
Houstis, E. N.; Christara, C. C.; Rice, J. R.
1988
Convergence of O(h 4) cubic spline collocation methods for elliptic partial differential equations. Zbl 0637.65113
Houstis, E. N.; Vavalis, E. A.; Rice, J. R.
1988
Performance of scientific software. Zbl 0683.65098
Houstis, E. N.; Rice, J. R.; Christara, C. C.; Vavalis, E. A.
1988
The performance of numerical methods for elliptic problems with mixed boundary conditions. Zbl 0669.65082
Dyksen, Wayne R.; Ribbens, Calvin J.; Rice, John R.
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
1988
Convergence rates for partially splined models. Zbl 0628.62077
Rice, John
1986
The importance of scaling for the Hermite bicubic collocation equations. Zbl 0602.65015
Dyksen, Wayne R.; Rice, John R.
1986
Solving elliptic problems using ELLPACK. Zbl 0562.65064
Rice, John R.; Boisvert, Ronald F.
1985
Collocation software for second-order elliptic partial differential equations. Zbl 0584.65075
Houstis, E. N.; Mitchell, W. F.; Rice, J. R.
1985
Symmetric versus nonsymmetric differencing. Zbl 0562.65070
Dyksen, Wayne R.; Rice, John R.
1985
Bandwidth choice for nonparametric regression. Zbl 0554.62035
Rice, John
1984
Boundary modification for kernel regression. Zbl 0552.62022
Rice, John
1984
The performance of the collocation and Galerkin methods with Hermite bi- cubics. Zbl 0562.65082
Dyksen, W. R.; Houstis, E. N.; Lynch, R. E.; Rice, J. R.
1984
Numerical computation with general two-dimensional domains. Zbl 0548.65002
Rice, John R.
1984
A new ordering scheme for the Hermite bicubic collocation equations. Zbl 0575.65115
Dyksen, Wayne R.; Rice, John R.
1984
Performance analysis of 13 methods to solve the Galerkin method equations. Zbl 0515.65081
Rice, John R.
1983
Extremal polynomials with application to Richardson iteration for indefinite linear systems. Zbl 0476.65021
De Boor, Carl; Rice, John R.
1982
High order methods for elliptic partial differential equations with singularities. Zbl 0484.65065
Houstis, Elias N.; Rice, John R.
1982
An approach to peak area estimation. Zbl 0492.62089
Rice, John
1982
Matrix computations and mathematical software. Zbl 0459.65008
Rice, John R.
1981
A population of linear, second order, elliptic partial differential equations on rectangular domains. I. Zbl 0475.65069
Rice, John R.; Houstis, Elias N.; Dyksen, Wayne R.
1981
ELLPACK: Progress and plans. Zbl 0467.65043
Rice, John R.
1981
A high-order difference method for differential equations. Zbl 0424.65037
Lynch, Robert E.; Rice, John R.
1980
On the estimation of the parameters of a power spectrum. Zbl 0415.62071
Rice, John
1979
An adaptive algorithm for multivariate approximation giving optimal convergence rates. Zbl 0411.41008
De Boor, Carl; Rice, John R.
1979
An analysis of cell membrane noise. Zbl 0405.92004
Bevan, Stuart; Kullberg, Richard; Rice, John
1979
An approximation to the multivariate normal integral: Its application to multifactorial qualitative traits. Zbl 0411.62079
Rice, J.; Reich, T.; Cloninger, C. R.; Wette, R.
1979
Lemme, James M.; Rice, John R.
1979
High accuracy finite difference approximation to solutions of elliptic partial differential equations. Zbl 0377.65045
Lynch, Robert E.; Rice, John R.
1978
Evaluation of numerical methods for elliptic partial differential equations. Zbl 0381.65059
Houstis, E. N.; Lynch, R. E.; Rice, J. R.; Papatheodorou, T. S.
1978
The Hodie method and its performance for solving elliptic partial differential equations. Zbl 0456.65060
Lynch, Robert E.; Rice, John R.
1978
Multivariate piecewise polynomial approximation. Zbl 0415.41004
Rice, John R.
1978
On generalized shot noise. Zbl 0379.60052
Rice, John
1977
Systematic search in high dimensional sets. Zbl 0359.68044
Aird, Thomas J.; Rice, John R.
1977
ELLPACK: A research tool for elliptic partial differential equations software. Zbl 0407.68038
Rice, John R.
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
1977
Rice, John R.
1976
Rice, John R.
1976
Rice, John R.
1975
Development, evaluation and selection of methods for elliptic partial differential equations. Zbl 0302.65075
Houstis, E. N.; Lynch, R. E.; Papatheodorou, T. S.; Rice, J. R.
1975
Rice, John R.
1974
The degree of convergence for entire functions. Zbl 0219.30024
Rice, J. R.
1971
Matrix representation of nonlinear equation iterations - Application to parallel computation. Zbl 0233.65032
Rice, John R.
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
1971
Running orthogonalization. Zbl 0243.65002
Rice, John R.
1971
A characterization of entire functions in terms of degree of convergence. Zbl 0189.08401
Rice, John R.
1970
General purpose curve fitting. Zbl 0215.55203
Rice, J. R.
1970
The approximation of functions. Vol. 2: Nonlinear and multivariate theory. Zbl 0185.30601
Rice, John R.
1969
On the degree of convergence of nonlinear spline approximation. Zbl 0266.41012
Rice, John R.
1969
Approximation des fonctions. Théorie linéaire. Zbl 0176.34501
Rice, J. R.
1969
Computer approximations. Zbl 0174.20402
Hart, John F.; Cheney, E. W.; Lawson, Charles L.; Maehly, Hans J.; Mesztenyi, Charles K.; Rice, John R.; Thacher, Henry G. jun.; Witzgall, Christoph
1968
The Lawson algorithm and extensions. Zbl 0155.21902
Rice, J. R.; Usow, K. H.
1968
Convergence rates of ADI methods with smooth initial error. Zbl 0252.65080
Lynch, Robert E.; Rice, John R.
1968
On the construction of polyalgorithms for automatic numerical analysis. Zbl 0205.18901
Rice, John R.
1968
Approximation from a curve of functions. Zbl 0187.32602
Hobby, C. R.; Rice, John R.
1967
Characterization of Chebyshev approximations by splines. Zbl 0187.32902
Rice, J. R.
1967
Nonlinear approximation. II: Curvature in Minkowski geometry and local uniqueness. Zbl 0177.40703
Rice, John R.
1967
A theory of condition. Zbl 0143.37101
Rice, John R.
1966
Experiments on Gram-Schmidt orthogonalization. Zbl 0228.65034
Rice, John R.
1966
A moment problem in $$L_ 1$$ approximation. Zbl 0142.09802
Hobby, Charles R.; Rice, John R.
1965
On the conditioning of polynomial and rational forms. Zbl 0139.10101
Rice, John R.
1965
Tensor product analysis of alternating direction implicit methods. Zbl 0137.33303
Lynch, R. E.; Rice, J. R.; Thomas, D. H.
1965
...and 23 more Documents
all top 5

### Cited by 1,233 Authors

 41 Dunham, Charles B. 27 Rice, John R. 17 Wei, Yimin 15 Diao, Huaian 13 Braess, Dietrich 12 Loeb, Henry L. 11 Barrar, Richard B. 11 Houstis, Elias N. 10 Huang, Hung-Tsai 10 Li, Zi-Cai 9 Bialecki, Bernard 9 Li, Hanyu 9 Lynch, Robert E. 9 Nürnberger, Günther 9 Sandu, Adrian 9 Shen, Jie 9 Wang, Shaoxin 7 Fairweather, Graeme 7 Hadjidimos, Apostolos 7 Sangalli, Giancarlo 7 Sukhorukova, Nadezda 7 Tani, Mattia 7 Vavalis, Emmanuel A. 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 Yang, Hu 5 Christara, Christina C. 5 Dyksen, Wayne R. 5 Farouki, Rida T. 5 Karageorghis, Andreas 5 Kroó, András 5 Montardini, Monica 5 Tsompanopoulou, P. 5 Ugon, Julien 5 Wolfe, Jerry M. 4 Dubois, Didier 4 Fischer, Paul F. 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 Ribbens, Calvin J. 4 Roberts, Steven P. 4 Samar, Mahvish 4 Saridakis, Yiannis G. 4 Sarshar, Arash 4 Smith-Miles, Kate A. 4 Taylor, Gerald D. 4 Wang, Yan 4 Watson, G. Alistair 4 Xu, Shufang 4 Young, David M. jun. 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 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 Gálvez, Akemi 3 Gratton, Serge 3 Gu, Xian-Ming 3 Hayotov, Abdullo Rakhmonovich 3 Hofreither, Clemens 3 Huismann, Immo 3 Huotari, Robert 3 Iglesias, Andrés 3 Jetter, Kurt 3 Joslin, Ronald D. 3 Kammler, David W. 3 Kaufman, Edwin H. jun. 3 Kim, Hyunmin 3 Kronbichler, Martin 3 Labrosse, Gérard 3 Laratta, A. 3 Li, Jing 3 Lu, Tzontzer ...and 1,133 more Authors
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### Cited in 202 Serials

 99 Journal of Approximation Theory 71 Journal of Computational and Applied Mathematics 45 Numerische Mathematik 40 Journal of Computational Physics 40 Applied Mathematics and Computation 39 Linear Algebra and its Applications 28 Mathematics of Computation 24 Computing 20 Applied Numerical Mathematics 20 Journal of Scientific Computing 18 Journal of Mathematical Analysis and Applications 18 International Journal of Computer Mathematics 17 Computers & Mathematics with Applications 17 Mathematics and Computers in Simulation 16 BIT 15 Numerical Algorithms 14 Numerical Functional Analysis and Optimization 14 SIAM Journal on Scientific Computing 13 Numerical Methods for Partial Differential Equations 11 Transactions of the American Mathematical Society 11 European Journal of Operational Research 10 Computers and Fluids 10 Computer Methods in Applied Mechanics and Engineering 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. Nordisk Tidskrift for Informationsbehandling 7 Journal of the Franklin Institute 7 Physics of Fluids 6 International Journal of Control 6 Journal of Integral Equations and Applications 6 Applied Mathematical Modelling 5 International Journal of Systems Science 5 Linear and Multilinear Algebra 5 Mathematical Notes 5 Mathematical and Computer Modelling 5 Mathematical Problems in Engineering 5 Journal of Applied Mathematics and Computing 4 Analysis Mathematica 4 Archive for Rational Mechanics and Analysis 4 Israel Journal of Mathematics 4 Journal d’Analyse Mathématique 4 Journal of Fluid Mechanics 4 Siberian Mathematical Journal 4 Computer Aided Geometric Design 4 Optimization 4 Communications in Applied Numerical Methods 4 SIAM Journal on Matrix Analysis and Applications 4 Communications in Statistics. Simulation and Computation 4 Journal of Statistical Computation and Simulation 4 Journal of Mathematical Sciences (New York) 4 Advances in Computational Mathematics 4 Bulletin of the American Mathematical Society 3 Applicable Analysis 3 Computer Physics Communications 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Advances in Mathematics 3 Journal of Complexity 3 Computers & Operations Research 3 Japan Journal of Industrial and Applied Mathematics 3 SIAM Journal on Optimization 3 Numerical Linear Algebra with Applications 2 Biological Cybernetics 2 Discrete Applied Mathematics 2 International Journal for Numerical Methods in Fluids 2 Periodica Mathematica Hungarica 2 Ukrainian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. 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 Statistics & Probability Letters 2 SIAM Journal on Algebraic and Discrete Methods 2 Algorithmica 2 Discrete & Computational Geometry 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 Computational and Applied Mathematics 2 ELA. The Electronic Journal of Linear Algebra 2 Journal of Mathematical Chemistry 2 Abstract and Applied Analysis 2 Optimization Methods & Software 2 Archives of Computational Methods in Engineering 2 Concurrency and Computation: Practice & Experience 2 Journal of Numerical Mathematics 2 Central European Journal of Mathematics ...and 102 more Serials
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### Cited in 52 Fields

 589 Numerical analysis (65-XX) 271 Approximations and expansions (41-XX) 149 Partial differential equations (35-XX) 106 Linear and multilinear algebra; matrix theory (15-XX) 71 Fluid mechanics (76-XX) 55 Operations research, mathematical programming (90-XX) 45 Computer science (68-XX) 43 Statistics (62-XX) 34 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) 13 Real functions (26-XX) 13 Operator theory (47-XX) 12 Combinatorics (05-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Probability theory and stochastic processes (60-XX) 11 Information and communication theory, circuits (94-XX) 10 Convex and discrete geometry (52-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Optics, electromagnetic theory (78-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Biology and other natural sciences (92-XX) 7 Functional analysis (46-XX) 6 Algebraic topology (55-XX) 5 Mathematical logic and foundations (03-XX) 5 Geophysics (86-XX) 4 Measure and integration (28-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 4 General topology (54-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Sequences, series, summability (40-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-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 Algebraic geometry (14-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)

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