# zbMATH — the first resource for mathematics

## Rice, John R.

Compute Distance To:
 Author ID: rice.john-r Published as: Rice, J.; Rice, J. R.; Rice, John; Rice, John R. Homepage: https://www.cs.purdue.edu/people/faculty/jrr/ External Links: MGP · Wikidata · dblp
 Documents Indexed: 163 Publications since 1959, including 15 Books Biographic References: 3 Publications
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#### Co-Authors

 62 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 Drashansky, Tzvetan 2 Hobby, Charles R. 2 Joshi, Anupam 2 Lai, Yu-Ling 2 Lemme, James M. 2 Papatheodorou, Theodore S. 2 Rice, John K. 2 Vichnevetsky, Robert 2 Wang, KoYang 1 Aird, Thomas J. 1 Balakrishnan, Gogul 1 Bölöni, Ladislau L. 1 Casaletto, J. J. 1 Char, Bruce W. 1 Chen, Aitao 1 Cheney, Elliott Ward jun. 1 Chrisochoides, Nikos P. 1 Crabill, Cheryl 1 Dhanjani, N. 1 Gallopoulos, Efstratios 1 Gannon, Dennis B. 1 Gottfried, D. 1 Hart, John F. 1 Hewett, Thomas T. 1 Johnson, Chris R. 1 Kim, Sun-bin 1 Kortesis, S. K. 1 Lawson, Charles L. 1 Ma, Zidu 1 Maehly, Hans J. 1 McFaddin, H. S. 1 McFaddin, Scott 1 Mesztenyi, Charles K. 1 Mitchell, William F. 1 Ribbens, Calvin J. 1 Su, Kalin 1 Thacher, Henry G. jun. 1 Usow, Karl H. 1 Wang, Nien-Hwa 1 White, John S. 1 Witzgall, Christoph J. 1 Yang, Daoqi
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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 Numerical Methods for Partial Differential Equations 3 Journal of Research of the National Bureau of Standards 2 Archive for Rational Mechanics and Analysis 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 SIAM Journal on Scientific Computing 1 Acta Informatica 1 Applicable Analysis 1 Journal of Computational Physics 1 Duke Mathematical Journal 1 International Journal of Computer & Information Sciences 1 Proceedings of the American Mathematical Society 1 Parallel Computing 1 Journal of Parallel and Distributed Computing 1 Concurrency: Practice and Experience 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 AICA. Annales de l’Association Internationale pour le Calcul Analogique et de Simulation Hybrides
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#### Fields

 77 Numerical analysis (65-XX) 48 Computer science (68-XX) 34 Partial differential equations (35-XX) 11 Approximations and expansions (41-XX) 5 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Fluid mechanics (76-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 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

126 Publications have been cited 1,831 times in 1,530 Documents Cited by Year
Bandwidth choice for nonparametric regression. Zbl 0554.62035
Rice, John
1984
The approximation of functions. Vol. 1: Linear theory. Zbl 0114.27001
Rice, John R.
1964
The approximation of functions. Vol. 2: Nonlinear and multivariate theory. Zbl 0185.30601
Rice, John R.
1969
Convergence rates for partially splined models. Zbl 0628.62077
Rice, John
1986
A theory of condition. Zbl 0143.37101
Rice, John R.
1966
Direct solution of partial difference equations by tensor product methods. Zbl 0126.12703
Lynch, Robert E.; Rice, John R.; Thomas, Donald H.
1964
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
Matrix computations and mathematical software. Zbl 0459.65008
Rice, John R.
1981
Approximation from a curve of functions. Zbl 0187.32602
Hobby, C. R.; Rice, John R.
1967
Tchebycheff approximations by functions unisolvent of variable degree. Zbl 0146.08301
Rice, J. R.
1961
Norms for smoothing and estimation. Zbl 0121.34102
Rice, John R.; White, John S.
1964
Experiments on Gram-Schmidt orthogonalization. Zbl 0228.65034
Rice, John R.
1966
On generalized shot noise. Zbl 0379.60052
Rice, John
1977
Tensor product analysis of alternating direction implicit methods. Zbl 0137.33303
Lynch, R. E.; Rice, J. R.; Thomas, D. H.
1965
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
Tschebycheff approximation in a compact metric space. Zbl 0111.26501
Rice, J. R.
1962
Split Runge-Kutta method for simultaneous equations. Zbl 0091.29202
Rice, John R.
1960
Characterization of Chebyshev approximations by splines. Zbl 0187.32902
Rice, J. R.
1967
Tensor product analysis of partial difference equations. Zbl 0126.12704
Lynch, Robert E.; Rice, John R.; Thomas, Donald H.
1964
Rice, John R.
1975
Extremal polynomials with application to Richardson iteration for indefinite linear systems. Zbl 0476.65021
De Boor, Carl; Rice, John R.
1982
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
On the degree of convergence of nonlinear spline approximation. Zbl 0266.41012
Rice, John R.
1969
A high-order difference method for differential equations. Zbl 0424.65037
Lynch, Robert E.; Rice, John R.
1980
Interface relaxation methods for elliptic differential equations. Zbl 0942.65138
Rice, J. R.; Tsompanopoulou, P.; Vavalis, E.
2000
Chebyshev approximation by exponentials. Zbl 0144.05801
Rice, J. R.
1962
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
Collocation software for second-order elliptic partial differential equations. Zbl 0584.65075
Houstis, E. N.; Mitchell, W. F.; Rice, J. R.
1985
On the conditioning of polynomial and rational forms. Zbl 0139.10101
Rice, John R.
1965
Nonparametric estimation of a periodic function. Zbl 0956.62031
Hall, Peter; Reimann, James; Rice, John
2000
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
Systematic search in high dimensional sets. Zbl 0359.68044
Aird, Thomas J.; Rice, John R.
1977
Approximation with convex constraints. Zbl 0116.04501
Rice, J. R.
1963
Analysis of a nonoverlapping domain decomposition method for elliptic partial differential equations. Zbl 0903.65090
Rice, J. R.; Vavalis, E. A.; Yang, Daoqi
1997
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
An adaptive algorithm for multivariate approximation giving optimal convergence rates. Zbl 0411.41008
De Boor, Carl; Rice, John R.
1979
The Hodie method and its performance for solving elliptic partial differential equations. Zbl 0456.65060
Lynch, Robert E.; Rice, John R.
1978
The degree of convergence for entire functions. Zbl 0219.30024
Rice, J. R.
1971
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
On the iterative solution of Hermite collocation equations. Zbl 0821.65069
Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R.
1995
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
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
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
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
Fine tuning interface relaxation methods for elliptic differential equations. Zbl 1017.65098
Rice, J. R.; Tsompanopoulou, P.; Vavalis, E.
2002
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
On grid refinement at point singularities for $$h-p$$ methods. Zbl 0761.65088
Chen, A. T.; Rice, J. R.
1992
An analysis of cell membrane noise. Zbl 0405.92004
Bevan, Stuart; Kullberg, Richard; Rice, John
1979
Matrix representation of nonlinear equation iterations - Application to parallel computation. Zbl 0233.65032
Rice, John R.
1971
On the existence and characterization of best nonlinear Tchebycheff approximations. Zbl 0146.08401
Rice, J. R.
1964
On nonlinear $$L_ 1$$ approximation. Zbl 0131.06302
Rice, John R.
1964
Tchebycheff approximation in several variables. Zbl 0144.05802
Rice, J. R.
1963
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
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
Modeling nucleotide evolution: A heterogeneous rate analysis. Zbl 0845.92017
Kelly, Colleen; Rice, John
1996
Numerical methods, software, and analysis. 2. ed. Zbl 0782.65004
Rice, John R.
1993
Collaborating PDE solvers. Zbl 0767.65086
McFaddin, H. S.; Rice, J. R.
1992
Rice, John R.
1976
On the computation of $$L_ 1$$ approximations by exponentials, rationals, and other functions. Zbl 0121.11601
Rice, John R.
1964
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
Enabling technologies for computational science. Frameworks, middleware and environments. Zbl 0943.00027
Houstis, Elias N. (ed.); Rice, John R. (ed.); Gallopoulos, Efstratios (ed.); Bramley, Randall (ed.)
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
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
The importance of scaling for the Hermite bicubic collocation equations. Zbl 0602.65015
Dyksen, Wayne R.; Rice, John R.
1986
A new ordering scheme for the Hermite bicubic collocation equations. Zbl 0575.65115
Dyksen, Wayne R.; Rice, John R.
1984
High order methods for elliptic partial differential equations with singularities. Zbl 0484.65065
Houstis, Elias N.; Rice, John R.
1982
ELLPACK: A research tool for elliptic partial differential equations software. Zbl 0407.68038
Rice, John R.
1977
Nonlinear approximation. Zbl 0154.14903
Rice, John R.
1965
Chebyshev approximation by $$ab^ x+c$$. Zbl 0103.28901
Rice, John R.
1961
Modeling the survival of chinook salmon smolts outmigrating through the lower Sacramento river system. Zbl 1073.62596
Newman, Ken B.; Rice, John
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 with collaborating PDE solvers: Theory and practice. Zbl 0817.65125
Mu, Mo; Rice, John R.
1994
RELAX: A software platform for PDE interface relaxation methods. Zbl 0771.65086
1992
A grid-based subtree-subcube assignment strategy for solving partial differential equations on hypercubes. Zbl 0757.65121
Mu, Mo; Rice, J. R.
1992
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
Numerical computation with general two-dimensional domains. Zbl 0548.65002
Rice, John R.
1984
Performance analysis of 13 methods to solve the Galerkin method equations. Zbl 0515.65081
Rice, John R.
1983
ELLPACK: Progress and plans. Zbl 0467.65043
Rice, John R.
1981
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
Multivariate piecewise polynomial approximation. Zbl 0415.41004
Rice, John R.
1978
Convergence rates of ADI methods with smooth initial error. Zbl 0252.65080
Lynch, Robert E.; Rice, John R.
1968
Tensor products and commutative matrices. Zbl 0156.26802
de Boor, C.; Rice, J. R.
1964
On the convergence of an algorithm for best Tchebycheff approximations. Zbl 0089.04204
Rice, J. R.
1959
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
A knowledge discovery methodology for the performance evaluation of scientific software. Zbl 0981.68051
Verykios, Vassilios S.; Houstis, Elias N.; Rice, John R.
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
Network based problem solving environments for partial differential equation computing. Zbl 0976.68141
Markus, Shahani; Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John
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
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
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
Modeling the survival of chinook salmon smolts outmigrating through the lower Sacramento river system. Zbl 1073.62596
Newman, Ken B.; Rice, John
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
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
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
Enabling technologies for computational science. Frameworks, middleware and environments. Zbl 0943.00027
Houstis, Elias N. (ed.); Rice, John R. (ed.); Gallopoulos, Efstratios (ed.); Bramley, Randall (ed.)
2000
A knowledge discovery methodology for the performance evaluation of scientific software. Zbl 0981.68051
Verykios, Vassilios S.; Houstis, Elias N.; Rice, John R.
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
Network based problem solving environments for partial differential equation computing. Zbl 0976.68141
Markus, Shahani; Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John
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
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
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
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
Modeling nucleotide evolution: A heterogeneous rate analysis. Zbl 0845.92017
Kelly, Colleen; Rice, John
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
RELAX: A software platform for PDE interface relaxation methods. Zbl 0771.65086
1992
A grid-based subtree-subcube assignment strategy for solving partial differential equations on hypercubes. Zbl 0757.65121
Mu, Mo; Rice, J. R.
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
Houstis, E. N. (ed.); Rice, J. R. (ed.); Vichnevetsky, R. (ed.)
1992
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
On the cohomology ring of hyperplane complements. Zbl 0746.58010
Jozsa, Richard; Rice, John
1991
Communication and control in SPMD parallel numerical computations. Zbl 0737.65118
Marinescu, Dan C.; Rice, John R.; Vavalis, Emmanuel A.
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
Rice, J. R. (ed.)
1988
Partitioning PDE computations: Methods and performance evaluation. Zbl 0626.65125
Houstis, Catherine E.; Houstis, Elias N.; Rice, John R.
1987
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
A new ordering scheme for the Hermite bicubic collocation equations. Zbl 0575.65115
Dyksen, Wayne R.; Rice, John R.
1984
Numerical computation with general two-dimensional domains. Zbl 0548.65002
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
Rice, John R. (ed.)
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
Running orthogonalization. Zbl 0243.65002
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
Rice, John R. (ed.)
1971
Minimization and techniques in nonlinear approximation. Zbl 0226.65007
Rice, John R.
1970
General purpose curve fitting. Zbl 0215.55203
Rice, J. R.
1970
A characterization of entire functions in terms of degree of convergence. Zbl 0189.08401
Rice, John 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
A theory of condition. Zbl 0143.37101
Rice, John R.
1966
Experiments on Gram-Schmidt orthogonalization. Zbl 0228.65034
Rice, John R.
1966
...and 26 more Documents
all top 5

#### Cited by 1,916 Authors

 65 Dunham, Charles B. 28 Rice, John R. 16 Wei, Yimin 15 Dette, Holger 14 Braess, Dietrich 14 Diao, Huaian 14 Loeb, Henry L. 12 Barrar, Richard B. 12 Taylor, Gerald D. 12 You, Jinhong 11 Houstis, Elias N. 11 Nürnberger, Günther 10 Huang, Hung-Tsai 10 Li, Zi-Cai 9 Bialecki, Bernard 9 Li, Hanyu 9 Lynch, Robert E. 9 Müller, Hans-Georg 9 Shen, Jie 9 Strauss, Hans 9 Wang, Shaoxin 8 Boente, Graciela 8 Chen, Gemai 8 Sandu, Adrian 8 Wolfe, Jerry M. 7 Chu, Chinku 7 Fairweather, Graeme 7 Hadjidimos, Apostolos 7 Henry, Myron S. 7 Munk, Axel 7 Neumeyer, Natalie 7 Sangalli, Giancarlo 7 Tani, Mattia 7 Tong, Tiejun 7 Vavalis, Emmanuel A. 6 Bacopoulos, Alex 6 Kincaid, David Ronald 6 Oppe, Thomas C. 6 Peherstorfer, Franz 6 Quesada, José María 6 Reichel, Lothar 6 Shi, Yingguang 6 Sommer, Manfred 6 Stiller, Jörg 6 Sun, Jiguang 6 Yang, Hu 6 Zhu, Lixing 6 Zhu, Zhongyi 5 Aneiros-Pérez, Germán 5 Bouezmarni, Taoufik 5 Cha, Ji Hwan 5 Chiu, Shean-Tsong 5 Christara, Christina C. 5 Dyksen, Wayne R. 5 Eubank, Randall L. 5 Farouki, Rida T. 5 Gao, Jiti 5 Hall, Peter Gavin 5 Karageorghis, Andreas 5 Liang, Hua 5 Marron, James Stephen 5 Montardini, Monica 5 Pinkus, Allan M. 5 Qin, Guoyou 5 Schmidt, Darrell 5 Tsompanopoulou, P. 5 Wang, Qihua 5 Young, David M. jun. 4 Abdelmalek, Nabih N. 4 Beran, Rudolf J. 4 Brown, Lawrence David 4 Dai, Wenlin 4 Deutsch, Frank 4 Dubois, Didier 4 Feng, Yuanhua 4 Finkelstein, Maxim 4 Huang, Jin 4 Huotari, Robert 4 Kaufman, Edwin H. jun. 4 Kroó, András 4 Martínez-Moreno, Juan 4 McCormick, Steve Fahrney 4 Micchelli, Charles A. 4 Milovanović, Gradimir V. 4 Navas, Juan 4 Papatheodorou, Theodore S. 4 Qiao, Sanzheng 4 Qin, Yongsong 4 Ribbens, Calvin J. 4 Saridakis, Yiannis G. 4 Schick, Anton 4 Smith-Miles, Kate A. 4 Song, Lixin 4 Sukhorukova, Nadezda 4 Swann, Howard 4 Wang, Jane-Ling 4 Watson, G. Alistair 4 Xu, Shufang 4 Zhu, Changzhong 3 Abatzoglou, Theagenis J. ...and 1,816 more Authors
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#### Cited in 249 Serials

 182 Journal of Approximation Theory 76 Journal of Computational and Applied Mathematics 46 Applied Mathematics and Computation 45 Numerische Mathematik 41 Journal of Computational Physics 41 Linear Algebra and its Applications 40 Journal of Statistical Planning and Inference 39 Communications in Statistics. Theory and Methods 36 The Annals of Statistics 33 Journal of Mathematical Analysis and Applications 28 Mathematics of Computation 27 Journal of Multivariate Analysis 27 Statistics & Probability Letters 26 Journal of Nonparametric Statistics 25 Computational Statistics and Data Analysis 24 Computing 21 Computers & Mathematics with Applications 20 Journal of Scientific Computing 18 Applied Numerical Mathematics 17 Mathematics and Computers in Simulation 17 International Journal of Computer Mathematics 16 BIT 15 Numerical Functional Analysis and Optimization 14 Journal of Econometrics 14 Numerical Algorithms 14 Communications in Statistics. Simulation and Computation 14 Journal of Statistical Computation and Simulation 13 Numerical Methods for Partial Differential Equations 13 European Journal of Operational Research 12 SIAM Journal on Scientific Computing 11 Computer Methods in Applied Mechanics and Engineering 11 Proceedings of the American Mathematical Society 11 Transactions of the American Mathematical Society 11 Statistics 10 Computers and Fluids 10 Annals of the Institute of Statistical Mathematics 10 Mathematische Zeitschrift 9 Journal of Optimization Theory and Applications 9 Aequationes Mathematicae 9 Engineering Analysis with Boundary Elements 8 International Journal for Numerical Methods in Engineering 8 BIT. Nordisk Tidskrift for Informationsbehandling 8 Electronic Journal of Statistics 7 Journal of the Franklin Institute 7 Calcolo 7 Constructive Approximation 7 Computational Statistics 7 Physics of Fluids 6 Computer Physics Communications 6 International Journal of Control 6 Mathematical and Computer Modelling 6 Journal of Integral Equations and Applications 6 Journal of Applied Statistics 5 The Canadian Journal of Statistics 5 International Journal of Systems Science 5 Mathematical Notes 5 Metrika 5 Journal of Time Series Analysis 5 Computer Aided Geometric Design 5 Applied Mathematical Modelling 5 Mathematical Problems in Engineering 4 Analysis Mathematica 4 Archive for Rational Mechanics and Analysis 4 Biological Cybernetics 4 Israel Journal of Mathematics 4 Journal d’Analyse Mathématique 4 Journal of Fluid Mechanics 4 Linear and Multilinear Algebra 4 Biometrics 4 Siberian Mathematical Journal 4 Journal of Complexity 4 Statistical Science 4 Communications in Applied Numerical Methods 4 Stochastic Processes and their Applications 4 Test 4 Journal of Mathematical Sciences (New York) 4 Bernoulli 4 Econometric Theory 4 Journal of Applied Mathematics and Computing 4 Bulletin of the American Mathematical Society 4 Nonlinear Analysis. Theory, Methods & Applications 3 Applicable Analysis 3 Discrete Applied Mathematics 3 Mathematical Biosciences 3 Scandinavian Journal of Statistics 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Automatica 3 Journal of Applied Probability 3 Kybernetika 3 Physica D 3 Acta Mathematicae Applicatae Sinica. English Series 3 Optimization 3 Computers & Operations Research 3 SIAM Journal on Matrix Analysis and Applications 3 Annals of Operations Research 3 Japan Journal of Industrial and Applied Mathematics 3 SIAM Journal on Optimization 3 Statistical Papers ...and 149 more Serials
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#### Cited in 52 Fields

 666 Numerical analysis (65-XX) 432 Statistics (62-XX) 358 Approximations and expansions (41-XX) 152 Partial differential equations (35-XX) 104 Linear and multilinear algebra; matrix theory (15-XX) 67 Fluid mechanics (76-XX) 60 Operations research, mathematical programming (90-XX) 51 Probability theory and stochastic processes (60-XX) 50 Ordinary differential equations (34-XX) 43 Computer science (68-XX) 28 Systems theory; control (93-XX) 21 Special functions (33-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Biology and other natural sciences (92-XX) 17 Functions of a complex variable (30-XX) 17 Integral equations (45-XX) 17 Mechanics of deformable solids (74-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Combinatorics (05-XX) 12 Real functions (26-XX) 11 Convex and discrete geometry (52-XX) 10 Functional analysis (46-XX) 10 Operator theory (47-XX) 9 Optics, electromagnetic theory (78-XX) 9 Information and communication theory, circuits (94-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Geophysics (86-XX) 7 Mathematical logic and foundations (03-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Algebraic topology (55-XX) 4 History and biography (01-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 4 General topology (54-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Sequences, series, summability (40-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 Commutative algebra (13-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX)

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