John R. Rice

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All published works

Action	Title	Year	Authors
+	A Brief History of the Statistics Department of the University of California at Berkeley	2012	Terence P. Speed Jim Pitman John R. Rice
+	Approximation of functions	2006	John R. Rice
+	GasTurbnLab Simulation of Instability in a Gas Turbine	2000	Ann C. Catlin Sanford Fleeter Elias N. Houstis John R. Rice Cheng Zhou
+	MOL: Method of Lines Application	2000	John R. Rice Mikel Luján
+	Simulation of Instability Onset in a Gas Turbine	2000	Sanford Fleeter Elias N. Houstis John R. Rice Cheng Zhou
+	GasTurbnLab PSE DESIGN	1999	Sanford Fleeter Elias N. Houstis John R. Rice Chem Zhou
+	Rejoinder	1998	Babette Brumback John R. Rice
+	Automated Estimation of Relaxation for Interface Relaxation	1998	John R. Rice P. Tsompanopoulou E. A. Vavalis
+	Scientific Computing via the World Wide Web: The Net//ELLPACK PSE Server	1997	Shahani Markus Sanjiva Weerawarana Elias N. Houstis John R. Rice
+	High Performance Computing Methods and Systems for Partial Differential Equations.	1995	John R. Rice
+ PDF Chat	Modeling with collaborating PDE solvers—Theory and practice	1995	Mo Mu John R. Rice
+	On the Iterative Solution of Hermite Collocation Equations	1995	Yu‐Ling Lai A. Hadjidimos Elias N. Houstis John R. Rice
+	WWW//PDEPACK A Web Based Problem Solving Environment for Partial Differential Equations	1995	Wayne R. Dyksen Elias N. Houstis John R. Rice
+ PDF Chat	General interior Hermite collocation methods for second-order elliptic partial differential equations	1994	Yu‐Ling Lai A. Hadjidimos Elias N. Houstis John R. Rice
+	Recognition in Science and Engineering	1994	John R. Rice
+	An organization of sparse gauss elimination for solving partial differntial equations on distributed memory machines	1993	Mo Mu John R. Rice
+	ORDINARY DIFFERENTIAL EQUATIONS	1993	John R. Rice
+	Collaborating PDE Solvers with Interface Relaxation	1993	Mo Mu John R. Rice
+	Convergence Analysis of a Non-Overlapping Domain Decomposition Method for Elliptic PDEs	1993	John R. Rice E. A. Vavalis D. Yang
+	MATRICES AND LINEAR EQUATIONS	1993	John R. Rice
+	APPROXIMATION OF FUNCTIONS AND DATA	1993	John R. Rice
+	NONLINEAR EQUATIONS	1993	John R. Rice
+	PARTIAL DIFFERENTIAL EQUATIONS	1993	John R. Rice
+	MODELS AND FORMULAS FOR NUMERICAL COMPUTATION	1993	John R. Rice
+	DIFFERENTIATION AND INTEGRATION	1993	John R. Rice
+	The Architecture of PDE Solving Systems	1992	Elias N. Houstis John R. Rice
+	Performance of Iterative Methods for Distributed Memory Processors	1992	Dan C. Marintescu John R. Rice E. Vavallis
+	A PDE Sparse Solver Benchmark for Massively Parallel Distributed Memory Multiprocessors	1992	Mo Mu John R. Rice
+	Multi-Parameterized Schwarz Splittings	1992	Sang-Bae Elias N. Houstis A. Hadjidimos John R. Rice
+	Parallel Iterative Methods	1992	N. P. Christochoides Elias N. Houstis S. B. Kim M. K. Samartzis John R. Rice
+ PDF Chat	On the Cohomology Ring of Hyperplane Complements	1991	Richard Jozsa John R. Rice
+	RELAX: A Software Platform for PDE Interface Relaxation Methods	1991	S. McFaddin John R. Rice
+	On the Iterative Solution of Line Spline Collocation Schemes for Elliptic PDEs	1991	A. Hadjidimos Elias N. Houstis John R. Rice E. A. Vavalis
+	Mathematical software and ACM publications	1990	John R. Rice
+ PDF Chat	Nonparametric Regression Analysis of Longitudinal Data.	1990	John R. Rice Hans‐Georg Müller
+	An Interactive Symbolic-Numeric Interface to Parallel ELLPACK for Building General PDE Solvers	1990	Sanjiva Weerawarana Elias N. Houstis John R. Rice
+	Benchmarking of MIMD Hardware on Subdomain Splitting Elliptic PDE solvers.	1989	Elias N. Houstis John R. Rice E. A. Vavalis
+ PDF Chat	The performance of numerical methods for elliptic problems with mixed boundary conditions	1988	Wayne R. Dyksen Calvin J. Ribbens John R. Rice
+ PDF Chat	Solving elliptic problems using ELLPACK	1986	John R. Rice Ronald F. Boisvert
+	Realistic PDE Solutions for Non-Rectangular Domains	1986	Calvin J. Riobbens John R. Rice
+	Design of a Tensor Product Population of PDE Problems	1986	John R. Rice
+	Parallel Methods for PDES	1986	John R. Rice
+	Choice of Smoothing Parameter in Deconvolution Problems	1986	John R. Rice
+	Symmetric Versus Nonsymmetric Differencing	1985	Wayne R. Dyksen John R. Rice
+	Extending ELLPACK to Nonstandard Problems	1985	John R. Rice Ronald F. Boisvert
+	Parallel PDE Algorithms and Supercomputer Architecture.	1985	John R. Rice
+	Examples	1985	John R. Rice Ronald F. Boisvert
+ PDF Chat	A NEW ORDERING SCHEME FOR THE HERMITE BICUBIC COLLOCATION EQUATIONS	1984	Wayne R. Dyksen John R. Rice
+ PDF Chat	Performance analysis of 13 methods to solve the galerkin method equations	1983	John R. Rice
+ PDF Chat	High order methods for elliptic partial differential equations with singularities	1982	Elias N. Houstis John R. Rice
+	Extremal Polynomials with Application to Richardson Iteration for Indefinite Linear Systems	1982	Carl de Boor John R. Rice
+	Symmetric Versus Nonsymmetric Differencing for Self-Adjoint Elliptic Problems	1982	Wayne R. Dyksen John R. Rice
+	A Population of Linear, Second Order, Elliptic Partial Differential Equations on Rectangular Domains. Part I	1981	John R. Rice Elias N. Houstis Wayne R. Dyksen
+ PDF Chat	A population of linear, second order, elliptic partial differential equations on rectangular domains. I, II	1981	John R. Rice Elias N. Houstis Wayne R. Dyksen
+	A Population of Linear, Second Order, Elliptic Partial Differential Equations on Rectangular Domains. Part 1	1980	John R. Rice Elias N. Houstis Wayne R. Dyksen
+ PDF Chat	A High-Order Difference Method for Differential Equations	1980	R. E. Lynch John R. Rice
+	On the Effectiveness of Iteration for the Galerkin Method Equations	1980	John R. Rice
+ PDF Chat	A high-order difference method for differential equations	1980	Robert E. Lynch John R. Rice
+	An adaptive algorithm for multivariate approximation giving optimal convergence rates	1979	Carl de Boor John R. Rice
+	Adaptive Multivariate Approximation Theory and Applications	1978	John R. Rice
+	The Hodie Method and its Performance for Solving Elliptic Partial Differential Equations	1978	Robert E. Lynch John R. Rice
+	A Population of Partial Differential Equations for Evaluating Methods	1978	Elias N. Houstis John R. Rice
+	An Experimental Design for the Computational Evaluation of Elliptic Partial Differential Equations Solvers	1978	Elias N. Houstis John R. Rice
+	A Population of Partial Diffe rential Equations for Evaluating Methods	1978	Elias N. Houstis John R. Rice
+	Systematic Search in High Dimensional Sets	1977	Thomas Aird John R. Rice
+	Software for Linear Elliptic Problems on General Two Dimensional Domains	1977	Elias N. Houstis John R. Rice
+	ELLPACK: A Research Tool for Elliptic Partial Differential Equations Software	1977	John R. Rice
+ PDF Chat	Algorithmic progress in solving partial differential equations	1976	John R. Rice
+	Adaptive approximation	1976	John R. Rice
+ PDF Chat	Parallel Algorithms for Adaptive Quadrature. III. Program Correctness	1976	John R. Rice
+	Note on the Software Design for an Elliptic PDE Solver	1976	John R. Rice
+	Statistical Computing - The Vanguard of the Future of Education	1976	John R. Rice
+	ELLPACK--A Cooperative Effort for the Study of Numerical Methods for Elliptic Partial Differential Equations	1976	John R. Rice
+	The Hodie Method for Ordinary Differential Equations	1976	Robert E. Lynch John R. Rice
+	The Hodie Method: A Brief Introduction with Summary of Computational Properties	1975	Robert E. Lynch John R. Rice
+	Remarks on Piecewise Polynomial Approximation	1975	John R. Rice
+ PDF Chat	A Metalgorithm for Adaptive Quadrature	1975	John R. Rice
+ PDF Chat	Adaptive quadrature: Convergence of parallel and sequential algorithms	1974	John R. Rice
+	Linear Operators and Approximation	1974	John R. Rice P. L. Butzer J.-P. Kahane B. Sz.-Nagy
+	Algorithms for Elliptic Partial Differential Equations: Metalgorithms and Selection	1974	Elias N. Houstis Robert E. Lynch Theodore S. Papatheodorou John R. Rice
+	Parallel Algorithms for Adaptive Quadrature - Convergence	1973	John R. Rice
+	Matrix Representations of Nonlinear Equation Iterations--Application to Parallel Computation	1971	John R. Rice
+ PDF Chat	The degree of convergence for entire functions	1971	John R. Rice
+ PDF Chat	Matrix representations of nonlinear equation iterations—Application to parallel computation	1971	John R. Rice
+	THE CHALLENGE FOR MATHEMATICAL SOFTWARE	1971	John R. Rice
+	SQUARS: AN ALGORITHM FOR LEAST-SQUARES APPROXIMATION**This work was supported in part by NSF Grant GP-05850.	1971	John R. Rice
+ PDF Chat	A characterization of entire functions in terms of degree of convergence	1970	John R. Rice
+	A Set of 74 Test Functions for Nonlinear Equation Solvers	1969	John R. Rice
+	A polyalgorithm for the automatic solution of nonlinear equations	1969	John R. Rice
+	Approximation of functions, theory and numerical methods	1968	John R. Rice
+	Convergence Rates of ADI Methods with Smooth Initial Error	1968	Robert E. Lynch John R. Rice
+ PDF Chat	Convergence rates of 𝐴𝐷𝐼 methods with smooth initial error	1968	Robert E. Lynch John R. Rice
+	Nonlinear Approximation. II Curvature in Minkowski Geometry and Local Uniqueness	1967	John R. Rice
+	Approximation from a curve of functions	1967	Charles Hobby John R. Rice
+ PDF Chat	Nonlinear approximation. II. Curvature in Minkowski geometry and local uniqueness	1967	John R. Rice
+	NAPSS—a numerical analysis problem-solving system	1966	John R. Rice Saul Rosen
+ PDF Chat	Experiments on Gram-Schmidt Orthogonalization	1966	John R. Rice
+	Tensor Product Analysis of Alternating Direction Implicit Methods	1965	Robert E. Lynch John R. Rice Donald Thomas
+	On the conditioning of polynomial and rational forms	1965	John R. Rice
+	A Moment Problem in L 1 Approximation	1965	Charles Hobby John R. Rice
+ PDF Chat	A moment problem in 𝐿₁ approximation	1965	Charles Hobby John R. Rice
+	Tensor Products and Commutative Matrices	1964	Carl de Boor John R. Rice
+	Direct solution of partial difference equations by tensor product methods	1964	Robert E. Lynch John R. Rice Donald Thomas
+	On the Computation of L 1 Approximations by Exponentials, Rationals, and Other Functions	1964	John R. Rice
+	On nonlinear L1 approximation	1964	John R. Rice
+ PDF Chat	On the computation of 𝐿₁ approximations by exponentials, rationals, and other functions	1964	John R. Rice
+ PDF Chat	On the existence and characterization of best nonlinear Tchebycheff approximations	1964	John R. Rice
+ PDF Chat	On the Existence and Characterization of Best Nonlinear Tchebycheff Approximations	1964	John R. Rice
+ PDF Chat	Tchebycheff Approximation in Several Variables	1963	John R. Rice
+	Chebyshev Approximation by $a\Pi \frac{{x - r_i }}{{x + s_i }}$ and Application to ADI Iteration	1963	Carl de Boor John R. Rice
+	Chebyshev Approximation by Exponentials	1962	John R. Rice
+ PDF Chat	Tchebycheff approximation in a compact metric space	1962	John R. Rice
+	Algorithms for Chebyshev Approximation by $ab^x + c$	1961	John R. Rice
+ PDF Chat	Tchebycheff Approximations by Functions Unisolvent of Variable Degree	1961	John R. Rice
+ PDF Chat	Best approximations and interpolating functions	1961	John R. Rice
+ PDF Chat	Tchebycheff approximations by functions unisolvent of variable degree	1961	John R. Rice
+	Chebyshev Approximation by $ab^x + c$	1960	John R. Rice
+ PDF Chat	The Characterization of Best Nonlinear Tchebycheff Approximations	1960	John R. Rice
+	Split Runge-Kutta method for simultaneous equations	1960	John R. Rice
+	Criteria for the existence and equioscillation of best Tchebycheff approximations	1960	John R. Rice
+ PDF Chat	The characterization of best nonlinear Tchebycheff approximations	1960	John R. Rice

Common Coauthors

Coauthor	Papers Together
Elias N. Houstis	22
Robert E. Lynch	9
Wayne R. Dyksen	8
A. Hadjidimos	4
E. A. Vavalis	4
Mo Mu	4
Carl de Boor	4
Ronald F. Boisvert	3
Charles Hobby	3
Sanford Fleeter	3
Sanjiva Weerawarana	2
Yu‐Ling Lai	2
Cheng Zhou	2
Donald Thomas	2
Sang-Bae	1
Dan C. Marintescu	1
M. K. Samartzis	1
Ann C. Catlin	1
J.-P. Kahane	1
Richard Jozsa	1
Thomas Aird	1
R. E. Lynch	1
Theodore S. Papatheodorou	1
Shahani Markus	1
Calvin J. Ribbens	1
Saul Rosen	1
Terence P. Speed	1
P. Tsompanopoulou	1
E. Vavallis	1
Jim Pitman	1
S. McFaddin	1
Calvin J. Riobbens	1
Mikel Luján	1
S. B. Kim	1
Babette Brumback	1
P. L. Butzer	1
Chem Zhou	1
D. Yang	1
N. P. Christochoides	1
B. Sz.-Nagy	1
Hans‐Georg Müller	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Approximation by curves of a unisolvent family	1949	Th. Motzkin	11
+ PDF Chat	Solving elliptic problems using ELLPACK	1986	John R. Rice Ronald F. Boisvert	9
+ PDF Chat	Tchebycheff approximations by functions unisolvent of variable degree	1961	John R. Rice	6
+ PDF Chat	A population of linear, second order, elliptic partial differential equations on rectangular domains. I, II	1981	John R. Rice Elias N. Houstis Wayne R. Dyksen	5
+	The Hodie Method: A Brief Introduction with Summary of Computational Properties	1975	Robert E. Lynch John R. Rice	4
+ PDF Chat	The Characterization of Best Nonlinear Tchebycheff Approximations	1960	John R. Rice	4
+ PDF Chat	Tensor product analysis of partial difference equations	1964	Robert E. Lynch J. R. Rice Donald Thomas	4
+ PDF Chat	Evaluation of numerical methods for elliptic partial differential equations	1978	Elias N. Houstis Robert E. Lynch J. R. Rice Theodore S. Papatheodorou	4
+	Collocation at Gaussian Points	1973	Carl de Boor Blair Swartz	4
+	The Hodie Method and its Performance for Solving Elliptic Partial Differential Equations	1978	Robert E. Lynch John R. Rice	3
+	An Experimental Design for the Computational Evaluation of Elliptic Partial Differential Equations Solvers	1978	Elias N. Houstis John R. Rice	3
+	The Numerical Treatment of Differential Equations	1960	Lothar Collatz	3
+	Chebyshev Approximation by $a\Pi \frac{{x - r_i }}{{x + s_i }}$ and Application to ADI Iteration	1963	Carl de Boor John R. Rice	3
+	Alternating Direction Implicit Methods	1962	Garrett Birkhoff Richard S. Varga David M. Young	3
+	Tensor Product Analysis of Alternating Direction Implicit Methods	1965	Robert E. Lynch John R. Rice Donald Thomas	3
+ PDF Chat	The characterization of best nonlinear Tchebycheff approximations	1960	John R. Rice	3
+ PDF Chat	The Construction of Finite Difference Approximations to Ordinary Differential Equations	1978	Eusebius J. Doedel	3
+ PDF Chat	Parallel (‖) ELLPACK: an expert system for parallel processing of partial differential equations	1989	Elias N. Houstis J. R. Rice Theodore S. Papatheodorou	3
+	A collocation method for boundary value problems	1972	Robert D. Russell L. F. Shampine	3
+	Chebyshev Approximation by $ab^x + c$	1960	John R. Rice	3
+	On n-Parameter Families of Functions and Associated Convex Functions	1950	Leonard Tornheim	3
+	Direct solution of partial difference equations by tensor product methods	1964	Robert E. Lynch John R. Rice Donald Thomas	3
+	ELLPACK: A Research Tool for Elliptic Partial Differential Equations Software	1977	John R. Rice	3
+	The Numerical Solution of Parabolic and Elliptic Differential Equations	1955	D.W. Peaceman H.H. Rachford	2
+	Development, evaluation and selection of methods for elliptic partial differential equations	1975	Elias N. Houstis Robert E. Lynch Theodore S. Papatheodorou J. R. Rice	2
+ PDF Chat	Numerical analogs to the Schwarz alternating procedure	1965	Keith Miller	2
+ PDF Chat	POLYNOMIALS OF BEST APPROXIMATION ON AN INTERVAL	1959	J. L. Walsh T. S. Motzkin	2
+ PDF Chat	On the existence and characterization of best nonlinear Tchebycheff approximations	1964	John R. Rice	2
+	ELLPACK--A Cooperative Effort for the Study of Numerical Methods for Elliptic Partial Differential Equations	1976	John R. Rice	2
+ PDF Chat	On 𝑛-parameter families of functions and associated convex functions	1950	Leonard Tornheim	2
+	Gauss Quadrature Rules with B-Spline Weight Functions	1974	James L. Phillips Richard Hanson	2
+ PDF Chat	Modeling with collaborating PDE solvers—Theory and practice	1995	Mo Mu John R. Rice	2
+ PDF Chat	GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems	1986	Yousef Saad Martin H. Schultz	2
+ PDF Chat	Collocation software for second-order elliptic partial differential equations	1985	Elias N. Houstis William F. Mitchell J. R. Rice	2
+	On the Iterative Solution of Hermite Collocation Equations	1995	Yu‐Ling Lai A. Hadjidimos Elias N. Houstis John R. Rice	2
+ PDF Chat	Block AOR iteration for nonsymmetric matrices	1983	Theodore S. Papatheodorou	2
+ PDF Chat	Iterative methods for solving partial difference equations of elliptic type	1954	David M. Young	2
+ PDF Chat	Algorithm 543: FFT9, Fast Solution of Helmholtz-Type Partial Differential Equations [D3]	1979	Elias N. Houstis Theodore S. Papatheodorou	2
+ PDF Chat	Die Minkowskische Geometrie und die Annäherung an stetige Funktionen	1917	A. W. van der Haar	2
+	Optimum Alternating-Direction-Implicit Iteration Parameters for a Model Problem	1962	Eugene L. Wachspress	2
+	Some uniqueness problems in approximation theory	1960	T. J. Rivlin H. S. Shapiro	2
+	The use of iterative methods for solving large sparse PDE-related linear systems	1979	David R. Kincaid Roger G. Grimes David M. Young	2
+ PDF Chat	High-Order Fast Elliptic Equation Solvers	1979	Elias N. Houstis Theodore S. Papatheodorou	2
+ PDF Chat	A Metalgorithm for Adaptive Quadrature	1975	John R. Rice	2
+	An H−1-Galerkin Procedure for the Two-Point Boundary Value Problem	1974	H.H. Rachford Mary F. Wheeler	2
+	CADRE: AN ALGORITHM FOR NUMERICAL QUADRATURE	1971	Carl de Boor	2
+ PDF Chat	A comparison of global methods for linear two-point boundary value problems	1975	Robert D. Russell J. M. Varah	2
+	A Comparison of Collocation and Finite Differences for Two-Point Boundary Value Problems	1977	Robert D. Russell	2
+ PDF Chat	A NEW ORDERING SCHEME FOR THE HERMITE BICUBIC COLLOCATION EQUATIONS	1984	Wayne R. Dyksen John R. Rice	2
+	Piecewise polynomial approximation on optimal meshes	1975	H. G. Burchard Douglas F. Hale	2