David M. Young Jr.

David M. Young Jr.'s AcademicInfluence.com Rankings

David M. Young Jr.

Mathematics

#2237

World Rank

#3492

Historical Rank

#893

USA Rank

Measure Theory

#1200

World Rank

#1527

Historical Rank

#435

USA Rank

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Mathematics

Why Is David M. Young Jr. Influential?

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According to Wikipedia, David M. Young Jr. was an American mathematician and computer scientist who was one of the pioneers in the field of modern numerical analysis/scientific computing. Contributions Dr. Young is best known for establishing the mathematical framework for iterative methods . These algorithms are now used in computer software on high performance supercomputers for the numerical solution of large sparse linear systems arising from problems involving partial differential equations. See, in particular, the successive over-relaxation and symmetric successive over-relaxation methods.

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David M. Young Jr.'s Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Iterative Solution of Large Linear Systems. (1971) (2728)
Iterative methods for solving partial difference equations of elliptic type (1954) (726)
Applied Iterative Methods (2004) (392)
Curriculum 68: Recommendations for academic programs in computer science: a report of the ACM curriculum committee on computer science (1968) (359)
Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods (1980) (334)
A Survey of Numerical Mathematics (1988) (258)
Algorithm 586: ITPACK 2C: A FORTRAN Package for Solving Large Sparse Linear Systems by Adaptive Accelerated Iterative Methods (1982) (165)
Alternating Direction Implicit Methods (1962) (140)
Second-degree iterative methods for the solution of large linear systems (1972) (94)
On the simplification of generalized conjugate-gradient methods for nonsymmetrizable linear systems (1983) (81)
On Richardson's Method for Solving Linear Systems with Positive Definite Matrices (1953) (80)
An undergraduate program in computer science—preliminary recommendations (1965) (76)
Analysis of the SOR iteration for the 9-point Laplacian (1988) (61)
ITPACKV 2D user's guide (1989) (52)
A historical overview of iterative methods (1989) (43)
Necessary and sufficient conditions for the simplification of generalized conjugate-gradient algorithms (1987) (42)
Convergence Properties of the Symmetric and Unsymmetric Successive Overrelaxation Methods and Related Methods (1970) (42)
Numerical Quadrature of Analytic and Harmonic Functions (1950) (40)
ON THE EQUIVALENCE OF CERTAIN ITERATIVE ACCELERATION METHODS (1980) (39)
On the accelerated SSOR method for solving large linear systems (1977) (33)
Vector computations for sparse linear systems (1986) (30)
On the Crank-Nicolson procedure for solving parabolic partial differential equations (1957) (30)
On the Determination of the Optimum Relaxation Factor for the SOR Method When the Eigenvalues of the Jacobi Method are Complex. (1970) (29)
The Modified Successive Overrelaxation Method with Fixed Parameters (1972) (24)
ORDVAC Solutions of the Dirichlet Problem (1955) (24)
On the Consistency of Linear Stationary Iterative Methods (1972) (23)
ITPACK project: Past, present, and future (1984) (23)
On the Degree of Convergence of Solutions of Difference Equations to the Solution of the Dirichlet Problem (1954) (19)
THE ITPACK PACKAGE FOR LARGE SPARSE LINEAR SYSTEMS (1981) (18)
On the accuracy of the numerical solution of the Dirichlet problem by finite differences (1953) (17)
NORMS OF THE SUCCESSIVE OVERRELAXATION METHOD AND RELATED METHODS. (1969) (17)
Iterative algorithms and software for solving large sparse linear systems (1988) (15)
A brief review of the ITPACK project (1988) (13)
An Error Bound for the Numerical Quadrature of Analytic Functions (1952) (13)
An historical review of iterative methods (1987) (12)
Vectorized iterative methods for partial differential equations (1986) (12)
Alternating Direction Methods for Solving Partial Difference Equations (1964) (12)
Solution of Linear Systems of Equations (1973) (12)
A bound for the optimum relaxation factor for the successive overrelaxation method (1971) (11)
Parallel multilevel methods (1994) (11)
A new class of parallel alternating-type iterative methods (1996) (10)
On the use of rational iterative methods for solving large sparse linear systems (1992) (10)
ADAPTING ITERATIVE ALGORITHMS DEVELOPED FOR SYMMETRIC SYSTEMS TO NONSYMMETRIC SYSTEMS11Work was supported in part by National Science Foundation Grant MCS76-03141 at The University of Texas at Austin. (1981) (10)
The use of iterative methods for solving large sparse PDE-related linear systems (1979) (10)
Generalizations of Property A and Consistent Orderings (1972) (9)
Generalizations and modifications of the GMRES iterative method (1999) (8)
Review: A. M. Ostrowski, Solution of equations and systems of equations (1962) (8)
A historical review of iterative methods (1990) (8)
Adapting ITPACK routines for use on a vector computer (1982) (8)
Preconditioned conjugate gradient algorithms and software for solving large sparse linear systems (1987) (7)
A Survey of Modern Numerical Analysis (1973) (7)
EMULSION TABLES. I. HEAVY-PARTICLE FUNCTIONS (1954) (7)
ON THE SOLUTION OF LARGE SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS WITH SPARSE, POSITIVE DEFINITE MATRICES (1973) (6)
The search for Omega (1990) (6)
Accelerating nonsymmetrizable iterative methods (1984) (6)
The search for “high-level” parallelism for iterative sparse linear system solvers (1989) (6)
Linear stationary second-degree methods for the solution of large linear systems (1990) (6)
ITPACK - Adaptive Iterative Algorithms Using Symetric Sparse Storage (1979) (6)
Effective Conformal Transformation of Smooth, Simply Connected Domains. (1951) (5)
On the effectiveness of adaptive Chebyshev acceleration for solving systems of linear equations (1988) (5)
Partial differential equations (1980) (5)
AN OVERVIEW OF MGMRES AND LAN/MGMRES METHODS FOR SOLVING NONSYMMETRIC LINEAR SYSTEMS (2000) (5)
The development of a computer package for solving a class of partial differential equations by iterative methods (1975) (4)
Lipschitz Conditions for Harmonic and Discrete Harmonic Functions (1957) (4)
On the accelerated SSOR method for solving elliptic boundary value problems (1974) (4)
Multigrid methods with application to reservoir simulation (1994) (4)
Variations of the GMRES iterative method (2003) (4)
Iterative solution of linear and nonlinear systems derived from elliptic partial differential equations (1975) (4)
ACM Curricula Recommendations for Computer Science (1983) (4)
A PRIORI METHODS FOR THE DETERMINATION OF THE OPTIMUM RELAXATION FACTOR FOR THE SUCCESSIVE OVERRELAXATION METHOD. (1970) (3)
Stationary second-degree iterative methods and recurrences (1991) (3)
ACM Recommended Curricula for Computer Science and Information Processing Programs in Colleges and Universities, 1968-1981 (1981) (3)
A Tutorial on Finite-Difference Methods and Ordering of Mesh Points (1986) (2)
A Generalized GMRES Iterative Method (2000) (2)
Background on Basic Iterative Methods (1981) (2)
ITPACK Solution Modules (1985) (2)
Multiple Coarse Grid Multigrid Methods for Solving Elliptic Problems (1996) (2)
ON THE NUMERICAL SOLUTION OF LINEAR AND NON-LINEAR PARABOLIC EQUATIONS ON THE ORDVAC (1956) (2)
Conjugate Gradient Acceleration (1981) (2)
DETERMINATION OF THE OPTIMUM RELAXATION FACTOR (1971) (2)
LINEAR STATIONARY ITERATIVE METHODS (1971) (2)
On the Use of Iterative Methods with Supercomputers for Solving Partial Differential Equations (1985) (2)
Adapting iterative algorithms for solving large sparse linear systems for efficient use on the CDC CYBER 205 (1984) (2)
GROUP ITERATIVE METHODS (1971) (1)
An Adaptive Chebyshev Procedure Using Special Norms (1981) (1)
A uniform approximation to Fourier coefficients (1953) (1)
CONVERGENCE OF THE BASIC ITERATIVE METHODS (1971) (1)
On the surveillance and control of number range and accuracy in numerical computation (1968) (1)
The search for high level parallelism for the iterative solution of large sparse linear systems (1988) (1)
Periodically generated iterative methods for solving elliptic equations (1995) (1)
SELECTION OF ITERATIVE METHOD (1971) (0)
Iterative solution and finite element analysis in computational mechanics using supercomputers. Progress report, July 1, 1981-July 31, 1984 (1984) (0)
Book Review: Scientific computing and differential equations---An introduction to numerical methods (1993) (0)
Special Methods for Red/Black Partitionings (1981) (0)
Parallel supercomputing: Advanced methods, algorithms and software for large-scale problems. Progress report, April 1991--April 1992 (1992) (0)
SEMI-ITERATIVE METHODS (1971) (0)
Chapter 17 – ALTERNATING DIRECTION IMPLICIT METHODS (1971) (0)
Commentaries of three papers of Cornelius Lanczos (1991) (0)
This paper is dedicated to Werner C. Rheinboldt. (1988) (0)
EXTENSIONS OF THE SOR THEORY: STIELTJES MATRICES (1971) (0)
CHAPTER 11 – Case Studies (1981) (0)
THE MODIFIED SOR METHOD: FIXED PARAMETERS (1971) (0)
Iterative methods for solving large systems of linear equations (1974) (0)
NONSTATIONARY LINEAR ITERATIVE METHODS (1971) (0)
A Mathematical Formulation for ORDVAC Computation of the Probability of Kill of an Airplane by a Missile (1953) (0)
Number of Tasks P=1 P=2 P=3 P=4 P=5 P=6 P=7 Natural Ordering Cray Results 8 General Conclusions \itpack 2c: a Fortran Package for Solving Large Sparse Linear Systems by Adaptive Accelerated Iterative Methods." Acm Transactions Cray Version (1989) (0)
NORMS OF THE SOR METHOD (1971) (0)
Parallel supercomputing: Advanced methods, algorithms and software for large-scale problems. Final report, August 1, 1987--July 31, 1994 (1994) (0)
A dual adaptive procedure for the automatic determination of iteration parameters for Chebyshev acceleration (1989) (0)
Adaptive Chebyshev Acceleration (1981) (0)
Parallel supercomputing: Advanced methods, algorithms, and software for large-scale linear and nonlinear problems (1993) (0)
EIGENVALUES OF THE SOR METHOD FOR CONSISTENTLY ORDERED MATRICES (1971) (0)
Research program in iterative solution and finite element analysis in computational mechanics. Annual progress report, 1983 (1983) (0)
Recent progress and advances in iterative software (including parallel aspects) (1994) (0)
Optimum Acceleration Factors for Iterative Solutions of Linear and Non-Linear Systems. (1985) (0)
THE MODIFIED SOR METHOD: VARIABLE PARAMETERS (1971) (0)
Chapter 2 – MATRIX PRELIMINARIES (1971) (0)
MGMRES: A generalization of GMRES for solving large sparse nonsymmetric linear systems (1996) (0)
Background on Linear Algebra and Related Topics (1981) (0)
Review: W. E. Milne, Numerical solution of differential equations (1953) (0)
The Use of Iterative Methods in the Solution of Partial Differential Equations (1981) (0)
On the Numerical Solution of the Hydrodynamic Equations (1961) (0)
A research program in finite element analysis and iterative solution on advanced processors (1988) (0)
Adaptive Procedures for the Successive Overrelaxation Method (1981) (0)
Parallel supercomputing: Advanced methods, algorithms and software for large-scale problems (1992) (0)
SECOND-DEGREE METHODS (1971) (0)
SYMMETRIC SOR METHOD AND RELATED METHODS (1971) (0)
Parallel supercomputing: Advanced methods, algorithms, and software for large-scale linear and nonlinear problems. Final report, August 15, 1993--February 28, 1996 (1996) (0)
The Nonsymmetrizable Case (1981) (0)
GENERALIZED CONSISTENTLY ORDERED MATRICES (1971) (0)

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