Seymour V. Parter

Engineering · Physical Sciences

29h-index2.8kcitations126works0.02yr avg
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Research Topics

Advanced Numerical Methods in Computational Mathematics(38), Differential Equations and Numerical Methods(32), Matrix Theory and Algorithms(26), Numerical methods for differential equations(23), Advanced Mathematical Modeling in Engineering(23)

Publications126 total

Oral History Interview: Seymour Parter (0668)
2004
Semicirculant Preconditioning of Elliptic Operators
SIAM Journal on Numerical Analysis·2003· 5 cited
Preconditioning Legendre Spectral Collocation Methods for Elliptic Problems I: Finite Difference Operators
SIAM Journal on Numerical Analysis·2001· 16 cited
Preconditioning Legendre Spectral Collocation Methods for Elliptic Problems II: Finite Element Operators
SIAM Journal on Numerical Analysis·2001· 12 cited
On the Legendre–Gauss–Lobatto Points and Weights
Journal of Scientific Computing·1999· 22 cited
On the Overlapping Grid Method for Elliptic Boundary Value Problems
SIAM Journal on Numerical Analysis·1999· 7 cited
First-Order System Least Squares (FOSLS) for Planar Linear Elasticity: Pure Traction Problem
SIAM Journal on Numerical Analysis·1998· 61 citedOpen Access
Preconditioning Chebyshev Spectral Collocation by Finite-Difference Operators
SIAM Journal on Numerical Analysis·1997· 37 cited
Preconditioning Chebyshev spectral methods by finite-element and finite-difference methods
OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)·1996Open Access
First-order system least squares for the pure traction problem in planar linear elasticity
1996
Preconditioning Chebyshev Spectral Collocation Method for Elliptic Partial Differential Equations
SIAM Journal on Numerical Analysis·1996· 33 cited
Preconditioning cubic spline collocation discretizations of elliptic equations
Numerische Mathematik·1995· 18 cited
On the rate of convergence of the $k \times k$ block, $k$ -line iterative methods: $k \rightarrow \infty $
Numerische Mathematik·1995· 2 cited
Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems
SIAM Journal on Numerical Analysis·1995· 39 cited
A remark on band-Toeplitz preconditions for Hermitian Toeplitz systems
OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)·1994· 1 citedOpen Access
Preconditioning and Boundary Conditions without $H_2$ Estimates: $L_2$ Condition Numbers and the Distribution of the Singular Values
SIAM Journal on Numerical Analysis·1993· 29 cited
Preconditioning Second-Order Elliptic Operators: Experiment and Theory
SIAM Journal on Scientific and Statistical Computing·1992· 14 cited
Preconditioning second-order elliptic operators: Condition numbers and the distribution of the singular values
Journal of Scientific Computing·1991· 23 cited
On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations
Advances in Applied Mathematics·1990· 72 cited
Preconditioning and Boundary Conditions
SIAM Journal on Numerical Analysis·1990· 98 cited
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Frequent Co-authors

Thomas A. Manteuffel(5), Sang Dong Kim(3), Fred W. Dorr(2), Michael Steuerwalt(2), Jan Mandel(2), Sze-Ping Wong(2), Richard A. Brualdi(1), Hans Schneider(1), Lars B. Wahlbin(1), Donald Greenspan(1), L. F. Shampine(1), Vance Faber(1), Κ. R. Rajagopal(1), Zhiqiang Cai(1), Stephen F. McCormick(1), John H. Cerutti(1), Ernest E. Rothman(1), J Youngs(1), Myron L. Stein(1), P. R. Stein(1)