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## Kershaw, David S.

Compute Distance To:
 Author ID: kershaw.david-s Published as: Kershaw, D.; Kershaw, D. S.; Kershaw, David; Kershaw, David S.
 Documents Indexed: 33 Publications since 1962
all top 5

#### Co-Authors

 3 single-authored 3 Prasad, Manoj K. 2 Milovich, Jose L. 2 Shaw, Michael J. 2 Shestakov, Aleksei Ilyich 1 Douglas Beason, J. 1 Harte, J. A.

#### Serials

 5 Journal of Computational Physics 1 Computer Methods in Applied Mechanics and Engineering

#### Fields

 5 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 296 times in 277 Documents Cited by Year
The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations. Zbl 0367.65018
Kershaw, David S.
1978
Differencing of the diffusion equation in Lagrangian hydrodynamic codes. Zbl 0467.76080
Kershaw, David S.
1981
Inequalities on the elements of the inverse of a certain tridiagonal matrix. Zbl 0229.15012
Kershaw, D.
1970
3D unstructured mesh ALE hydrodynamics with the upwind discontinuous finite element method. Zbl 0954.76045
Kershaw, David S.; Prasad, Manoj K.; Shaw, Michael J.; Milovich, Jose L.
1998
The orders of approximation of the first derivative of cubic splines at the knots. Zbl 0261.65012
Kershaw, D.
1972
Some results for Abel-Volterra integral equations of the second kind. Zbl 0532.65090
Kershaw, D.
1982
A note on the convergence of interpolatory cubic splines. Zbl 0219.65013
Kershaw, D.
1971
Solution of the diffusion equation by finite elements in Lagrangian hydrodynamic codes. Zbl 0639.76090
Shestakov, A. I.; Harte, J. A.; Kershaw, D. S.
1988
Operator norms of powers of the Volterra operator. Zbl 0990.47041
Kershaw, D.
1999
The explicit inverses of two commonly occurring matrices. Zbl 0177.20201
Kershaw, D.
1969
Two interpolatory cubic splines. Zbl 0268.65004
Kershaw, D.
1973
On the problem of unstable pivots in the incomplete LU-conjugate gradient method. Zbl 0442.65022
Kershaw, David S.
1980
A note on orthogonal polynomials. Zbl 0208.18601
Kershaw, D.
1970
A bound on the inverse of a band matrix which occurs in interpolation by periodic odd order splines. Zbl 0374.65006
Kershaw, D.
1977
Upper and lower bounds for a ratio involving the gamma function. Zbl 1074.33003
Kershaw, D.
2005
An analysis of the method of L. Fox and L. Hayes for the factorization of a polynomial. Zbl 0618.65034
Kershaw, D.
1987
Sard’s best quadrature formulas of order two. Zbl 0268.65015
Kershaw, D.
1972
A non-linear eigenvalue problem associated with inextensible whirling strings. Zbl 1237.74021
Coomer, J.; Lazarus, M.; Tucker, R. W.; Kershaw, D.; Tegman, A.
2001
3D unstructured mesh ALE hydrodynamics with the upwind discontinuous Galerkin method. Zbl 1041.76544
Prasad, Manoj K.; Milovich, Jose L.; Shestakov, Aleksei I.; Kershaw, David S.; Shaw, Michael J.
2000
Variations on the theme of Gaussian elimination. Zbl 0760.65024
Kershaw, D.
1992
Using physical insight: The relativistic Compton scattering kernel for radiative transfer. Zbl 0737.65102
Douglas Beason, J.; Kershaw, David S.; Prasad, Manoj K.
1991
The stability of a numerical method for a second kind Abel equation. Zbl 0532.65091
Kershaw, D.
1982
An error analysis for a numerical solution of the eigenvalue problem for compact positive operators. Zbl 0448.65084
Kershaw, D.
1980
Permanents in Fredholm’s theory of integral equations. Zbl 0448.45015
Kershaw, D.
1979
On the existence of positive solutions of $$Au=\lambda Bu$$. Zbl 0275.15008
Kershaw, D.
1973
Methods for the Bethe-Salpeter equation. I: Special functions and expansions in spherical harmonics. Zbl 1227.81182
Kershaw, David; Snodgrass, Herschel; Zemach, Charles
1970
The economics of dumping from electronic computers. Zbl 0104.35801
Kershaw, D.; Vajda, S.
1962
Upper and lower bounds for a ratio involving the gamma function. Zbl 1074.33003
Kershaw, D.
2005
A non-linear eigenvalue problem associated with inextensible whirling strings. Zbl 1237.74021
Coomer, J.; Lazarus, M.; Tucker, R. W.; Kershaw, D.; Tegman, A.
2001
3D unstructured mesh ALE hydrodynamics with the upwind discontinuous Galerkin method. Zbl 1041.76544
Prasad, Manoj K.; Milovich, Jose L.; Shestakov, Aleksei I.; Kershaw, David S.; Shaw, Michael J.
2000
Operator norms of powers of the Volterra operator. Zbl 0990.47041
Kershaw, D.
1999
3D unstructured mesh ALE hydrodynamics with the upwind discontinuous finite element method. Zbl 0954.76045
Kershaw, David S.; Prasad, Manoj K.; Shaw, Michael J.; Milovich, Jose L.
1998
Variations on the theme of Gaussian elimination. Zbl 0760.65024
Kershaw, D.
1992
Using physical insight: The relativistic Compton scattering kernel for radiative transfer. Zbl 0737.65102
Douglas Beason, J.; Kershaw, David S.; Prasad, Manoj K.
1991
Solution of the diffusion equation by finite elements in Lagrangian hydrodynamic codes. Zbl 0639.76090
Shestakov, A. I.; Harte, J. A.; Kershaw, D. S.
1988
An analysis of the method of L. Fox and L. Hayes for the factorization of a polynomial. Zbl 0618.65034
Kershaw, D.
1987
Some results for Abel-Volterra integral equations of the second kind. Zbl 0532.65090
Kershaw, D.
1982
The stability of a numerical method for a second kind Abel equation. Zbl 0532.65091
Kershaw, D.
1982
Differencing of the diffusion equation in Lagrangian hydrodynamic codes. Zbl 0467.76080
Kershaw, David S.
1981
On the problem of unstable pivots in the incomplete LU-conjugate gradient method. Zbl 0442.65022
Kershaw, David S.
1980
An error analysis for a numerical solution of the eigenvalue problem for compact positive operators. Zbl 0448.65084
Kershaw, D.
1980
Permanents in Fredholm’s theory of integral equations. Zbl 0448.45015
Kershaw, D.
1979
The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations. Zbl 0367.65018
Kershaw, David S.
1978
A bound on the inverse of a band matrix which occurs in interpolation by periodic odd order splines. Zbl 0374.65006
Kershaw, D.
1977
Two interpolatory cubic splines. Zbl 0268.65004
Kershaw, D.
1973
On the existence of positive solutions of $$Au=\lambda Bu$$. Zbl 0275.15008
Kershaw, D.
1973
The orders of approximation of the first derivative of cubic splines at the knots. Zbl 0261.65012
Kershaw, D.
1972
Sard’s best quadrature formulas of order two. Zbl 0268.65015
Kershaw, D.
1972
A note on the convergence of interpolatory cubic splines. Zbl 0219.65013
Kershaw, D.
1971
Inequalities on the elements of the inverse of a certain tridiagonal matrix. Zbl 0229.15012
Kershaw, D.
1970
A note on orthogonal polynomials. Zbl 0208.18601
Kershaw, D.
1970
Methods for the Bethe-Salpeter equation. I: Special functions and expansions in spherical harmonics. Zbl 1227.81182
Kershaw, David; Snodgrass, Herschel; Zemach, Charles
1970
The explicit inverses of two commonly occurring matrices. Zbl 0177.20201
Kershaw, D.
1969
The economics of dumping from electronic computers. Zbl 0104.35801
Kershaw, D.; Vajda, S.
1962
all top 5

#### Cited by 464 Authors

 12 Pini, Giorgio 10 Shashkov, Mikhail J. 9 Gambolati, Giuseppe 6 Behforooz, G. Hossein 6 Sakai, Manabu 5 Gao, Zhiming 5 Wu, Jiming 5 Yuan, Guangwei 4 Böttcher, Albrecht 4 Breil, Jérôme 4 Hermeline, François 4 Kershaw, David S. 4 Lipitakis, Elias A. 4 Maire, Pierre-Henri 4 Shestakov, Aleksei Ilyich 4 Usmani, Riaz A. 3 Dörfler, Peter 3 Eggermont, Paul P. B. 3 Evans, David John 3 Ferronato, Massimiliano 3 Forsyth, Peter A. 3 Kuchařík, Milan 3 Margolin, Len G. 3 Morel, Jim E. 3 Papamichael, Nicolas 3 Paul, Manosh C. 3 Zhang, Jun 2 Arany, Ilona 2 Arrarás, Andres 2 Axelsson, Axel Owe Holger 2 Behie, A. 2 Benzi, Michele 2 Bergamaschi, Luca 2 Bini, Dario Andrea 2 Dai, Zihuan 2 Darwish, M. S. 2 Diyankov, Oleg V. 2 Dotlić, Milan 2 Droniou, Jérôme 2 Dubeau, François 2 Eymard, Robert 2 Fidalgo Prieto, Ulises 2 Galera, Stéphane 2 Hang, Xudeng 2 Huang, Ting-Zhu 2 Illán González, Jesús 2 Janna, Carlo 2 Jia, Zupeng 2 Kaporin, Igor E. 2 Knoll, Dana A. 2 Köhler, Peter 2 Koshelev, Serge V. 2 Lee, Eunjoo 2 Lipnikov, Konstantin N. 2 Liska, Richard 2 López Lagomasino, Guillermo Tomás 2 Loubère, Raphaël 2 Luo, Hong 2 Magolu monga Made, Mardochée 2 Manteuffel, Thomas A. 2 Manzini, Gianmarco 2 McKee, Sean 2 Milyukova, Olga Yu. 2 Molla, Md. Mamun 2 Morgan, Nathaniel R. 2 Moukalled, F. H. 2 Neuman, Edward 2 Parlett, Beresford Neill 2 Pokorni, Boris 2 Portero, Laura 2 Pušić, Milenko 2 Ragusa, Jean C. 2 Robert, Yves 2 Saad, Yousef 2 Schoenberg, Isaac Jacob 2 Shah, Abhijit A. 2 Sheng, Zhiqiang 2 Terekhov, Kirill M. 2 Vidovic, Dragan 1 Abdalkhani, Javad 1 Abdalla Filho, João Elias 1 Adams, Marvin L. 1 Ahmadi-Befrui, B. 1 Ahn, Hyung Taek 1 Akay, Hasan U. 1 Alles, Michael L. 1 An, Hengbin 1 Anderson, Arthur E. jun. 1 Appert, K. 1 Arienti, Marco 1 Arsham, Hossein 1 Ayadi, Mekki 1 Ayed, Hela 1 Azevedo-Perdicoúlis, Teresa Paula 1 Babaei, Reza 1 Badri, Masoud A. 1 Baffico, Leonardo 1 Bahadir, Ahmet Refik 1 Bähr, Martin 1 Bailey, Teresa S. ...and 364 more Authors
all top 5

#### Cited in 79 Serials

 51 Journal of Computational Physics 20 Computer Methods in Applied Mechanics and Engineering 19 Journal of Computational and Applied Mathematics 19 Linear Algebra and its Applications 17 Applied Mathematics and Computation 10 BIT 10 Journal of Approximation Theory 10 Numerische Mathematik 6 Computers and Fluids 6 Computers & Mathematics with Applications 6 Mathematics of Computation 5 Applied Numerical Mathematics 4 International Journal for Numerical Methods in Fluids 4 Journal of Mathematical Analysis and Applications 4 Journal of Integral Equations and Applications 4 International Journal of Computer Mathematics 3 International Journal for Numerical Methods in Engineering 3 Communications in Numerical Methods in Engineering 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Transport Theory and Statistical Physics 2 Mathematics and Computers in Simulation 2 Computer Aided Geometric Design 2 Numerical Methods for Partial Differential Equations 2 Journal of Scientific Computing 2 Japan Journal of Industrial and Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Scientific Computing 2 Physics of Fluids 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Engineering Analysis with Boundary Elements 2 Parallel Algorithms and Applications 1 Bulletin of the Australian Mathematical Society 1 Computer Physics Communications 1 International Journal of Heat and Mass Transfer 1 International Journal of Systems Science 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Advances in Mathematics 1 Aplikace Matematiky 1 Computing 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Advances in Engineering Software 1 Potential Analysis 1 Computational Optimization and Applications 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Vietnam Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Computational Geosciences 1 Engineering Computations 1 Living Reviews in Relativity 1 Differential Equations 1 Physical Review D. Series III 1 Journal of Applied Mathematics and Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin of the American Mathematical Society 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 ISRN Applied Mathematics 1 Journal of Classical Analysis 1 International Journal of Applied and Computational Mathematics 1 Computational Visual Media 1 Advances in Operator Theory
all top 5

#### Cited in 37 Fields

 179 Numerical analysis (65-XX) 72 Fluid mechanics (76-XX) 49 Partial differential equations (35-XX) 45 Approximations and expansions (41-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 17 Integral equations (45-XX) 14 Mechanics of deformable solids (74-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Computer science (68-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Optics, electromagnetic theory (78-XX) 6 Special functions (33-XX) 6 Operator theory (47-XX) 4 Real functions (26-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)