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- Stephen F. McCormick

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
36
Citations
5,853
149
World Ranking
1784
National Ranking
771

- Mathematical analysis
- Partial differential equation
- Algebra

Stephen F. McCormick spends much of his time researching Mathematical analysis, Multigrid method, Partial differential equation, Finite element method and Applied mathematics. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Geometry, Mixed finite element method and Least squares. His Multigrid method research incorporates themes from Linear system, Mathematical optimization and Domain decomposition methods.

His Partial differential equation study combines topics from a wide range of disciplines, such as Basis, Explicit knowledge, Linear algebra, Iterative method and Solver. Stephen F. McCormick interconnects Discretization, Grid and Norm in the investigation of issues within Finite element method. His Applied mathematics research integrates issues from Finite volume element, Numerical partial differential equations, First-order partial differential equation and Composite grid.

- First-order system least squares for second-order partial differential equations: part I (316 citations)
- Multilevel Adaptive Methods for Partial Differential Equations (241 citations)
- Algebraic Multigrid Based on Element Interpolation (AMGe) (183 citations)

His primary areas of investigation include Multigrid method, Mathematical analysis, Applied mathematics, Finite element method and Partial differential equation. His Multigrid method study incorporates themes from Linear system, Iterative method, Mathematical optimization, Algorithm and Discretization. His Mathematical analysis research is multidisciplinary, relying on both Grid and Least squares.

His Applied mathematics study combines topics in areas such as Basis, Solver, Positive-definite matrix and Relaxation. His studies in Finite element method integrate themes in fields like Conservation law and Boundary value problem. Stephen F. McCormick works mostly in the field of Partial differential equation, limiting it down to topics relating to Numerical analysis and, in certain cases, Differential equation, as a part of the same area of interest.

- Multigrid method (56.76%)
- Mathematical analysis (32.43%)
- Applied mathematics (31.08%)

- Multigrid method (56.76%)
- Applied mathematics (31.08%)
- Algorithm (14.86%)

His primary areas of study are Multigrid method, Applied mathematics, Algorithm, Norm and Matrix. Stephen F. McCormick merges Multigrid method with Coalescence in his research. Stephen F. McCormick combines subjects such as Magnetohydrodynamics and Schur complement with his study of Applied mathematics.

His Algorithm research also works with subjects such as

- Simple, which have a strong connection to Mathematical optimization, Tessellation, Interpolation, Extrapolation and Relaxation,
- Adaptive mesh refinement together with Quadtree and Grid. His work deals with themes such as Current, Isogeometric analysis and Boundary value problem, Dirichlet boundary condition, which intersect with Norm. His Matrix research is multidisciplinary, incorporating elements of Iterative method, Solver, Algebraic number and Rounding.

- Smoothed aggregation multigrid for cloth simulation (40 citations)
- Algebraic Multigrid Domain and Range Decomposition (AMG-DD/AMG-RD) (12 citations)
- Parallel adaptive mesh refinement for first‐order system least squares (8 citations)

- Mathematical analysis
- Partial differential equation
- Algebra

Stephen F. McCormick focuses on Multigrid method, Algorithm, Range, Tessellation and Simple. Multigrid method is frequently linked to Magnetic reconnection in his study. The concepts of his Magnetic reconnection study are interwoven with issues in Classical mechanics, Magnetohydrodynamics, Applied mathematics and Computation.

His study ties his expertise on Resistive touchscreen together with the subject of Applied mathematics. His Tessellation research includes themes of Mathematical optimization and Conjugate gradient method. Decomposition is intertwined with Iterative method, Algebra, Algebraic number, Matrix and Domain decomposition methods in his study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Multilevel adaptive methods for partial differential equations

Stephen Fahrney McCormick.

**(1987)**

559 Citations

First-order system least squares for second-order partial differential equations: part I

Z. Cai;R. Lazarov;T. A. Manteuffel;S. F. McCormick.

SIAM Journal on Numerical Analysis **(1994)**

433 Citations

Algebraic Multigrid Based on Element Interpolation (AMGe)

M. Brezina;A. J. Cleary;R. D. Falgout;V. E. Henson.

SIAM Journal on Scientific Computing **(2000)**

329 Citations

Robustness and Scalability of Algebraic Multigrid

Andrew J. Cleary;Robert D. Falgout;Van Emden Henson;Jim E. Jones.

SIAM Journal on Scientific Computing **(1999)**

246 Citations

First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity

Z. Cai;T. A. Manteuffel;S. F. McCormick.

SIAM Journal on Numerical Analysis **(1997)**

235 Citations

Adaptive Algebraic Multigrid

M. Brezina;R. Falgout;S. MacLachlanT. Manteuffel;S. McCormick.

SIAM Journal on Scientific Computing **(2005)**

178 Citations

Control-volume mixed finite element methods

Z. Cai;J. E. Jones;S. F. McCormick;T. F. Russell.

Computational Geosciences **(1996)**

173 Citations

Adaptive multigrid algorithm for the lattice Wilson-Dirac operator.

R. Babich;J. Brannick;R. C. Brower;M. A. Clark.

Physical Review Letters **(2010)**

158 Citations

Adaptive Smoothed Aggregation ($lpha$SA) Multigrid

M. Brezina;R. Falgout;S. MacLachlan;T. Manteuffel.

Siam Review **(2005)**

151 Citations

Multigrid Methods for Differential Eigenproblems

A. Brandt;S. McCormick;J. Ruge.

Siam Journal on Scientific and Statistical Computing **(1983)**

146 Citations

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