Keyword

iterative solvers

Description: Iterative solvers are numerical algorithms that repeatedly refine approximate solutions to mathematical problems, including sparse linear systems arising in scientific computing.

Primary topic: Matrix Theory and Algorithms (51%)

Wikidata ID: wiki/Q2321565

OpenAlex ID: keywords/iterative-solvers

Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems

1992 · H. A. van der Vorst · SIAM Journal on Scientific and Statistical Computing · 5,310

ShengBTE: A solver of the Boltzmann transport equation for phonons

2014 · Wu Li, Jesús Carrete, et al. · Computer Physics Communications · 3,131

Numerical solution of saddle point problems

2005 · Michele Benzi, Gene H. Golub, et al. · Acta Numerica · 2,301

Multi-Grid Methods and Applications

1985 · Wolfgang Hackbusch · Springer series in computational mathematics · 2,273

Multi-grid methods and applications.

1986 · Tomoyuki Takahashi, Yoshinao Kajikawa, et al. · Mathematics and Computers in Simulation · 1,871

Numerical approximation of partial differential equations

1987 · Quarteroni, Alfio 1952-, Valli, Alberto · Mathematics and Computers in Simulation · 1,864

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Domain decomposition: Parallel multilevel methods for elliptic partial differential equations

1997 · By Barry Smith · Computers & Mathematics with Applications · 1,836

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Electronic structure, properties, and phase stability of inorganic crystals: A pseudopotential plane-wave study

2000 · V. Milman, B. Winkler, et al. · International Journal of Quantum Chemistry · 1,756

The fast multipole method for the wave equation: a pedestrian prescription

1993 · R. Coifman, V. Rokhlin, et al. · IEEE Antennas and Propagation Magazine · 1,478

Preconditioning Techniques for Large Linear Systems: A Survey

2002 · Michele Benzi · Journal of Computational Physics · 1,222

CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems

1989 · Peter Sonneveld · SIAM Journal on Scientific and Statistical Computing · 1,162

Solving Nonlinear Equations with Newton's Method

2003 · C. T. Kelley · Society for Industrial and Applied Mathematics eBooks · 1,106

4. Algebraic Multigrid

1987 · J. W. Ruge, K. Stüben · Society for Industrial and Applied Mathematics eBooks · 1,059

QMR: a quasi-minimal residual method for non-Hermitian linear systems

1991 · Roland W. Freund, No�l M. Nachtigal · Numerische Mathematik · 963

hypre: A Library of High Performance Preconditioners

2002 · Robert D. Falgout, Ulrike Meier Yang · Lecture notes in computer science · 930

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Variational Iterative Methods for Nonsymmetric Systems of Linear Equations

1983 · Stanley C. Eisenstat, Howard C. Elman, et al. · SIAM Journal on Numerical Analysis · 929

Theory of thermal stresses

1959 · D.M. Gilbey · Journal of the Less Common Metals · 909

A Randomized Kaczmarz Algorithm with Exponential Convergence

2008 · Thomas Strohmer, Roman Vershynin · Journal of Fourier Analysis and Applications · 905

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Multilevel fast‐multipole algorithm for solving combined field integral equations of electromagnetic scattering

1995 · J. M. Song, W. C. Chew · Microwave and Optical Technology Letters · 854

High-Order Methods for Incompressible Fluid Flow

2002 · M. O. Deville, P. F. Fischer, et al. · Cambridge University Press eBooks · 841

Conjugate gradient methods for indefinite systems

1976 · R. Fletcher · Lecture notes in mathematics · 819

Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems

1982 · Christopher C. Paige, Michael A. Saunders · ACM Transactions on Mathematical Software · 788

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Meta-learning with differentiable closed-form solvers

2018 · Bertinetto, Luca, Henriques, João F., et al. · arXiv (Cornell University) · 656

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A review of algebraic multigrid

2001 · K. Stüben · Journal of Computational and Applied Mathematics · 638

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Balancing domain decomposition

1993 · Jan Mandel · Communications in Numerical Methods in Engineering · 624

Works count: 14,980

Citation count: 173,600