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Jacobian-free Newton–Krylov methods: a survey of approaches and applications

Journal of Computational Physics · 2003 · Vol. 193(2) · pp. 357–397
D. A. KnollDavid E. Keyes
Matrix Theory and AlgorithmsNumerical Methods and AlgorithmsNumerical methods for differential equationsJacobian matrix and determinantKrylov subspaceNonlinear systemContext (archaeology)Convergence (economics)Newton's methodMathematicsApplied mathematicsGeneralized minimal residual methodMathematical optimization
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References
Numerical Methods for Nonlinear Variational Problems
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A self-consistent iterative scheme for one-dimensional steady state transistor calculations
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Multi-level adaptive solutions to boundary-value problems
Mathematics of Computation · 1977 · 3,198 citations
Numerical Simulation of reactive flow
Combustion and Flame · 1988 · 538 citations
Iterative Solution of Nonlinear Equations in Several Variables
Mathematics of Computation · 1971 · 4,451 citations
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