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A Large, Sparse, and Indefinite Generalized Eigenvalue Problem from Fluid Mechanics

https://doi.org/10.1137/0913022
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/fld.1650100106openalex-snapshot
Buoyancy‐driven instability in a vertical cylinder: Binary fluids with Soret effect. Part I: General theory and stationary stability results
inferredcites →https://doi.org/10.1007/978-3-0348-5715-4_3openalex-snapshot
Stability of Thermocapillary Convection in Float-Zone Crystal Growth
inferredcites →https://doi.org/10.1007/978-3-642-80994-1openalex-snapshot
Stability of Fluid Motions II
inferredcites →https://doi.org/10.1007/bf00282321openalex-snapshot
A reformulation of energy stability theory
inferredcites →https://doi.org/10.1007/bf01591172openalex-snapshot
On the Liapunov-Movchan and the energy theories of stability
inferredcites →https://doi.org/10.1007/bfb0072639openalex-snapshot
Continuation and multi-grid for nonlinear elliptic systems
inferredcites →https://doi.org/10.1016/0017-9310(70)90181-xopenalex-snapshot
Thermoconvective instability in a bounded cylindrical fluid layer
inferredcites →https://doi.org/10.1016/0017-9310(71)90037-8openalex-snapshot
On thermoconvective instability in a bounded cylindrical fluid layer
inferredcites →https://doi.org/10.1016/0021-9991(89)90200-3openalex-snapshot
Large-scale complex eigenvalue problems
inferredcites →https://doi.org/10.1017/s0022112062001421openalex-snapshot
Analysis of the stability of axisymmetric jets
inferredcites →https://doi.org/10.1017/s0022112083000324openalex-snapshot
Steady and oscillatory thermocapillary convection in liquid columns with free cylindrical surface
inferredcites →https://doi.org/10.1017/s002211209000088xopenalex-snapshot
Energy stability of thermocapillary convection in a model of the float-zone crystal-growth process
inferredcites →https://doi.org/10.1137/0712047openalex-snapshot
Solution of Sparse Indefinite Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0907054openalex-snapshot
Generalizations of Davidson’s Method for Computing Eigenvalues of Sparse Symmetric Matrices

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/(sici)1099-1506(199801/02)5:1<33::aid-nla125>3.0.co;2-1openalex-snapshot
Harmonic projection methods for large non-symmetric eigenvalue problems
inferred← citeshttps://doi.org/10.1007/978-3-0348-5715-4_3openalex-snapshot
Stability of Thermocapillary Convection in Float-Zone Crystal Growth
inferred← citeshttps://doi.org/10.1007/978-3-0348-8528-7_18openalex-snapshot
Stability Analysis of Thermocapillary Convection in Semiconductor Crystal Growth
inferred← citeshttps://doi.org/10.1007/s00500-021-05977-xopenalex-snapshot
A novel algorithm for computing interior eigenpairs of large non-symmetric matrices
inferred← citeshttps://doi.org/10.1007/s13160-012-0090-0openalex-snapshot
A refined Arnoldi type method for large scale eigenvalue problems
inferred← citeshttps://doi.org/10.1016/0895-7177(94)90176-7openalex-snapshot
Hydrodynamic stability of thermocapillary convection in liquid bridges
inferred← citeshttps://doi.org/10.1016/j.cam.2006.05.035openalex-snapshot
A modified harmonic block Arnoldi algorithm with adaptive shifts for large interior eigenproblems
inferred← citeshttps://doi.org/10.1016/j.cam.2010.01.049openalex-snapshot
A global harmonic Arnoldi method for large non-Hermitian eigenproblems with an application to multiple eigenvalue problems
inferred← citeshttps://doi.org/10.1016/s0168-9274(01)00132-5openalex-snapshot
The refined harmonic Arnoldi method and an implicitly restarted refined algorithm for computing interior eigenpairs of large matrices
inferred← citeshttps://doi.org/10.1093/imanum/16.3.297openalex-snapshot
Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems
inferred← citeshttps://doi.org/10.1137/0915045openalex-snapshot
Iterative Solution of the Eigenvalue Problem in Hopf Bifurcation for the Boussinesq Equations
inferred← citeshttps://doi.org/10.1137/s0895479894274255openalex-snapshot
The Restarted Arnoldi Method Applied to Iterative Linear System Solvers for the Computation of Rightmost Eigenvalues
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