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Eigenvalues of the discretized Navier-Stokes equation with application to the detection of Hopf bifurcations

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

inferredcites →https://doi.org/10.1007/978-3-0348-7004-7_15openalex-snapshot
Two Methods for the Numerical Detection of Hopf Bifurcations
inferredcites →https://doi.org/10.1007/978-94-009-0659-4_15openalex-snapshot
The Numerical Detection of Hopf Bifurcation Points
inferredcites →https://doi.org/10.1007/bf01065178openalex-snapshot
Finding leading modes of a viscous free surface flow: An asymmetric generalized eigenproblem
inferredcites →https://doi.org/10.1007/bf01389971openalex-snapshot
The Tchebychev iteration for nonsymmetric linear systems
inferredcites →https://doi.org/10.1007/bf01405199openalex-snapshot
Tchebychev acceleration technique for large scale nonsymmetric matrices
inferredcites →https://doi.org/10.1007/bf01462265openalex-snapshot
Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices
inferredcites →https://doi.org/10.1007/bfb0062098openalex-snapshot
Projection methods for solving large sparse eigenvalue problems
inferredcites →https://doi.org/10.1016/0020-7225(81)90013-6openalex-snapshot
Eigenproblems associated with the discrete LBB condition for incompressible finite elements
inferredcites →https://doi.org/10.1016/0021-9991(85)90012-9openalex-snapshot
Convergence properties of the finite-element method for Bénard Convection in an infinite layer
inferredcites →https://doi.org/10.1016/0021-9991(85)90022-1openalex-snapshot
Natural convection at very high rayleigh numbers
inferredcites →https://doi.org/10.1017/cbo9780511608827openalex-snapshot
Buoyancy Effects in Fluids
inferredcites →https://doi.org/10.1017/s0022112082001876openalex-snapshot
Notes on the multiplicity of flows in the Taylor experiment
inferredcites →https://doi.org/10.1051/m2an/1990240100531openalex-snapshot
Arnoldi-Tchebychev procedure for large scale nonsymmetric matrices
inferredcites →https://doi.org/10.1063/1.3128495openalex-snapshot
Buoyancy Effects in Fluids
inferredcites →https://doi.org/10.1090/s0025-5718-1984-0736453-8openalex-snapshot
Chebyshev Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems
inferredcites →https://doi.org/10.1093/oso/9780198596608.001.0001openalex-snapshot
Elementary Fluid Dynamics
inferredcites →https://doi.org/10.1098/rspa.1981.0122openalex-snapshot
Anomalous modes in the Taylor experiment
inferredcites →https://doi.org/10.1098/rsta.1923.0008openalex-snapshot
VIII. Stability of a viscous liquid contained between two rotating cylinders
inferredcites →https://doi.org/10.1137/s0895479892233230openalex-snapshot
Eigenvalues of Block Matrices Arising from Problems in Fluid Mechanics
inferredcites →https://doi.org/10.1142/9789812798886_0014openalex-snapshot
A GENERALISED CAYLEY TRANSFORM FOR THE NUMERICAL DETECTION OF HOPF BIFURCATIONS IN LARGE SYSTEMS
inferredcites →https://doi.org/10.1145/152613.152614openalex-snapshot
Computing selected eigenvalues of sparse unsymmetric matrices using subspace iteration

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)1097-0363(19970615)24:11<1185::aid-fld535>3.0.co;2-xopenalex-snapshot
Localization of Hopf bifurcations in fluid flow problems
inferred← citeshttps://doi.org/10.1002/(sici)1097-0363(20000130)32:2<175::aid-fld912>3.0.co;2-5openalex-snapshot
O(2)-symmetry breaking bifurcation: with application to the flow past a sphere in a pipe
inferred← citeshttps://doi.org/10.1002/cpe.785openalex-snapshot
Parallel iterative methods for Navier–Stokes equations and application to eigenvalue computation
inferred← citeshttps://doi.org/10.1002/fld.135openalex-snapshot
Large‐scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers
inferred← citeshttps://doi.org/10.1002/fld.135.absopenalex-snapshot
Large‐scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers
inferred← citeshttps://doi.org/10.1002/fld.2740openalex-snapshot
Continuation methods applied to the 2D Navier–Stokes equations at high Reynolds numbers
inferred← citeshttps://doi.org/10.1002/nla.799openalex-snapshot
A stabilization algorithm of the Navier–Stokes equations based on algebraic Bernoulli equation
inferred← citeshttps://doi.org/10.1006/jcph.1999.6363openalex-snapshot
Different Modes of Rayleigh–Bénard Instability in Two- and Three-Dimensional Rectangular Enclosures
inferred← citeshttps://doi.org/10.1006/jcph.2002.7167openalex-snapshot
Two-Fluid Marangoni–Bénard Convection with a Deformable Interface
inferred← citeshttps://doi.org/10.1007/3-540-45706-2_98openalex-snapshot
Parallel Iterative Methods for Navier-Stokes Equations and Application to Stability Assessment
inferred← citeshttps://doi.org/10.1007/978-3-662-03972-4_5openalex-snapshot
Numerical Methods for Bifurcation Problems
inferred← citeshttps://doi.org/10.1007/bfb0095348openalex-snapshot
Massively parallel linear stability analysis with P_ARPACK for 3D fluid flow modeled with MPSalsa
inferred← citeshttps://doi.org/10.1007/s002110050229openalex-snapshot
Detection of Hopf points by counting sectors in the complex plane
inferred← citeshttps://doi.org/10.1007/s10915-010-9453-3openalex-snapshot
Adaptivity and a Posteriori Error Control for Bifurcation Problems II: Incompressible Fluid Flow in Open Systems with Z 2 Symmetry
inferred← citeshttps://doi.org/10.1007/s10915-011-9545-8openalex-snapshot
Adaptivity and a Posteriori Error Control for Bifurcation Problems III: Incompressible Fluid Flow in Open Systems with O(2) Symmetry
inferred← citeshttps://doi.org/10.1016/0022-0248(95)00923-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/b978-0-44-318785-8.00009-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.apnum.2010.03.014openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.camwa.2013.09.024openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2010.02.007openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2019.03.052openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2019.109131openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jnnfm.2026.105622openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.laa.2011.07.020openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.laa.2018.09.021openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0045-7825(98)00183-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00405-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0962492900000398openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/5.0051846openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0169-5983/46/5/055507openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0025-5718-07-02040-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0025-5718-97-00844-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1093/imanum/16.3.297openalex-snapshot
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inferred← citeshttps://doi.org/10.1108/09615530410544328openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/080731918openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/080742890openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0218127412502550openalex-snapshot
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inferred← citeshttps://doi.org/10.1146/annurev-fluid-122109-160705openalex-snapshot
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inferred← citeshttps://doi.org/10.12681/eadd/29938openalex-snapshot
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inferred← citeshttps://doi.org/10.17586/2220-8054-2017-8-2-180-187openalex-snapshot
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inferred← citeshttps://doi.org/10.2172/782594openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/2.68openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/6.1996-2128openalex-snapshot
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