Higher Order Convergence Results for the Rayleigh–Ritz Method Applied to Eigenvalue Problems. I: Estimates Relating Rayleigh–Ritz and Galerkin Approximations to Eigenfunctions

J. G. Pierce; R. S. Varga

doi:10.1137/0709014

Higher Order Convergence Results for the Rayleigh–Ritz Method Applied to Eigenvalue Problems. I: Estimates Relating Rayleigh–Ritz and Galerkin Approximations to Eigenfunctions

SIAM Journal on Numerical Analysis ◽

10.1137/0709014 ◽

1972 ◽

Vol 9 (1) ◽

pp. 137-151 ◽

Cited By ~ 23

Author(s):

J. G. Pierce ◽

R. S. Varga

Keyword(s):

Eigenvalue Problems ◽

Ritz Method ◽

Higher Order ◽

Order Convergence ◽

Convergence Results ◽

Galerkin Approximations ◽

Higher Order Convergence

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Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems: 2. Improved error bounds for eigenfunctions

Numerische Mathematik ◽

10.1007/bf01402526 ◽

1972 ◽

Vol 19 (2) ◽

pp. 155-169 ◽

Cited By ~ 21

Author(s):

J. G. Pierce ◽

R. S. Varga

Keyword(s):

Error Bounds ◽

Eigenvalue Problems ◽

Ritz Method ◽

Higher Order ◽

Order Convergence ◽

Convergence Results ◽

Higher Order Convergence

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A note on initial higher-order convergence results for boundary element methods with approximated boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/1098-2426(200011)16:6<581::aid-num5>3.0.co;2-q ◽

2000 ◽

Vol 16 (6) ◽

pp. 581-588 ◽

Cited By ~ 3

Author(s):

Olaf Steinbach

Keyword(s):

Boundary Conditions ◽

Boundary Element ◽

Higher Order ◽

Boundary Element Methods ◽

Order Convergence ◽

Convergence Results ◽

Higher Order Convergence

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Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems

Applications of Mathematics ◽

10.1007/s10492-009-0015-7 ◽

2009 ◽

Vol 54 (3) ◽

pp. 237-250 ◽

Cited By ~ 17

Author(s):

Hongtao Chen ◽

Shanghui Jia ◽

Hehu Xie

Keyword(s):

Finite Element ◽

Eigenvalue Problems ◽

Mixed Finite Element ◽

Higher Order ◽

Order Convergence ◽

Finite Element Approximations ◽

Higher Order Convergence

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Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.12.015 ◽

2005 ◽

Vol 182 (2) ◽

pp. 333-349 ◽

Cited By ~ 23

Author(s):

A.B. Andreev ◽

R.D. Lazarov ◽

M.R. Racheva

Keyword(s):

Finite Element ◽

Eigenvalue Problems ◽

Mixed Finite Element ◽

Higher Order ◽

Order Convergence ◽

Finite Element Approximations ◽

Biharmonic Eigenvalue Problems ◽

Higher Order Convergence

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Higher order convergence results for an approximation of the bifurcation function for semilinear elliptic BVPs

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00488-6 ◽

2001 ◽

Vol 47 (6) ◽

pp. 3683-3694

Author(s):

Changbum Chun ◽

Q-Heung Choi

Keyword(s):

Higher Order ◽

Order Convergence ◽

Semilinear Elliptic ◽

Convergence Results ◽

Higher Order Convergence

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Achieving Higher Order Convergence for the Prices of European Options in Binomial Trees

SSRN Electronic Journal ◽

10.2139/ssrn.976561 ◽

2007 ◽

Cited By ~ 2

Author(s):

Mark S. Joshi

Keyword(s):

Higher Order ◽

European Options ◽

Order Convergence ◽

Binomial Trees ◽

Higher Order Convergence

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On Quasi-Monte Carlo Rules Achieving Higher Order Convergence

Monte Carlo and Quasi-Monte Carlo Methods 2008 ◽

10.1007/978-3-642-04107-5_5 ◽

2009 ◽

pp. 73-96 ◽

Cited By ~ 6

Author(s):

Josef Dick

Keyword(s):

Monte Carlo ◽

Higher Order ◽

Order Convergence ◽

Quasi Monte Carlo ◽

Higher Order Convergence

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New Higher-Order Convergence Properties for Multivariable Model Reference Adaptive Control Systems

2019 American Control Conference (ACC) ◽

10.23919/acc.2019.8814796 ◽

2019 ◽

Author(s):

Ge Song ◽

Gang Tao

Keyword(s):

Adaptive Control ◽

Control Systems ◽

Model Reference Adaptive Control ◽

Higher Order ◽

Order Convergence ◽

Multivariable Model ◽

Convergence Properties ◽

Adaptive Control Systems ◽

Model Reference Adaptive ◽

Higher Order Convergence

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Higher order convergence rates for Bregman iterated variational regularization of inverse problems

Numerische Mathematik ◽

10.1007/s00211-018-0987-x ◽

2018 ◽

Vol 141 (1) ◽

pp. 215-252 ◽

Cited By ~ 2

Author(s):

Benjamin Sprung ◽

Thorsten Hohage

Keyword(s):

Inverse Problems ◽

Convergence Rates ◽

Higher Order ◽

Order Convergence ◽

Higher Order Convergence ◽

Variational Regularization

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Pathwise approximation of stochastic differential equations on domains: higher order convergence rates without global Lipschitz coefficients

Numerische Mathematik ◽

10.1007/s00211-008-0200-8 ◽

2008 ◽

Vol 112 (1) ◽

pp. 41-64 ◽

Cited By ~ 34

Author(s):

A. Jentzen ◽

P. E. Kloeden ◽

A. Neuenkirch

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Convergence Rates ◽

Higher Order ◽

Order Convergence ◽

Higher Order Convergence ◽

Pathwise Approximation

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