List questions from perturbation-theory

Published on 06 Apr 2021 - 18:25

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Why is $\sin^3(\tau + \phi)$ not a Secular term in the context of the van der Pol oscillator

Published on 08 Apr 2021 - 18:35

255

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WKB for non-homogeneous ODE

Published on 25 Mar 2026 - 9:31

486

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Eigenvalue perturbation of hermitian matrices

Published on 18 Apr 2021 - 20:56

319

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WKB for a boundary value problem with two layers

Published on 25 Mar 2026 - 9:22

112

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Calculate perturbed eigenvector components of sub-stochastic (PF) matrix

Published on 25 Mar 2026 - 9:23

346

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Boundary and Interior layer problem: $\epsilon y'' = yy' - y^3$ for $0 < x < 1, \; y(0 ) = \frac{3}{5}, y(1) = -\frac{2}{3}$

Published on 27 Apr 2021 - 2:03

725

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Angle and distance between subspaces.

Published on 27 Apr 2021 - 4:27

258

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Perturbation solution in a Bessel equation

Published on 29 Apr 2021 - 0:38

122

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Find the leading order solution to $\epsilon y'' + e^{x}y' + \epsilon y = 1, \; 0<x<1, \; y(0) = 0, y(1) =1 $

Published on 02 May 2021 - 2:09

172

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Perturbations method to solve differential equations

Published on 04 May 2021 - 1:10

222

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Shifting a matrix

Published on 12 May 2021 - 9:12

52

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Proof (or reference) about $\lambda_i(A+\epsilon e_je_j^*) = \lambda_i(A) + \epsilon |v_{i,j}|^2 + O(\epsilon^2).$

Published on 13 May 2021 - 9:17

45

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Regular Perturbation theory for $L=L_0+\epsilon ix$, where $L_0$ is an unbounded self-adjoint operator, on $\mathbb R$

Published on 19 May 2021 - 4:09

26

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Deriving solution of a second order ode from a closely related one with a different scalar coefficient for the term in X(x)

Published on 26 Mar 2026 - 23:11

List Question

Singular perturbation methods

Why is $\sin^3(\tau + \phi)$ not a Secular term in the context of the van der Pol oscillator

WKB for non-homogeneous ODE

Eigenvalue perturbation of hermitian matrices

WKB for a boundary value problem with two layers

Calculate perturbed eigenvector components of sub-stochastic (PF) matrix

Boundary and Interior layer problem: $\epsilon y'' = yy' - y^3$ for $0 < x < 1, \; y(0 ) = \frac{3}{5}, y(1) = -\frac{2}{3}$

Angle and distance between subspaces.

Perturbation solution in a Bessel equation

Find the leading order solution to $\epsilon y'' + e^{x}y' + \epsilon y = 1, \; 0<x<1, \; y(0) = 0, y(1) =1 $

Perturbations method to solve differential equations

Shifting a matrix

Proof (or reference) about $\lambda_i(A+\epsilon e_je_j^*) = \lambda_i(A) + \epsilon |v_{i,j}|^2 + O(\epsilon^2).$

Regular Perturbation theory for $L=L_0+\epsilon ix$, where $L_0$ is an unbounded self-adjoint operator, on $\mathbb R$

Deriving solution of a second order ode from a closely related one with a different scalar coefficient for the term in X(x)

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