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Does uniqueness of a solution to a perturbation approximation imply local uniqueness to the original equation?

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#taylor-expansion #systems-of-equations #homotopy-theory #nonlinear-system #perturbation-theory
456
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Eigenvalue, Eigenvector, of a Tridiagonal Symmetric "nearly" Toeplitz Matrix

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#eigenvalues-eigenvectors #perturbation-theory #symmetric-matrices #tridiagonal-matrices
2k
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Linear Stability Analysis of ODEs/PDEs

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#partial-differential-equations #fourier-analysis #perturbation-theory #stability-in-odes #stability-theory
142
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Method of steepest descents; forming the contour?

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#complex-analysis #perturbation-theory
234
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Davis-Kahan type results for lower bounds

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#linear-algebra #perturbation-theory
348
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Lindstedt-Poincare method to find a valid first approximation

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#ordinary-differential-equations #perturbation-theory
202
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Analyze $y' = y\cdot \cos(x+y)$

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#ordinary-differential-equations #asymptotics #perturbation-theory
35
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Method of Steepest descents - determining location of end points?

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#integration #asymptotics #perturbation-theory
96
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Why solution is nonzero in the outer region

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#ordinary-differential-equations #perturbation-theory
1.2k
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Books on Perturbation Methods

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#reference-request #quantum-mechanics #perturbation-theory
601
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Using the iterative method find terms in the asymptotic expansion of the roots of this polynomial

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#asymptotics #perturbation-theory
140
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Spectral radius of matrix with flipped entries

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#linear-algebra #matrices #perturbation-theory #spectral-radius
884
Views

Perturbation theory with non-symmetric matrices

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#perturbation-theory
524
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Expansion of perturbed pseudo-inverse

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#linear-algebra #perturbation-theory #pseudoinverse
1.6k
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Find a two-term expansion for the root of 1+\sqrt(x^2+\epsilon)=e^x.

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#asymptotics #taylor-expansion #perturbation-theory

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