Approximate diagonalization of variable-coefficient differential operators through similarity transformations

DOI10.1016/j.camwa.2012.06.021zbMath1268.65101OpenAlexW1971391037MaRDI QIDQ356203

James V. Lambers

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.06.021

zbMATH Keywords

eigenvalue problempseudodifferential operatorssimilarity transformationsymbolic calculus

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

Modeling the diffusion of heat energy within composites of homogeneous materials using the uncertainty principle ⋮ Diagonalization of 1-D differential operators with piecewise constant coefficients using the uncertainty principle

Cites Work

• Derivation of high-order spectral methods for time-dependent PDE using modified moments
• Krylov subspace spectral methods for variable-coefficient initial-boundary value problems
• Preconditioners based on windowed Fourier frames applied to elliptic partial differential equations
• An accuracy improvement in Egorov's theorem
• The uncertainty principle
• Discrete Symbol Calculus
• Analysis of Wave Propagation in 1D Inhomogeneous Media
• Pseudo‐differential operators
• An algebra of pseudo‐differential operators
• Fourier integral operators
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