Keyword

eigenfunction expansion

Description: A mathematical technique that represents functions or solutions as sums of eigenfunctions, used to solve differential equations and engineering problems.

Primary topic: Spectral Theory in Mathematical Physics (22%)

OpenAlex ID: keywords/eigenfunction-expansion

Eigenfunction expansions associated with second-order differential equations

1946 · E. C. Titchmarsh · CERN Document Server (European Organization for Nuclear Research) · 1,713

Semiclassical approximations in wave mechanics

1972 · M V Berry, K E Mount · Reports on Progress in Physics · 1,424

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Ordinary Differential Equations.

1963 · C. E. Langenhop, G. Birkhoff, et al. · American Mathematical Monthly · 1,317

Plane Problems of Cracks in Dissimilar Media

1965 · J. R. Rice, G. C. Sih · Journal of Applied Mechanics · 1,226

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

2011 · Kenichi Sakamoto, Masahiro Yamamoto · Journal of Mathematical Analysis and Applications · 1,207

Sturm-Liouville Operators and Applications

1986 · Vladimir A. Marchenko · Operator theory · 1,181

Expansions in Eigenfunctions of Selfadjoint Operators

1968 · Ju. Berezanskiĭ · Translations of mathematical monographs · 933

Dynamics of Transversely Vibrating Beams Using Four Engineering Theories

1999 · SEON M. HAN, HAYM BENAROYA, et al. · Journal of Sound and Vibration · 921

Accuracy of finite-difference modeling of the acoustic wave equation

1974 · R. M. Alford, K. R. Kelly, et al. · Geophysics · 724

On the use of resonant states in eigenfunction expansions of scattering and reaction amplitudes

1968 · Tore Berggren · Nuclear Physics A · 624

An eigenfunction expansion method for the analysis of exponential decay curves

1976 · S. W. Provencher · The Journal of Chemical Physics · 617

Eigenfunction Expansions Associated with Second-Order Differential Equations, Part 2

1958 · E. C. Titchmarsh, George Weiss · Physics Today · 611

Expansions in eigenfunctions of selfadjoint operators

1968 · Ю. М. Березанский, Richard Bolstein · American Mathematical Society eBooks · 580

The Schrödinger Equation

1991 · F. A. Berezin, M. A. Shubin · Springer eBooks · 577

q -Fractional Calculus and Equations

2012 · Mahmoud H. Annaby, Zeinab S. Mansour · Lecture notes in mathematics · 558

Fourier analysis and its applications

1992 · Choice Reviews Online · 520

Elementary solutions of the transport equation and their applications

1960 · K.M Case · Annals of Physics · 517

Newton's method and periodic solutions of nonlinear wave equations

1993 · Walter Craig, C. Eugene Wayne · Communications on Pure and Applied Mathematics · 478

Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions

1977 · Charles T. Fulton · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 440

Thermal instability of nanofluids in natural convection

2007 · D.Y. Tzou · International Journal of Heat and Mass Transfer · 416

Viscous Sublayer and Adjacent Wall Region in Turbulent Pipe Flow

1967 · Henry P. Bakewell, John L. Lumley · The Physics of Fluids · 401

Sturm–liouville and dirac operators

1992 · Mathematics and Computers in Simulation · 399

Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation

2009 · Jin Cheng, Junichi Nakagawa, et al. · Inverse Problems · 394

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Boundary-Layer Effects in Composite Laminates: Part 1—Free-Edge Stress Singularities

1982 · S. S. Wang, I. Choi · Journal of Applied Mechanics · 385

Comparative Spatial Filtering in Regression Analysis

2002 · Arthur Getis, Daniel A. Griffith · Geographical Analysis · 363

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Works count: 6,907

Citation count: 89,240