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Keyword

small parameter

Description: A parameter whose magnitude is treated as small in mathematical models, enabling asymptotic analysis and perturbation methods for differential equations.
OpenAlex ID: keywords/small-parameter
Perturbation theory for linear operators
1966 · Tosio Kato · Springer eBooks · 7,130
A coupling method of a homotopy technique and a perturbation technique for non-linear problems
2000 · Ji-Huan He · International Journal of Non-Linear Mechanics · 1,809
Canonical transformations depending on a small parameter
1969 · Andr� Deprit · Celestial Mechanics and Dynamical Astronomy · 997
The Quasi-Steady-State Assumption: A Case Study in Perturbation
1989 · Lee A. Segel, Marshall Slemrod · SIAM Review · 717
Perturbation Methods
1991 · E. J. Hinch · Cambridge University Press eBooks · 706
An approximate solution technique not depending on small parameters: A special example
1995 · Shi-Jun Liao · International Journal of Non-Linear Mechanics · 622
Regular degeneration and boundary layer for linear differential equations with small parameter
1962 · M. I. Višik, L. A. Lyusternik · Translations - American Mathematical Society/Translations · 413
Thin elastic and periodic plates
1984 · D. Caillerie, J. C. Nedelec · Mathematical Methods in the Applied Sciences · 349
Wave-solutions of reversible systems and applications
1982 · Klaus Kirchgässner · Journal of Differential Equations · 312
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Averaging methods for finding periodic orbits via Brouwer degree
2003 · Adriana Buică, Jaume Llibre · Bulletin des Sciences Mathématiques · 308
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Elimination of fast variables
1985 · N Van Kampen · Physics Reports · 304
Differencing scheme for a differential equation with a small parameter affecting the highest derivative
1969 · A. M. Il'in · Mathematical Notes · 300
On Stochastic Processes Defined by Differential Equations with a Small Parameter
1966 · R. Z. Has’minskii · Theory of Probability and Its Applications · 297
The Exit Problem for Randomly Perturbed Dynamical Systems
1977 · B. J. Matkowsky, Z. Schuss · SIAM Journal on Applied Mathematics · 288
The Incompressible Limit of the Non-Isentropic Euler Equations
2001 · G. Métivier, S. Schochet · Archive for Rational Mechanics and Analysis · 265
Asymptotic Behaviour of Solutions to Certain Problems Involving Non-linear Differential Equations Containing a Small Parameter Multiplying the Highest Derivatives
1963 · A B Vasil'eva · Russian Mathematical Surveys · 252
Assessment of homotopy–perturbation and perturbation methods in heat radiation equations
2005 · D.D. Ganji, A. Rajabi · International Communications in Heat and Mass Transfer · 249
Properties of solutions of ordinary differential equations with small parameters
1971 · Frank Hoppensteadt · Communications on Pure and Applied Mathematics · 230
Geometrical evolution of developed interfaces
1995 · Piero de Mottoni, Michelle Schatzman · Transactions of the American Mathematical Society · 229
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Adaptive Structures: Dynamics and Control
2001 · Robert L. Clark, William R. Saunders, et al. · The Journal of the Acoustical Society of America · 228
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Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations
1982 · Charles G. Lange, Robert M. Miura · SIAM Journal on Applied Mathematics · 208
Asymptotic Analysis of Fields in Multi-Structures
1999 · Vladimir Kozlov, Vladimir Maz’ya, et al. · 206
Asymptotic Methods for Ordinary Differential Equations
2000 · R. P. Kuzmina · Springer eBooks · 189
Asymptotic Analysis
1993 · Mikhail V. Fedoryuk · Springer eBooks · 187
Homotopy analysis method: A new analytical technique for nonlinear problems
1997 · Shijun Liao · Communications in Nonlinear Science and Numerical Simulation · 182
Works count: 4,279
Citation count: 42,820
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