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Everything about Numerical continuation
Method in numerical analysis
Numerical continuation is a method of computing approximate solutions of a system of parameterized nonlinear equations, Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Numerical continuationA 5-minute orientation
- Skim a recent paper: Numerical analytic continuationInfluential work since 2022
- Pick up a classic book: Elementary Flight Dynamics with an Introduction to Bifurcation and Continuation MethodsThe most-reprinted book on the subject
- Read the landmark paper: A numerical continuation method based on Padé approximantsCited 115 times
- Go sideways: Hopf bifurcationA closely related topic
- Go sideways: Differential-algebraic system of equationsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
A numerical continuation method based on Padé approximants
Numerical Solutions by the Continuation Method
Numerical analytic continuation: Answers to well-posed questions
On the numerical continuation of periodic orbits
Design space optimization using a numerical design continuation method
Numerical analytic continuation of Euclidean data
Numerical continuation methods: a perspective
Numerical Polynomial Homotopy Continuation Method and String Vacua
🆕 Influential since 2022
Numerical analytic continuation
Nonlinear Dynamics of Turbine Generator Shaft Trains: Evaluation of Bifurcation Sets Applying Numerical Continuation
Numerical methods for control-based continuation of relaxation oscillations
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation
A fast robust numerical continuation solver to a two‐dimensional spectral estimation problem
📚 Books worth reading
Elementary Flight Dynamics with an Introduction to Bifurcation and Continuation MethodsNandan K. Sinha, N. Ananthkrishnan · 2013
Solution of Ordinary Differential Equations by Continuous GroupsGeorge Emanuel · 2000
Metrical theory of continued fractionsMarius Iosifescu, M. Iosifescu · 2002
Introduction to numerical continuation methodsEugene L. Allgower, Kurt Georg · 1987
Problems of nonlinear deformationĖduard Ivanovich Grigoli͡uk, E.I. Grigolyuk · 1991
Recipes for ContinuationHarry Dankowicz, Frank Schilder · 2013
Solving polynomial systems using continuation for engineering and scientific problemsMorgan, Alexander · 1987
Rational Approximation and its Applications in Mathematics and PhysicsJacek Gilewicz, Maciej Pindor · 1987
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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