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Model-Based Clustering and Classification for Data Science, 2019
Bastian Goldluecke+8 more
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Bastian Goldluecke+8 more
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The Variational and WKB Methods
1994More often than not, it is impossible to find exact solutions to the eigenvalue problem of the Hamiltonian. One then turns to approximation methods, some of which will be described in this and the following chapters. In this section we consider a few examples that illustrate the variational method.
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Nonlinear Chirp Mode Decomposition: A Variational Method
IEEE Transactions on Signal Processing, 2017Shiqian Chen+4 more
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Variational methods for Hamiltonian PDEs
2008We present recent existence results of periodic solutions for completely resonant nonlinear wave equations in which both "small divisor" difficulties and infinite dimensional bifurcation phenomena occur. These results can be seen as generalizations of the classical finite-dimensional resonant center theorems of Weinstein-Moser and Fadell-Rabinowitz ...
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Variational Mode Decomposition
IEEE Transactions on Signal Processing, 2014Konstantin Dragomiretskiy+1 more
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A variational method to avoid locking—independent of the discretization scheme
, 2018Simon Bieber+3 more
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2017
In this chapter we discuss the use of optimization techniques in the study of ordinary and partial differential equations. The key idea is that a differential equation may arise as a necessary condition satisfies by a critical point of a well-chosen functional.
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In this chapter we discuss the use of optimization techniques in the study of ordinary and partial differential equations. The key idea is that a differential equation may arise as a necessary condition satisfies by a critical point of a well-chosen functional.
openaire +2 more sources