Geometric constrained variational calculus I: Piecewise smooth extremals
نویسندگان
چکیده
منابع مشابه
Geometric Integrators for Piecewise Smooth Hamiltonian Systems
Abstract. In this paper, we consider C1,1 Hamiltonian systems. We prove the existence of a first derivative of the flow with respect to initial values and show that it satisfies the symplecticity condition almost everywhere in the phase-space. In a second step, we present a geometric integrator for such systems (called the SDH method) based on B-splines interpolation and a splitting method intr...
متن کاملOptimal Approximations by Piecewise Smooth Functions and Associated Variational Problems
The purpose of this paper is to introduce and study the most basic properties of three new variational problems which are suggested by applications to computer vision. In computer vision, a fundamental problem is to appropriately decompose the domain R of a function g ( x , y) of two variables. To explain this problem, we have to start by describing the physical situation whch produces images: ...
متن کاملApproximating Piecewise-Smooth Functions
We consider the possibility of using locally supported quasi-interpolation operators for the approximation of univariate non-smooth functions. In such a case one usually expects the rate of approximation to be lower than that of smooth functions. It is shown in this paper that prior knowledge of the type of ’singularity’ of the function can be used to regain the full approximation power of the ...
متن کاملPiecewise smooth phase reconstruction.
A well-founded and computationally fast method is presented for filtering and interpolating noisy and discontinuous wrapped phase fields that preserves both the 2pi discontinuities that come from the wrapping effect and the true discontinuities that may be present. It also permits the incorporation of an associated quality map, if it is available, in a natural way. Examples of its application t...
متن کاملPiecewise Smooth Chebfuns
Algorithms are described that make it possible to manipulate piecewise-smooth functions on real intervals numerically with close to machine precision. Breakpoints are introduced in some such calculations at points determined by numerical rootfinding, and in others by recursive subdivision or automatic edge detection. Functions are represented on each smooth subinterval by Chebyshev series or in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2015
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887815500619