We propose a multisymplectic scheme to solve the coupled Klein–Gordon–Schrödinger system. The scheme preserves the multisymplectic geometry structure exactly by satisfying the discrete multisymplectic conservation law, and can simulate the original waves well in a long time. This scheme also has discrete quasi-norm conservation law. Numerical experiments demonstrate the consistency between the ...

The Schwarz algorithm for a class of elliptic quasi-variational inequalities with nonlinear source terms is studied in this work. The authors prove a new error estimate in uniform norm, making use of a stability property of the discrete solution. The domain is split into two sub-domains with overlapping non-matching grids. This approach combines the geometrical convergence of solutions and the ...

The paper addresses structural decomposition of images by using a family of non-linear and non-convex objective functions. These functions rely on `p quasi-norm estimation costs in a piecewise constant regularization framework. These objectives make image decomposition into constant cartoon levels and rich textural patterns possible. The paper shows that these regularizing objectives yield imag...

Solving the so-called geodesic endpoint problem, i.e., finding a that connects two given points on manifold, is at basis of virtually all data processing operations, including averaging, clustering, interpolation and optimization. On Stiefel manifold orthonormal frames, this problem computationally involved. A remedy to use quasi-geodesics as replacement for Riemannian geodesics. Quasi-geodesic...

In this contribution, we first introduce the concept of metrical T-norm-based similarity measure for hesitant fuzzy sets (HFSs) {by using the concept of T-norm-based distance measure}. Then,the relationship of the proposed {metrical T-norm-based} similarity {measures} with the {other kind of information measure, called the metrical T-norm-based} entropy measure {is} discussed. The main feature ...

In this paper, we show that any compact quasi k-Yamabe gradient soliton must have constant \(\sigma _{k}\)-curvature. Moreover, provide a certain condition for to be gradient, and noncompact solitons, present geometric rigidity under decay on the norm of field.