摘要:This work is concerned with establishing the existence and uniqueness of the solution to a mixed-type degenerate boundary value problem for a relativistic magnetohydrodynamics system. We first consider a full relativistic magnetohydrodynamics system and reduce it to a simplified form under the ...
This method exhibits a spectral-like accuracy, with the free functions involved in the FCE form represented by polynomial bases or by non-polynomial bases of quasi-random sinusoidal functions. The FCE method offers a unique advantage over traditional element-based methods for boundary value problems ...
It is a Java property file whose keys are always of the form type@id[,version] but where the value is open ended. When using map files to fetch your elements, the directory file is a concatenation of all the map files, for more details on map files see Fetching From Repositories. ...
Then, we turn our attention to the coupling of the constitutive law with a quasi-static momentum relation and solve the full PDE boundary value problem ... Auricchio,Ferdinando,Stefanelli,... - 《Mathematical Models & Methods in Applied Sciences》 被引量: 28发表: 2005年 Modeling and Finite ...
Usually this projection is done by taking the maximum value of a feature map over the orientations \(\theta \), for every position \((x,y) \in \mathbb {R}^2\) Full size image Fig. 8 Visualization of how a PDE-G-CNN and CNN incrementally complete a line throughout their layers. ...
Therefore we quickly summarize the theory and technique of FEM solvers to enable advanced applications to make full use of the computed quantities. FEM can be summarized in the following sentence: Project the weak form of the differential equation onto a finite-dimensional function space. The rest...
On a unified theory of boundary value problems for elliptic-parabolic equations of second order, Boundary Value Problems in Differential Equations Here we study linear PDE for which one poses an initial-value problem, also called a "Cauchy problem," say at time t=t 0. The emphasis is on ...
(R)enantiomeris responsible for the activity, with PDE2A IC50of 0.024 μM, while the(S)enantiomer was inactive. Although compound44showed an excellent PDE2A inhibition value, the authors considered its selectivity againstPDE3not high enough (SI PDE3/PDE2 = 180), while to others PDEs the ...
摘要:We develop the ultraspherical rectangular collocation (URC) method, a collocation implementation of the sparse ultraspherical method of Olver & Townsend for two-point boundary-value problems. The URC method is provably convergent, the implementation is simple and efficient, the convergence proof ...
摘要:We prove the existence of an open set minimizing the first eigenvalue of the Dirichlet polylaplacian of order $m geq1$ under volume constraint. Moreover, the corresponding eigenfunction is shown to enjoy $C^{m-1, alpha}$ H "older regularity. This is performed for dimension $2 leq ...