Quartic Regularity [0.03%]
四次正则性
Yurii Nesterov
Yurii Nesterov
In this paper, we propose new linearly convergent second-order methods for minimizing convex quartic polynomials. This framework is applied for designing optimization schemes, which can solve general convex problems satisfying a new conditi...
Strongly Base-Two Groups [0.03%]
强二本原群
Timothy C Burness,Robert M Guralnick
Timothy C Burness
Let G be a finite group, let H be a core-free subgroup and let b(G, H) denote the base size for the action of G on G/H. Let α(G) be the number of conjugacy classes of core-free subgroups H of G with b(G,H)≥3. We say that G is a s...
Attila Maróti,Saveliy V Skresanov
Attila Maróti
General bounds are presented for the diameters of orbital graphs of finite affine primitive permutation groups. For example, it is proved that the orbital diameter of a finite affine primitive permutation group with a nontrivial point stabi...
Fabio Marcinno&#x;,Alberto Zingaro,Ivan Fumagalli et al.
Fabio Marcinno&#x; et al.
In this work we study the blood dynamics in the pulmonary arteries by means of a 3D-0D geometric multiscale approach, where a detailed 3D model for the pulmonary arteries is coupled with a lumped parameters (0D) model of the cardiovascular ...
Conservation of Forces and Total Work at the Interface Using the Internodes Method [0.03%]
基于内部节点法的界面力和总功的守恒性研究
Simone Deparis,Paola Gervasio
Simone Deparis
The Internodes method is a general purpose method to deal with non-conforming discretizations of partial differential equations on 2D and 3D regions partitioned into disjoint subdomains. In this paper we are interested in measuring how much...
How to Best Choose the Outer Coarse Mesh in the Domain Decomposition Method of Bank and Jimack [0.03%]
Bank和Jimack的区域分解方法中外粗网格的选择问题
Gabriele Ciaramella,Martin J Gander,Parisa Mamooler
Gabriele Ciaramella
In Ciaramella et al. (2020) we defined a new partition of unity for the Bank-Jimack domain decomposition method in 1D and proved that with the new partition of unity, the Bank-Jimack method is an optimal Schwarz method in 1D and thus conver...
Arthur Bik,Alessandro Danelon,Jan Draisma et al.
Arthur Bik et al.
A theorem due to Kazhdan and Ziegler implies that, by substituting linear forms for its variables, a homogeneous polynomial of sufficiently high strength specialises to any given polynomial of the same degree in a bounded number of variable...
An Inverse Problem Involving a Viscous Eikonal Equation with Applications in Electrophysiology [0.03%]
一个涉及粘性折反射方程的逆问题及其在电生理学中的应用
Karl Kunisch,Philip Trautmann
Karl Kunisch
In this work we discuss the reconstruction of cardiac activation instants based on a viscous Eikonal equation from boundary observations. The problem is formulated as a least squares problem and solved by a projected version of the Levenber...
Active Force Generation in Cardiac Muscle Cells: Mathematical Modeling and Numerical Simulation of the Actin-Myosin Interaction [0.03%]
心肌细胞中的活性力产生：肌动蛋白和肌球蛋白相互作用的数学建模与数值模拟
Francesco Regazzoni,Luca Dedè,Alfio Quarteroni
Francesco Regazzoni
Cardiac in silico numerical simulations are based on mathematical models describing the physical processes involved in the heart function. In this review paper, we critically survey biophysically-detailed mathematical models describing the ...
Shmuel Onn
Shmuel Onn
We consider the vector partition problem, where n agents, each with a d-dimensional attribute vector, are to be partitioned into p parts so as to minimize cost which is a given function on the sums of attribute vectors in each part. The pro...