Abstract We consider the numerical solution of elliptic problems in 3D with boundary nonlinearity, such as arising stationary heat conduction models. allow general non-orthotropic materials where matrix conductivities is a nondiagonal full matrix. The approach involves finite element method (FEM) and Newton type iterations. develop quasi-Newton for this problem, using spectral equivalence to ap...

Wireless networks are growing rapidly. TCP is the most widely-used protocol on Internet and so optimizing TCP performance is very important for fast efficient data transfer. The different existing TCP variants and solutions they have not been analyzed together to identify the bottlenecks in wireless networks. TCP has a major problem in its congestion control algorithm which does not allow the f...

The multi-parameter full waveform inversion (FWI) that integrates velocity and density can make use of the kinematic dynamic information measured data to reconstruct underground model. However, it faces problems crosstalk between multiple parameters strong nonlinearity. This research proposes a multi-constrained, FWI framework based on projected quasi-Newton algorithm. introduce types prior geo...

For convex minimization we introduce an algorithm based on VU-space decomposition. The method uses a bundle subroutine to generate a sequence of approximate proximal points. When a primal-dual track leading to a solution and zero subgradient pair exists, these points approximate the primal track points and give the algorithm’s V, or corrector, steps. The subroutine also approximates dual track ...

In recent years, implicit stochastic Runge–Kutta (SRK) methods have been developed both for strong and weak approximations. For these methods, the stage values are only given implicitly. However, in practice these implicit equations are solved by iterative schemes such as simple iteration, modified Newton iteration or full Newton iteration. We employ a unifying approach for the construction of ...