Diffusion equation with anisotropic coefficients arise in many environmental topics, heat transfer, groundwater flow and transport problems, petroleum reservoir simulations, hydrodynamic simulations, ... These problems are characterized by a full rank diffusion tensor, that is diagonal only if the reference system is aligned with the principal direction of anisotropy (Bear). Numerical difficult...

In this paper, we present a fast and easy-to-implement locally physics-based Inverse Kinematics(IK) method. Our method builds upon a mass-spring model and relies on force interactions between masses. Joint rotations are computed using the closed-form method with predefined local axis coordinates. Combining these two approaches offers convincing visual quality results obtained with high time per...

As service providers move more applications to their IP/MPLS (Multiple Protocol Label Switching) networks, rapid restoration upon failure becomes more and more crucial. Recently MPLS fast reroute has attracted lots of attention as it was designed to meet the needs of real-time applications, such as voice over IP. MPLS fast reroute achieves rapid restoration by computing and signaling backup lab...

Algebraic attacks is a powerful type of attacks against LFSR-based stream ciphers. Solving large sparse linear equations Ax = b is needed for this attack. The traditional Gaussian elimination is not efficient for such matrix equations because of its cube run time complexity. Quadratic run time algorithms like Lanczos or Wiedemann Methods are the better for such large sparse matrices. We impleme...

In a recent paper, the authors introduced the recovery method resp. local energy matching principle for solving large systems of lattice equations. The idea is to construct a partial differential equation along with a finite element discretisation such that the arising system of linear equations has equivalent energy as the original system of lattice equations. Since a vaste variety of efficien...

SAT solvers have been ranked primarily by the time they take to find a solution or show that none exists. And indeed, for many problems that are reduced to SAT, finding a single solution is what matters. As a result, much less attention has been paid to the problem of efficiently generating all solutions. This paper explains why such functionality is useful. We outline an approach to automatic ...

A very effective method for some kind of problems is the Method of Fundamental Solutions (MFS). It is a boundary meshless method which does not need any mesh and in linear problems only nodes (collocation points) on the domain boundaries and a set of source functions (fundamental solutions, i.e. Kelvin functions) in points outside the domain are necessary to satisfy the boundary conditions. Ano...

In this paper we show new solver strategies for the multigroup SPN equations for nuclear reactor analysis. By forming the complete matrix over space, moments, and energy, a robust set of solution strategies may be applied. Power iteration, shifted power iteration, Rayleigh quotient iteration, Arnoldi’s method, and a generalized Davidson method, each using algebraic and physics-based multigrid p...

In this paper the interval valued function is defined in the parametric form and its properties are studied. A methodology is developed to study the existence of the solution of a general interval optimization problem, which is expressed in terms of the interval valued functions. The methodology is applied to the interval valued convex quadratic programming problem.