Titlebook: High Performance Computing in Science and Engineering; Third International Tomáš Kozubek,Martin Čermák,Jiří Jaroš Conference proceedings 2

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Applications of Trace Estimation Techniques,e consider that can be cast in this form is that of approximating the . or . (DOS) of a matrix. The DOS is a probability density distribution that measures the likelihood of finding eigenvalues of the matrix at a given point on the real line, and it is an important function in solid state physics. W

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Proportionality-Based Gradient Methods with Applications in Contact Mechanics,oning with Reduced Gradient Projections) and P2GP (Proportionality-based Two-phase Gradient Projection) are presented and applied to the solution of auxiliary problems in the inner loop of an augmented lagrangian algorithm called SMALBE (Semi-monotonic Augmented Lagrangian for Bound and Equality con

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Relating Computed and Exact Entities in Methods Based on Lanczos Tridiagonalization,ebraic equations. Loss of orthogonality in the underlying Lanczos process delays significantly their convergence in finite-precision computation, whose connection to exact computation is still not fully understood. In this paper, we exploit the idea of simultaneous comparison of finite-precision and

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Using ESPRESO as Linear Solver Library for Third Party FEM Tools for Solving Large Scale Problems,y of the solver was tested on several of the world’s largest supercomputers. To provide our scalable implementation of HTFETI algorithms to all potential users, a simple C API was developed and is presented. The paper describes API methods, compilation and linking process..As a proof of concept we i

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MERIC and RADAR Generator: Tools for Energy Evaluation and Runtime Tuning of HPC Applications,an be used for manual instrumentation and analysis of any application from the energy and time consumption point of view. Besides tracing, MERIC can also change environment and hardware parameters during the application runtime, which leads to energy savings..MERIC stores large amounts of data, whic