The paper presents AMGCL—an opensource C++ library implementing the algebraic
multigrid method (AMG) for solution of large sparse linear systems of equations, usually …

This monograph is a fundamental reference for scientists and engineers who encounter spin
processes in their work. The author, Ilya Kuprov, derives the concept of spin from basic …

In recent years, convolutional neural networks (CNNs) have experienced an increasing
interest in their ability to perform a fast approximation of effective hydrodynamic parameters …

The design of complex underground infrastructure projects involves various empirical,
analytical, or numerical models with different levels of complexity. The use of simulation …

This text presents contributions to efficient high-order finite element solvers in the context of
the project ExaDG, part of the DFG priority program 1648 Software for Exascale Computing …

Present-day stencil codes are implemented in general-purpose programming languages,
such as Fortran, C, or Java, Python or derivates thereof, and harnesses for parallelism, such …

This work investigates matrix‐free algorithms for problems in quasi‐static finite‐strain
hyperelasticity. Iterative solvers with matrix‐free operator evaluation have emerged as an …

In this article, a new generic higher-order finite-element framework for massively parallel
simulations is presented. The modular software architecture is carefully designed to exploit …

Multigrid methods are popular solution algorithms for many discretized PDEs, either as
standalone iterative solvers or as preconditioners, due to their high efficiency. However, the …

The computational complexity of naive, sampling-based uncertainty quantification for 3D
partial differential equations is extremely high. Multilevel approaches, such as multilevel …