Scalable and efficient numerical simulations continue to gain importance, as computation is
firmly established as the third pillar of discovery, alongside theory and experiment …

We present a novel adaptive-resolution particle method for continuous parabolic problems.
In this method, particles self-organize in order to adapt to local resolution requirements. This …

Domain-specific languages (DSLs) are of increasing importance in scientific high-
performance computing to reduce development costs, raise the level of abstraction, and …

Particle methods provide a simple yet powerful framework for simulating both discrete and
continuous systems either deterministically or stochastically. The inherent adaptivity of …

Modern fluorescence microscopy modalities, such as light-sheet microscopy, are capable of
acquiring large three-dimensional images at high data rate. This creates a bottleneck in …

We present PPML, a domain-specific programming language for parallel particle and
particle-mesh simulations. PPML provides a concise set of high-level abstractions for …

Mathematical models in the form of differential equations can often not be solved
analytically, but need to be simulated by means of a numerical method. Particle methods are …

Hybrid particle–mesh methods provide a versatile framework for simulating discrete and
continuous systems. A key component is the forward and backward interpolation of particle …

Alongside theory and experiment, computing has become the third pillar of science. Meeting
the increasing demand for computing power, highperformance computer systems are …

We present a meshless particle method for Poisson and diffusion problems on domains with
discontinuous coefficients and possibly inhomogeneous boundary conditions. The method …