Numerical Methods News

arXiv cs.GR details a deterministic, adjoint-based workflow for optimizing profile extrusion dies without relying on manual trial-and-error. The method uses non-boundary-conforming geometry representation to keep meshes stable as shapes change, …

Researchers have extended grid-free Monte Carlo diffusion solvers to transient heat equations, removing the need for volumetric meshing and time stepping. The method targets time-dependent diffusion with initial conditions plus …

A new reconstruction method uses a Lipschitz-extension pass to stabilize Moving Least Squares on sparse, irregular samples. The result is better accuracy and fewer failures when data points are unevenly …

A new solver architecture tackles exact Coulomb friction without smoothing or relaxing the law, aiming at the stick-slip and stacking cases that usually stress physics engines. The method splits the …

A new fluid-simulation discretization based on vakonomic mechanics aims to keep incompressible Euler motion on a geodesic path even after discretization. The method preserves Lie-Poisson structure, discrete relabeling symmetry, and …

A new fluid-simulation framework brings adaptive spatial and temporal refinement to incompressible flow on curved surfaces, cutting memory use by up to 86%. It also preserves harmonic flow components during …

A new Monte Carlo solver extends Walk on Stars from static PDEs to transient heat problems, which is the part graphics and simulation folks have been missing. The paper claims …

For graphics programmers, this paper tackles a long-standing failure mode: geometry pipelines that break on non-manifold data like edges, corners, self-intersections, and branching junctions. The authors introduce a tangent blow-up …

SonicRadiation introduces a novel hybrid numerical solution for sound radiation simulation, eliminating the need for ghost cells. This advancement significantly enhances accuracy and efficiency, especially in complex scenes, making it …