Computational physics bridges the gap between abstract theory and real-world observation by using powerful computers to solve complex physical problems. This field allows scientists to simulate everything from the collision of subatomic particles to the swirling dynamics of galaxies, offering insights that traditional experiments alone cannot provide.

On Gist.Science, we continuously process every new preprint in this category from arXiv to make these breakthroughs accessible to everyone. Each entry is accompanied by both a clear, plain-language explanation and a detailed technical summary, ensuring that researchers and curious readers alike can grasp the significance of the latest findings without getting lost in dense equations.

Below are the latest papers in computational physics, curated to keep you at the forefront of this rapidly evolving discipline.

A Cartesian grid-based boundary integral method for moving interface problems

This paper presents a stable and efficient Cartesian grid-based boundary integral method that reformulates elliptic and parabolic PDEs into boundary integral equations solved via matrix-free GMRES and finite difference-based integral evaluation, utilizing θL\theta-L variables to simplify mesh preservation and enable robust time-stepping for complex moving interface problems like Hele-Shaw flow and Stefan solidification.

Han Zhou, Shuwang Li, Wenjun Ying2026-04-22🔬 physics

Scalable Data-Driven Basis Selection for Linear Machine Learning Interatomic Potentials

This paper introduces active set algorithms for automated, data-driven basis selection within the Atomic Cluster Expansion framework, demonstrating that the resulting sparse linear machine learning interatomic potentials offer superior computational efficiency, generalization accuracy, and interpretability compared to dense models.

Tina Torabi, Matthias Militzer, Michael P. Friedlander, Christoph Ortner2026-04-22🔬 physics

Adaptive hyperviscosity stabilisation for the RBF-FD method in solving advection-dominated transport equations

This paper introduces a general, adaptive hyperviscosity stabilization procedure for the RBF-FD method that dynamically determines the viscosity constant based on the spectral radius of the evolution matrix to efficiently and stably solve advection-dominated transport equations on unbounded domains without empirical tuning.

Miha Rot, Žiga Vaupotič, Andrej Kolar-Požun, Gregor Kosec2026-04-22🔬 physics

Diffusion Synthetic Acceleration for polytopic discretisations of Boltzmann transport

This paper presents a computational study demonstrating that a modified interior penalty (MIP) formulation for Diffusion Synthetic Acceleration (DSA) applied to polytopic discontinuous Galerkin discretizations of SNS_N transport equations maintains robust convergence across various optical and scattering regimes, outperforming the classical symmetric interior penalty (SIP) approach which can lose stability in intermediate conditions.

Ansar Calloo, Matthew Evans, François Madiot, Tristan Pryer2026-04-22🔢 math

Nonuniform Iterative Phasing Framework and Sampling Requirements for 3D Dynamical Inversion from Coherent Surface Scattering Imaging

This paper introduces a nonuniform iterative phasing framework that combines iterative-projection techniques with fast nonuniform Fourier inversion to efficiently reconstruct high-resolution 3D structures from coherent surface scattering imaging data, effectively addressing challenges posed by dynamical scattering, nonuniform sampling, and phase retrieval while validating the approach on simulated nanostructures.

Jeffrey J. Donatelli, Miaoqi Chu, Zixi Hu, Zhang Jiang, Nicholas Schwarz, Jin Wang, James A. Sethian2026-04-22🔬 physics

The High Explosives and Affected Targets (HEAT) Dataset

The paper introduces the High-Explosives and Affected Targets (HEAT) dataset, a comprehensive collection of two-dimensional, cylindrically symmetric multi-material shock simulations generated at Los Alamos National Laboratory, designed to fill the critical gap in public data needed for training and validating AI surrogate models of complex explosive-driven physics.

Bryan Kaiser, Kyle Hickmann, Sharmistha Chakrabarti, Soumi De, Sourabh Pandit, David Schodt, Jesus Pulido, Divya Banesh, Christine Sweeney2026-04-22🤖 cs.LG

Neural Operator Representation of Granular Micromechanics-based Failure Envelope

This paper proposes a differentiable, physics-informed neural operator that efficiently learns the mapping between microstructural configurations and macroscopic failure envelopes for granular materials, enabling rapid forward prediction and inverse identification while ensuring mechanical admissibility through convexity constraints and reducing computational costs via active learning.

Jinkyo Han, Payam Poorsolhjouy, Bahador Bahmani2026-04-22🔬 physics