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 Theory-guided Weighted L2L^2 Loss for solving the BGK model via Physics-informed neural networks

This paper proposes a velocity-weighted L2L^2 loss function for Physics-Informed Neural Networks that overcomes the limitations of standard formulations in solving the BGK model by ensuring the convergence of macroscopic moments and demonstrating superior accuracy and robustness through theoretical stability analysis and numerical experiments.

Gyounghun Ko, Sung-Jun Son, Seung Yeon Cho, Myeong-Su Lee2026-04-08🤖 cs.LG

CVT Archives and Chemical Embedding Measures for Multi-Objective Quality Diversity in Molecular Design

This paper demonstrates that employing Centroidal Voronoi Tessellation (CVT) archives with ChemBERTa-2 and UMAP-derived chemical embeddings significantly outperforms traditional grid-based approaches in Multi-Objective MAP-Elites for discovering diverse, high-quality nonlinear optical molecules by efficiently navigating complex chemical spaces and balancing multiple competing objectives.

Dominic Mashak, Jacob Schrum2026-04-08🔬 physics

Does the total energy difference method for modelling core level photoemission fail for bigger molecules?

This study challenges the notion that the Δ\DeltaSCF method fails for larger molecules by demonstrating through new experimental and computational results on anthrone and a 44-molecule dataset that the method accurately predicts core electron binding energies for systems up to 40 atoms.

Marta Berholts, Tanel Käämbre, Arvo Tõnisoo, Rainer Pärna, Vambola Kisand, Juhan Matthias Kahk2026-04-08🔬 physics

JZ-Tree: GPU friendly neighbour search and friends-of-friends with dual tree walks in JAX plus CUDA

This paper introduces JZ-Tree, an open-source JAX and CUDA framework that employs a GPU-optimized Morton z-order plane-based tree hierarchy to overcome thread divergence and memory access inefficiencies, achieving over an order-of-magnitude performance improvement in kk-nearest neighbour search and friends-of-friends clustering compared to existing GPU libraries.

Jens Stücker, Oliver Hahn, Lukas Winkler, Adrian Gutierrez Adame, Thomas Flöss2026-04-08🔭 astro-ph

Numerical study of probabilistic well-posedness of one dimensional fractional nonlinear wave equations

This paper presents numerical simulations of the one-dimensional fractional cubic defocusing wave equation in a periodic setting, demonstrating that both norm inflation and probabilistic well-posedness can be observed in energy subcritical and supercritical regimes, thereby providing the first numerical evidence of these fine behaviors previously known only theoretically.

Wandrille Ruffenach, Nikolay Tzvetkov2026-04-08🔢 math-ph

Efficient High-order Mass-conserving and Energy-balancing Schemes for Schrödinger-Poisson Equations

This paper proposes and validates efficient, high-order numerical schemes that combine implicit-explicit Runge-Kutta time-stepping with Fourier collocation and relaxation-based post-processing to rigorously conserve mass and energy (or satisfy energy balance equations) for Schrödinger-Poisson systems, including those with time-varying coefficients relevant to cosmological simulations.

Manvendra Pratap Rajvanshi, David I. Ketcheson2026-04-08🔬 physics

Composition design of refractory compositionally complex alloys using machine learning models

This paper presents an integrated machine learning framework that efficiently explores the high-dimensional composition space of refractory compositionally complex alloys (RCCAs) to predict phase stability and temperature-dependent mechanical properties, thereby accelerating the discovery of new high-temperature materials.

Tao Liang, Eric A. Lass, Haochen Zhu, Carla Joyce C. Nocheseda, Philip D. Rack, Stephen Puplampu, Dayakar Penumadu, Haixuan Xu2026-04-08🔬 cond-mat.mtrl-sci

Numerically Exact Study of Flat-Band Superconductivity

Using controlled diagrammatic Monte Carlo simulations on the half-filled Lieb lattice, this study reveals that flat-band superconductivity exhibits a linear pairing response to attractive interactions and identifies a characteristic temperature TT_* as a controlled upper bound for TcT_c, which is maximized when all three bands touch at a single momentum point.

I. S. Tupitsyn, B. Currie, B. V. Svistunov, E. Kozik, N. V. Prokof'ev2026-04-08🔬 cond-mat