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A fast and spectrally accurate Ewald summation method for the evaluation of stokeslet, stresslet and rotlet potentials of three-dimensional Stokes flow is presented. This work extends the previously developed Spectral Ewald method for…

Numerical Analysis · Mathematics 2024-08-06 Joar Bagge , Anna-Karin Tornberg

Massively parallel computer architectures create new opportunities for the performance of long-timescale molecular dynamics (MD) simulations. Here, we introduce the path-accelerated molecular dynamics (PAMD) method that takes advantage of…

Computational Physics · Physics 2021-01-11 Jorge L. Rosa-Raíces , Bin Zhang , Thomas F. Miller

In this paper we study a general theoretical framework which allows to approximate the real space Ewald sum by means of effective force shifted screened potentials, together with a self term. Using this strategy it is possible to generalize…

Materials Science · Physics 2014-11-10 Victor H. Elvira , Luis G. MacDowell

Hybrid quantum mechanics / molecular mechanics (QM/MM) models successfully describe the properties of biological macromolecules. However, most QM/MM methodologies are constrained to unrealistic gas phase models, thus limiting their…

Chemical Physics · Physics 2022-11-08 Simone Bonfrate , Nicolas Ferré , Miquel , Huix-Rotllant

We present a new method, in the following called MMM2D, to accurately calculate the electrostatic energy and forces on charges being distributed in a two dimensional periodic array of finite thickness. It is not based on an Ewald summation…

Soft Condensed Matter · Physics 2009-11-07 Axel Arnold , Christian Holm

We present a technique to efficiently compute long-range interactions in systems with periodic boundary conditions. We extend the well-known Ewald method by using a linear combination of screening Gaussian charge distributions instead of…

Computational Physics · Physics 2014-09-16 Ilkka Kylänpää , Esa Räsänen

This review describes recent advances by the authors and others on the topic of incorporating experimental data into molecular simulations through maximum entropy methods. Methods which incorporate experimental data improve accuracy in…

Chemical Physics · Physics 2019-05-15 Dilnoza B. Amirkulova , Andrew D. White

The evaluation of electrostatic energy for a set of point charges in a periodic lattice is a computationally expensive part of molecular dynamics simulations (and other applications) because of the long-range nature of the Coulomb…

In this work we develop the Spectral Ewald Accelerated Stokesian Dynamics (SEASD), a novel computational method for dynamic simulations of polydisperse colloidal suspensions with full hydrodynamic interactions. SEASD is based on the…

Computational Physics · Physics 2016-01-20 Mu Wang , John F. Brady

We derive and implement an alternative formulation of the Stochastic Lanczos algorithm to be employed in connection with the Many-Body Dispersion model (MBD). Indeed, this formulation, which is only possible due to the Stochastic Lanczos'…

Chemical Physics · Physics 2023-10-23 Pier P. Poier , Louis Lagardère , Jean-Philip Piquemal

Molecular dynamics (MD) simulation is one of the past decade's most important tools for enabling biology scientists and researchers to explore human health and diseases. However, due to the computation complexity of the MD algorithm, it…

Computational Physics · Physics 2016-11-15 Jason Cong , Zhenman Fang , Hassan Kianinejad , Peng Wei

The fast Ewald methods are widely used to compute the point-charge electrostatic interactions in molecular simulations. The key step that introduces errors in the computation is the particle-mesh interpolation. In this work, the optimal…

Chemical Physics · Physics 2017-10-25 Han Wang , Jun Fang , Xingyu Gao

Quasi two-dimensional Coulomb systems have drawn widespread interest. The reduced symmetry of these systems leads to complex collective behaviors, yet simultaneously poses significant challenges for particle-based simulations. In this…

Numerical Analysis · Mathematics 2025-07-15 Zecheng Gan , Xuanzhao Gao , Jiuyang Liang , Zhenli Xu

Molecular simulations of the forced unfolding and refolding of biomolecules or molecular complexes allow to gain important kinetic, structural and thermodynamic information about the folding process and the underlying energy landscape. In…

Soft Condensed Matter · Physics 2021-05-26 Marco Oestereich , Jürgen Gauss , Gregor Diezemann

Machine learning interatomic potentials (MLIPs) often neglect long-range interactions, such as electrostatic and dispersion forces. In this work, we introduce a straightforward and efficient method to account for long-range interactions by…

Machine Learning · Computer Science 2024-12-20 Bingqing Cheng

Recently, Gimbutas et al derived an elegant representation for the Green's functions of Stokes flow in a half-space. We present a fast summation method for sums involving these half-space Green's functions (stokeslets, stresslets and…

Numerical Analysis · Mathematics 2019-11-19 Shriram Srinivasan , Anna-Karin Tornberg

The lack of long-range electrostatics is a key limitation of modern machine learning interatomic potentials (MLIPs), hindering reliable applications to interfaces, charge-transfer reactions, polar and ionic materials, and biomolecules. In…

Computational Physics · Physics 2025-12-23 Dongjin Kim , Bingqing Cheng

Optimal exploitation of supercomputing resources for the evaluation of electrostatic forces remains a challenge in molecular dynamics simulations of very large systems. The most efficient methods are currently based on particle-mesh Ewald…

Computational Physics · Physics 2025-09-23 Federica Troni , Davide Grassano , Jayashree Narayan , Benoît Roux , Sara Bonella

Most current machine learning interatomic potentials (MLIPs) rely on short-range approximations, without explicit treatment of long-range electrostatics. To address this, we recently developed the Latent Ewald Summation (LES) method, which…

Chemical Physics · Physics 2025-07-22 Dongjin Kim , Xiaoyu Wang , Peichen Zhong , Daniel S. King , Theo Jaffrelot Inizan , Bingqing Cheng

We analyze deficiencies of commonly used Coulomb approximations in Generalized Born solvation energy calculation models and report a development of a new fast surface-based method (FSBE) for numerical calculations of the solvation energy of…

Quantitative Methods · Quantitative Biology 2009-10-14 P. O. Fedichev , G. N. Getmantsev , L. I. Menshikov