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The mathematical breakthrough that could free millions of supercomputer hours
The mathematical breakthrough that could free millions of supercomputer hours
How HPC is connecting natural fusion in thunderstorms to the future of clean energy
How HPC is connecting natural fusion in thunderstorms to the future of clean energy
Supercomputers challenge the origin story of cosmic explosions
Supercomputers challenge the origin story of cosmic explosions
Supercomputers trace a cosmic chain reaction from primordial black holes to the elements of life
Supercomputers trace a cosmic chain reaction from primordial black holes to the elements of life
The next challenge for supercomputing isn’t faster AI, it’s public trust
The next challenge for supercomputing isn’t faster AI, it’s public trust
From Euro 2024 to World Cup 2026: How supercomputers are turning soccer into a computational science
From Euro 2024 to World Cup 2026: How supercomputers are turning soccer into a computational science
AI, high-performance computing bring precision brain cancer diagnosis within reach
AI, high-performance computing bring precision brain cancer diagnosis within reach
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Featured

The mathematical breakthrough that could free millions of supercomputer hours

Deck June 24, 2026, 10:00 am
Flatiron Institute researchers achieve up to a sevenfold acceleration in MD simulations, opening new possibilities for drug discovery, materials science, exaflops computing
 
In the race toward faster supercomputers, the most significant breakthroughs often arise not from hardware innovation but from mathematical ingenuity. Researchers at the Simons Foundation's Flatiron Institute have achieved a milestone by developing a computational technique that accelerates molecular dynamics simulations by 2.5× to 7× without compromising scientific accuracy. Specifically, they realized a fivefold speedup in GROMACS, the world's most widely used molecular dynamics software. Given that molecular simulations consume over 20 percent of the processing power on the world’s 500 fastest supercomputers, fueling critical research in pharmaceuticals, battery technology, and materials science, this breakthrough represents more than a mere optimization; it effectively unlocks millions of supercomputing hours for the community.

Why does molecular dynamics require so much computing power?

Molecular dynamics (MD) simulations seek to predict how atoms and molecules move through time. Scientists use them to model everything from proteins interacting with drugs to ions flowing through battery electrolytes. The challenge is that molecular motion occurs on extraordinarily short timescales. To capture atomic vibrations accurately, simulations must evaluate the system in timesteps measured in femtoseconds, quadrillionths of a second. Meaningful simulations often require billions or even trillions of these steps. The computational burden becomes staggering when researchers attempt to model realistic systems.
 
A modern simulation may contain millions of atoms, each interacting with thousands of neighbors. The greatest challenge comes from long-range electrostatic forces. Every charged particle exerts influence on every other charged particle, creating a computational problem whose complexity grows rapidly as system size increases. Even on today's most powerful supercomputers, simulations frequently require days or weeks of runtime to reach biologically relevant timescales. For decades, researchers have focused on hardware improvements to address the challenge. The Flatiron team instead looked to mathematics.

Revisiting a Classical Mathematical tool

The breakthrough emerged from an unlikely source: a classical mathematical function whose origins predate modern computing by generations. Researchers from the Flatiron Institute's Center for Computational Mathematics recognized that a more efficient representation of long-range electrostatic interactions could dramatically reduce the computational effort required during each simulation step. Rather than redesigning molecular dynamics software from scratch, they developed a method that can be integrated into existing simulation workflows with relatively modest modifications.
 
The result is unusual in modern HPC. Many performance improvements require new hardware architectures, specialized accelerators, or extensive code rewrites. This advance instead arises from a deeper mathematical understanding of the underlying equations. It is a reminder that algorithmic innovation often delivers greater gains than hardware scaling alone.

Mathematics versus Moore's Law

For much of the past half-century, computational science benefited from predictable hardware improvements. Researchers could often expect future processors to solve problems faster without changing their algorithms. As transistor scaling slows and energy efficiency becomes a dominant concern, that era is gradually coming to an end. Increasingly, the future of scientific computing depends on smarter mathematics. The Flatiron achievement illustrates this shift perfectly.
 
A sevenfold speed increase obtained through mathematical reformulation effectively delivers the equivalent of several hardware generations of improvement without manufacturing a single new processor. The energy savings could be equally significant because fewer floating-point operations translate directly into lower power consumption and reduced operating costs. For supercomputing centers managing tens of megawatts of power demand, such efficiency gains are becoming as important as raw performance.

Implications for exascale science

The timing is particularly significant as researchers increasingly deploy exaflops systems capable of performing more than one quintillion calculations per second. Exascale machines provide unprecedented computational capability, but they also expose new bottlenecks. Many scientific applications struggle to utilize these systems efficiently because communication, memory access, and algorithmic complexity become limiting factors. Reducing computational workload by factors of five or more can often generate larger practical gains than adding additional hardware.
 
For molecular dynamics, that means researchers can choose between two valuable outcomes:
  • Run the same simulations dramatically faster.
  • Run far larger and more detailed simulations within existing computational budgets.
The second possibility may prove transformational. Scientists could model larger proteins, more realistic cellular environments, advanced battery chemistries, or longer biological processes that previously remained computationally inaccessible.

Accelerating drug discovery and materials innovation

Few scientific fields stand to benefit more than drug discovery. Modern pharmaceutical research increasingly relies on molecular simulation to understand how candidate compounds interact with biological targets. These calculations help identify promising therapies before expensive laboratory testing begins.
 
Similarly, materials scientists use molecular dynamics to investigate catalysts, semiconductors, polymers, and next-generation energy storage systems. Each additional nanosecond of simulated molecular behavior can reveal previously hidden phenomena. A fivefold speed increase effectively expands the scientific horizon by allowing researchers to explore longer timescales, larger systems, and broader design spaces. The impact could ripple through industries ranging from biotechnology to aerospace.

A victory for computational mathematics

Perhaps the most inspiring aspect of the work is what it says about the role of mathematics in modern computing. The popular image of supercomputing often focuses on towering racks of processors, advanced GPUs, and massive data centers. Yet behind every successful simulation lies a mathematical framework determining how efficiently those machines operate. The Flatiron Institute's achievement demonstrates that some of the most important advances in exascale computing may originate not in semiconductor fabrication facilities but in mathematical research groups. As the scientific community pushes toward increasingly ambitious simulations, from digital twins of living cells to atomistic models of future batteries, the importance of computational mathematics will only grow.

The next frontier

The researchers believe their approach can be integrated broadly into existing molecular simulation software, potentially offering immediate benefits to scientists worldwide. If widely adopted, this method could become one of the most consequential computational science advances of the decade, not by introducing new hardware, but by enabling existing supercomputers to accomplish significantly more. In an era increasingly defined by the pursuit of exaflops performance, the Flatiron team's work serves as a powerful reminder that the fastest path forward is sometimes found not in building a larger machine, but in discovering a better equation.
Featured

How HPC is connecting natural fusion in thunderstorms to the future of clean energy

Tyler O'Neal, Staff Editor June 23, 2026, 5:00 am
Virginia Tech researchers have advanced fusion energy modeling by developing machine-learning-assisted, reduced-order models of electron-temperature-gradient (ETG) turbulence within the Wendelstein 7-X stellarator. By integrating active learning, gyrokinetic simulations, and large-scale HPC resources, leveraging massive datasets from the GENE-KNOSOS-Tango framework, the team successfully analyzed plasma behavior across seven radial locations. Their models, built on three critical parameters (normalized electron temperature gradients, density-gradient relationships, and electron-to-ion temperature ratios) and refined through an active-learning framework using 10,000 bootstrap samples per iteration, achieved prediction errors below 18%. These findings demonstrate a robust capacity for generalization across multiple operating regimes, marking a significant step in accelerating the design of future fusion reactors.

Machine learning meets fusion physics

Perhaps the most remarkable aspect of the work is the efficiency gain. Traditional gyrokinetic simulations may consume thousands of CPU hours to evaluate a single plasma configuration. By training reduced-order models on carefully selected simulation data, researchers can reproduce key transport predictions at a fraction of the computational cost. The active-learning procedure required training sets containing only 104 to 190 carefully selected samples, despite validation datasets containing hundreds more points at each radial location.
 
This represents a growing trend throughout computational science. Rather than replacing physics-based simulations, artificial intelligence is increasingly being used to identify the most informative simulations, accelerate parameter exploration, and construct predictive surrogate models. For fusion research, this capability could dramatically shorten design cycles for future reactors.

A global supercomputing effort

The computational infrastructure supporting the stellarator research spans multiple continents. The simulation campaign utilized some of the world’s most powerful scientific computing systems, including the LUMI supercomputer in Finland, the Frontera system in the United States, the Leonardo and Marconi 100 in Italy, and the Raven in Germany. The use of multiple leadership-class systems underscores how fusion science increasingly depends upon international HPC collaborations. Modern fusion research is no longer confined to experimental facilities alone. It also occurs inside some of the world’s largest supercomputers.

From Nature’s fusion experiments to humanity’s energy future

The connection between lightning-induced fusion and stellarator turbulence may not be immediately obvious. One occurs naturally in thunderstorms. The other unfolds inside carefully engineered magnetic confinement systems. Yet both are governed by the same underlying laws of plasma physics. Both require sophisticated numerical methods to understand. And both increasingly rely upon machine learning and high-performance computing to transform theory into predictive science.
 
The lesson is inspirational. Nature has been conducting fusion experiments for billions of years, in stars, supernovae, and perhaps even thunderstorms. Today, through supercomputing, humanity is learning not merely to observe those processes but to understand them, simulate them, and ultimately harness them. The path to commercial fusion energy will not be built solely with magnets, lasers, or reactor vessels. It will also be built with algorithms, machine learning, and the extraordinary computational power of the world’s fastest supercomputers. Every simulation brings us one step closer to reproducing the power of the stars here on Earth.
Featured

Supercomputers challenge the origin story of cosmic explosions

Deck June 18, 2026, 9:00 am

Los Alamos simulations reveal that some of the universe's most powerful gamma-ray bursts may forge heavy elements without neutron-star collisions

For nearly a decade, astronomers believed they had solved one of the great mysteries of cosmic alchemy, attributing the production of the universe’s heaviest elements, such as gold and platinum, primarily to kilonovae from colliding neutron stars. This consensus was further solidified by the landmark 2017 detection of gravitational waves from such a merger.
 
However, new research from Los Alamos National Laboratory, published in The Astrophysical Journal Letters, challenges this narrative. A team led by Marko Ristić demonstrates through advanced supercomputing simulations that long-duration gamma-ray bursts, some of the most energetic explosions in existence, can produce kilonova-like signatures without requiring a neutron-star merger. Instead, the team proposes that collapsing massive stars, or "collapsars," can generate these characteristic optical and infrared emissions via a previously overlooked nucleosynthesis mechanism within their relativistic jets. This discovery is more than a mere astrophysical curiosity; it highlights how modern high-performance computing is fundamentally transforming our understanding of the cosmic origins of the elements.

Rewriting the story of gamma-ray bursts

Gamma-ray bursts (GRBs) are brief flashes of extraordinarily energetic radiation capable of releasing more energy in seconds than the Sun will emit during its entire lifetime. For decades, astronomers divided GRBs into two categories: short bursts produced by compact-object mergers and long bursts generated by collapsing massive stars. Observations of GRB 211211A and GRB 230307A complicated that picture. Although both events lasted roughly 40 seconds, far longer than typical merger-driven bursts, they exhibited infrared signatures resembling kilonovae, leading many researchers to conclude they originated from neutron-star mergers. The Los Alamos team questioned that assumption.
 
Their work proposes that the observed emission can be reproduced by a collapsar, a rapidly rotating massive star collapsing into a black hole while launching relativistic jets through its interior. Rather than producing heavy elements through tidal disruption of neutron stars, the model creates neutron-rich conditions within the jet and the surrounding cocoon.

The computational challenge

Testing that idea required a computational effort spanning multiple physics domains. Researchers combined nuclear reaction networks, magnetohydrodynamic simulations, Bayesian inference techniques, radiative transfer calculations, and large-scale parameter exploration. The project united scientists from Los Alamos' Theoretical Division, Computational Division, and Center for Theoretical Astrophysics.
 
At the heart of the study was the Portable Routines for Integrated nucleoSynthesis Modeling (PRISM) framework, which simulated the creation of heavy elements through rapid neutron-capture processes. The calculations explored how intense photon fields inside collapsar jets generate neutrons that subsequently seed nucleosynthesis in the surrounding cocoon. The researchers modeled both weak and full r-process scenarios and calculated the resulting radioactive heating over time. Those outputs became inputs for another computationally intensive stage: radiation transport simulations.

Monte Carlo radiation transport at scale

To predict what astronomers should observe, the team employed Los Alamos' SuperNu code, a sophisticated Monte Carlo radiation transport framework widely used in transient astrophysics. SuperNu follows millions of photon packets as they interact with expanding ejecta, accounting for absorption, emission, scattering, radioactive heating, and detailed atomic opacities. The simulations used high-fidelity opacity tables generated by Los Alamos atomic physics codes and modeled spectra across wavelengths ranging from ultraviolet through infrared. The computational workflow produced synthetic observations that could be directly compared with telescope data from GRB 211211A and GRB 230307A.
 
Rather than relying on simplified analytical approximations, the researchers simulated the detailed microphysics governing how light emerges from expanding stellar debris. The result was remarkable. A single weak-r-process ejecta component reproduced both the optical and infrared observations associated with the two gamma-ray bursts.

Machine learning accelerates discovery

The study also demonstrates how artificial intelligence and statistical computing are becoming essential tools for modern astrophysics. The team generated dozens of high-fidelity SuperNu simulations across a wide range of ejecta masses and velocities. Because running radiation transport calculations for every possible parameter combination would be prohibitively expensive, researchers trained Gaussian Process surrogate models to emulate the simulation outputs. These surrogate models enabled rapid Bayesian inference using the RIFT parameter-estimation framework, allowing the team to explore vast parameter spaces while preserving the accuracy of the underlying simulations.
 
This combination of supercomputing and machine-learning acceleration represents an increasingly common pattern across computational science, where advanced simulations generate data and AI-driven techniques help scientists navigate the resulting complexity.

Simulating a cosmic magnetic sieve

One of the study's most innovative computational components appears in its appendix. The researchers developed a three-fluid, two-dimensional magnetohydrodynamic simulation that tracks protons, neutrons, and alpha particles inside collapsar jets. The simulation investigated a phenomenon the team calls a magnetic "sieve." Strong magnetic fields trap charged particles near the jet core while allowing neutral neutrons to migrate into the surrounding cocoon. Under sufficiently intense magnetic fields, approaching 10¹² gauss, the resulting environment becomes neutron-rich enough to sustain rapid neutron-capture nucleosynthesis.
 
The simulation solved coupled continuity, momentum, energy, transport, and magnetic induction equations using an implicit-explicit numerical approach designed for stiff plasma systems. Without modern high-performance computing resources, such calculations would be effectively impossible.

A new view of cosmic element factories

Perhaps the most surprising conclusion is that a red kilonova does not necessarily imply the creation of the heaviest r-process elements. The team's simulations show that a weak r-process producing elements only up to approximately mass number 130 can generate the observed red evolution traditionally interpreted as evidence for lanthanide production. In other words, astronomers may need to reconsider some long-standing assumptions about how heavy elements are identified in explosive transients. If confirmed, the discovery could reshape our understanding of how the universe manufactures many of its elements.

Supercomputing as a cosmic lab

The broader significance of the work extends well beyond gamma-ray bursts. The study exemplifies how supercomputing has become a primary scientific instrument. Researchers combined nuclear physics, plasma physics, radiation transport, machine learning, Bayesian statistics, and astrophysical modeling into a single computational framework capable of testing ideas that cannot be reproduced in any terrestrial laboratory. The calculations relied on resources provided through Los Alamos National Laboratory's Institutional Computing Program, underscoring the increasingly central role of advanced computing infrastructure in modern astrophysical discovery.
 
A generation ago, astronomers could only observe the universe. Today, they can recreate it. And as this Los Alamos research demonstrates, the next breakthrough in understanding the origin of the elements may emerge not from a telescope alone, but from the convergence of supercomputing, artificial intelligence, and computational physics operating at unprecedented scale. The universe still holds many secrets. Increasingly, supercomputers are becoming the tools that allow us to uncover them.
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