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This paper describes the algorithms, features and implementation of PyDEC, a Python library for computations related to the discretization of exterior calculus. PyDEC facilitates inquiry into both physical problems on manifolds as well as…

Numerical Analysis · Computer Science 2012-02-28 Nathan Bell , Anil N. Hirani

Optimization problems associated with the interaction of linked particles are at the heart of polymer science, protein folding and other important problems in the physical sciences. In this review we explain how to recast these problems as…

A major trend in academia and data science is the rapid adoption of Bayesian statistics for data analysis and modeling, leading to the development of probabilistic programming languages (PPL). A PPL provides a framework that allows users to…

Instrumentation and Methods for Astrophysics · Physics 2021-02-15 James. W. Nightingale , Richard G. Hayes , Matthew Griffiths

Integrating topology optimization and additive manufacturing (AM) technology can facilitate innovative product development. However, laser powder bed fusion, which is the predominant method in metal AM, can lead to issues such as residual…

Computational Engineering, Finance, and Science · Computer Science 2024-12-19 Takao Miki

Advanced integration of logistics systems has been promoted for the sake of competitiveness and sustainability. Such efforts will enable more globally optimal and flexible operations by efficiently utilizing transportation capacity. At the…

Physics and Society · Physics 2022-03-29 Takahiro Ezaki , Naoto Imura , Katsuhiro Nishinari

Topology optimization is used for the design of high-performance structures but remains fundamentally limited by its iterative nature, requiring repeated finite element analyses that prevent real-time deployment and large-scale design…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Aaron Lutheran , Srijan Das , Alireza Tabarraei

With the increasing power density of electronics components, the heat dissipation capacity of heat sinks gradually becomes a bottleneck. Many structural optimization methods, including topology optimization, have been widely used for heat…

Fluid Dynamics · Physics 2021-10-07 Tao Zeng , Hu Wang , Mengzhu Yang , Joe Alexandersen

We present SymForce, a library for fast symbolic computation, code generation, and nonlinear optimization for robotics applications like computer vision, motion planning, and controls. SymForce combines the development speed and flexibility…

The robust truss topology optimization against the uncertain static external load can be formulated as mixed-integer semidefinite programming. Although a global optimal solution can be computed with a branch-and-bound method, it is very…

Optimization and Control · Mathematics 2019-01-25 Yoshihiro Kanno

relentless is an open-source Python package that enables the optimization of objective functions computed using molecular dynamics simulations. It has a high-level, extensible interface for model parametrization; setting up, running, and…

Soft Condensed Matter · Physics 2024-08-07 Adithya N Sreenivasan , C. Levi Petix , Zachary M. Sherman , Michael P. Howard

Code Language Models have been trained to generate accurate solutions, typically with no regard for runtime. On the other hand, previous works that explored execution optimisation have observed corresponding drops in functional correctness.…

Computation and Language · Computer Science 2025-02-06 Leonidas Gee , Milan Gritta , Gerasimos Lampouras , Ignacio Iacobacci

We propose a projection-based model order reduction procedure for a general class of parametric quasi-static problems in nonlinear mechanics with internal variables. The methodology is integrated in the industrial finite element code code…

Numerical Analysis · Mathematics 2023-01-02 Eki Agouzal , Jean-Philippe Argaud , Michel Bergmann , Guilhem Ferté , Tommaso Taddei

This study introduces Pedophysics, an open-source Python package designed to facilitate solutions for users who work in the field of soil assessment using near-surface geophysical electromagnetic techniques. At the core of this software is…

Geophysics · Physics 2024-03-13 Gaston Mendoza Veirana , Philippe De Smedt , Jeroen Verhegge , Wim Cornelis

In recent years, there has been increasing interest in network diffusion models and related problems. The most popular of these are the independent cascade and linear threshold models. Much of the recent experimental work done on these…

Social and Information Networks · Computer Science 2024-04-29 Eliot W. Robson , Dhemath Reddy , Abhishek K. Umrawal

This paper focuses on robustness to disturbance forces and uncertain payloads. We present a novel formulation to optimize the robustness of dynamic trajectories. A straightforward transcription of this formulation into a nonlinear…

Robotics · Computer Science 2020-08-04 Henrique Ferrolho , Wolfgang Merkt , Vladimir Ivan , Wouter Wolfslag , Sethu Vijayakumar

The maximum stress minimization problem is among the most important topics for structural design. The conventional gradient-based topology optimization methods require transforming the original problem into a pseudo-problem by relaxation…

Optimization and Control · Mathematics 2025-02-06 Misato Kato , Taisei Kii , Kentaro Yaji , Kikuo Fujita

This paper describes the numerical implementation in a high-performance computing environment of an open-source library for model order reduction in fluid dynamics. This library, called pyLOM, contains the algorithms of proper orthogonal…

We aim to solve a topology optimization problem where the distribution of material in the design domain is represented by a density function. To obtain candidates for local minima, we want to solve the first order optimality system via…

Optimization and Control · Mathematics 2026-01-08 P. Gangl , M. Winkler

This work presents a multilevel approach to large--scale topology optimization accounting for linearized buckling criteria. The method relies on the use of preconditioned iterative solvers for all the systems involved in the linear buckling…

Numerical Analysis · Mathematics 2020-03-03 Federico Ferrari , Ole Sigmund

Topology Optimization seeks to find the best design that satisfies a set of constraints while maximizing system performance. Traditional iterative optimization methods like SIMP can be computationally expensive and get stuck in local…

Machine Learning · Computer Science 2023-03-20 Giorgio Giannone , Faez Ahmed