Trending Research
An SPH formulation for general plate and shell structures with finite deformation and large rotation
To resolve the geometric non-linearity and capture finite deformation and large rotation, two reduced-dimensional linear-reproducing correction matrices are introduced, and weighted non-singularity conversions between the rotation angle and pseudo normal are formulated.
Numerical Analysis Computational Engineering, Finance, and Science Numerical Analysis
Preconditioned Nonlinear Conjugate Gradient Method for Real-time Interior-point Hyperelasticity
Furthermore, we simplify and accelerate the computations of Jacobi preconditioning and Hessian-vector product for hyperelasticity and barrier function.
Optimization and Control Graphics
acados: a modular open-source framework for fast embedded optimal control
The acados software package is a collection of solvers for fast embedded optimization, intended for fast embedded applications.
Optimization and Control
Implementing Hadamard Matrices in SageMath
The Hadamard conjecture states that Hadamard matrices of order $n$ exist whenever $n$ is $1$, $2$, or a multiple of $4$.
Combinatorics
Diffusion Geometry
We construct statistical estimators for these objects from a sample of data, and so introduce a whole family of new methods for geometric data analysis and computational geometry.
Metric Geometry Algebraic Topology
Gromov-Wasserstein Distances between Gaussian Distributions
MaximeVandegar/Papers-in-100-Lines-of-Code
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We also study the problem without restriction on the optimal plan, and provide lower and upper bounds for the value of the Gromov-Wasserstein distance between Gaussian distributions.
Probability
Optimistix: modular optimisation in JAX and Equinox
We introduce Optimistix: a nonlinear optimisation library built in JAX and Equinox.
Optimization and Control Mathematical Software
Optimization-Based Autonomous Racing of 1:43 Scale RC Cars
This paper describes autonomous racing of RC race cars based on mathematical optimization.
Optimization and Control Robotics Systems and Control
PySINDy: A Python package for the Sparse Identification of Nonlinear Dynamics from Data
PySINDy is a Python package for the discovery of governing dynamical systems models from data.
Dynamical Systems Computational Physics
Multilevel domain decomposition-based architectures for physics-informed neural networks
Our numerical results show that the proposed multilevel FBPINNs consistently and significantly outperform PINNs across a range of problems with high frequency and multi-scale solutions.
Numerical Analysis Numerical Analysis
