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partial differential equation

Synonyms

Noun

1. differential equation

Usage
Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization - Nature
Long-Sought Proof Tames Some of Math’s Unruliest Equations - Quanta Magazine
AI tackles one of math's most brutal problems: Inverse PDEs - Phys.org
Penn engineers use AI to solve some of science’s most difficult math problems - The Brighter Side of News
Generative discovery of partial differential equations by learning from math handbooks - Nature
The Top Ten Differential Equations in Astronomy, Ranked! - Astrobites
Peter Lax - Britannica
High-concurrency tri-mode memristor-based ordinary differential equation solver - Nature
One-shot learning for solution operators of partial differential equations - Nature
The finite element neural network method to simulate two dimensional partial differential equations and perform parameter identification - Nature
Innovative Aboodh-based gractional analytical methods for nonlinear Burgers’ partial differential equations - Nature
Regime-adaptive partial differential equations for interpretable multi-ethnic urban modeling - Nature
Ordinary differential equation models of SARS-CoV-2 replication dynamics and antiviral drug efficacies - Nature
NeuberNet: a neural operator solving elastic-plastic partial differential equations at V-notches from low-fidelity elastic simulations | Communications Engineering - Nature
estimators for control of nonlinear parabolic partial differential equations - Nature
A variational framework for residual-based adaptivity in neural PDE solvers and operator learning - Nature
Using an ordinary differential equation model to separate rest and task signals in fMRI - Nature
Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics - Nature
Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling - Nature
Quantum Scheme Improves Differential Equation Modelling With Reduced Register Size - Quantum Zeitgeist
Teaching neural networks where errors matter - EurekAlert!
Parameter identification for PDEs using sparse interior data and a recurrent neural network - Nature
Continuous-time air pollutant forecasting using multi-timescale attention neural ordinary differential equations (MA-NODE) - Nature
Solving sparse finite element problems on neuromorphic hardware - Nature
Improving generalization ability of deep-learning-based ODE solvers using continuous dependence - Nature
Advanced fractional soliton solutions of the Joseph–Egri equation via Tanh–Coth and Jacobi function methods - Nature
A new hybrid block collocation method for solving elliptic PDEs - Nature
Two-Rank and Atomic Solutions of a Bateman–Burgers Type Equation via Functional Analytic Methods - Wiley Online Library
Evaluating the performance of classical, quantum, and hybrid quantum neural networks in solving differential equations - Nature
A multi-grained symmetric differential equation model for learning protein-ligand binding dynamics - Nature
Simplified Noon-Temperature Calculations for Planetary Bodies - eos.org
New AI method tackles one of science’s hardest math problems - ScienceDaily
WF-PINNs: solving forward and inverse problems of burgers equation with steep gradients using weak-form physics-informed neural networks - Nature
On the Possibility of Small Networks for Physics-Informed Learning - Towards Data Science
Neural operator for observer gains and output-feedback control of coupled PDE–ODE systems - Nature
Automated design for physics-informed modeling with convolutional neural networks - Nature
PDE-Driven Spatiotemporal Generative Modeling for Multilead ECG Synthesis - The Association for the Advancement of Artificial Intelligence
Mitigating catastrophic forgetting in lifelong learning: a hybrid architecture integrating neural ordinary differential equations with memory-augmented transformers - Nature
Student-Faculty Team Solves Difficult Mathematical Problem - News at IU
Temporal neural operator for modeling time-dependent physical phenomena - Nature
Optical neural engine for solving scientific partial differential equations - Nature
LightSolver Maps Partial Differential Equations onto Laser Processing Unit - HPCwire
An integrative phenotype-structured partial differential equation model for the population dynamics of epithelial-mesenchymal transition - Nature
A scalable framework for learning the geometry-dependent solution operators of partial differential equations - Nature
A fast quantum algorithm for solving partial differential equations - Nature
Pi-mfm Framework Enables Unified Physics-Informed PDE - Quantum Zeitgeist
Diffeomorphism neural operator for various domains and parameters of partial differential equations - Nature
Promising directions of machine learning for partial differential equations - Nature
Exact solutions for nonlinear partial differential equations via a fusion of classical methods and innovative approaches - Nature
Multi-resolution partial differential equations preserved learning framework for spatiotemporal dynamics - Nature
An efficient quantum partial differential equation solver with chebyshev points - Nature
AI Breakthrough Solves One of Science’s Most Challenging Math Problems - Bioengineer.org
Technique could efficiently solve partial differential equations for numerous applications - MIT News
Machine-learning-based spectral methods for partial differential equations - Nature
Learning emergent partial differential equations in a learned emergent space - Nature
Editorial: Approximation methods and analytical modeling using partial differential equations - Frontiers
LightSolver Announces Advance in Physical Modeling on the LPU and New Roadmap for Optical, Analog PDE Solving - The Quantum Insider
Low-rank tensor methods for partial differential equations | Acta Numerica | Cambridge Core - Cambridge University Press & Assessment
Discovery of Partial Differential Equations from Highly Noisy and Sparse Data with Physics-Informed Information Criterion - Science Partner Journals
For the Love of Partial Differential Equations: A Conversation with Franca Hoffmann - Caltech
Discovering new solutions to century-old problems in fluid dynamics - Google DeepMind
Fractional analysis of non-linear fuzzy partial differential equations by using a direct procedure - Nature
Multi-level physics informed deep learning for solving partial differential equations in computational structural mechanics - Nature
Data-driven discovery of partial differential equations - Science | AAAS
Royal Society awards Imperial Professor Sir Martin Hairer the Sylvester Medal - felixonline.co.uk
In-context operator learning with data prompts for differential equation problems - PNAS
Physics-enhanced deep surrogates for partial differential equations - Nature
Researchers Unlock Faster PDE Solutions For Complex Systems - Quantum Zeitgeist
Solving ordinary and partial differential equations using an analog computing system based on ultrasonic metasurfaces - Nature
Deep transfer operator learning for partial differential equations under conditional shift - Nature
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations - Nature
Efficient numerical analysis of nonlinear liquid dispersion pattern drops using Taylor wavelet collocation - Nature
Learning the solution operator of parametric partial differential equations with physics-informed DeepONets - Science | AAAS
A framework for solving parabolic partial differential equations - MIT News
Time parallelization for hyperbolic and parabolic problems | Acta Numerica | Cambridge Core - Cambridge University Press & Assessment
Propagation of optical solitons and dispersive solitary wave structure in complex media to the nonlinear integrable system via computational technique - Nature
Operator-Learning-Inspired Modeling of Neural Ordinary Differential Equations - The Association for the Advancement of Artificial Intelligence
Generalising quantum imaginary time evolution to solve linear partial differential equations - Nature
An improved data-free surrogate model for solving partial differential equations using deep neural networks - Nature
Physics-informed neural networks with hybrid Kolmogorov-Arnold network and augmented Lagrangian function for solving partial differential equations | Scientific Reports - Nature
UM Faculty of Science and Technology project awarded funding from NSFC Key Program - University of Macau
Physics-informed attention-based neural network for hyperbolic partial differential equations: application to the Buckley–Leverett problem - Nature
Crack Propagation Prediction Using Partial Differential Equations-Based Neural Network With Discovered Governing Equations - Wiley Online Library
Automatically discovering ordinary differential equations from data with sparse regression - Nature
Continuous-time digital twin with analog memristive neural ordinary differential equation solver - Science | AAAS
Numerical subgrid Bi-cubic methods of partial differential equations in image segmentation - Nature
Partial differential equations and stochastic methods in moleculardynamics* | Acta Numerica | Cambridge Core - Cambridge University Press & Assessment
Symbolic Neural Ordinary Differential Equations - The Association for the Advancement of Artificial Intelligence
A neural network-based PDE solving algorithm with high precision - Nature
ColibriTD Announces H-DES PDE Solver as a Step Toward Accessible Quantum Simulation in Engineering - The Quantum Insider
OIST mathematicians develop new math to forecast natural phenomena and detect early cancer development - EurekAlert!
Variational quantum evolution equation solver - Nature
New 'optical neural engine’ solves partial differential equations - EurekAlert!
Exploration on Physics-Informed Neural Networks on Partial Differential Equations (Student Abstract) - The Association for the Advancement of Artificial Intelligence
Elliptic PDE learning is provably data-efficient - PNAS
Sparse inference and active learning of stochastic differential equations from data - Nature
3 A PROCEDURE FOR GENERATING DISCRETIZATIONS ADAPTED TO THE PARTIAL DIFFERENTIAL EQUATION - Wiley Online Library
Splitting methods for differential equations - Cambridge University Press & Assessment
Electromagnetic waves solve partial differential equations - Physics World
RETRACTED ARTICLE: Partial differential equations of entropy analysis on ternary hybridity nanofluid flow model via rotating disk with hall current and electromagnetic radiative influences - Nature
Foreign Language Equivalents
Foreign Language Equivalents of 'partial differential equation'
Language Equivalent   Language Equivalent
French    Spanish
Misspellings - Typos
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a cappella singing a couple of a few
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