Classical Numerical Solver

Follow this topic Ask about this topic

Recent momentum

+25%

5 papers in the last 28 days · 0.1% of indexed attention

Twelve weeks of publication activity for this topic as it is defined today.

Weekly history

Recent digests

What was published in this topic, kept on the site without email delivery.

Period ending 2026-09-21

3 new papers

A weekly snapshot of new work published in Classical Numerical Solver.

Period ending 2026-09-07

4 new papers

A weekly snapshot of new work published in Classical Numerical Solver.

72 papers

Latest in Classical Numerical Solver

Browse all topics →

Towards AI-enhanced control: a numerical technique for trajectory smoothing of a parallel robot for pancreatic surgery
Sep 17, 2026Iosif Birlescu, Alexandru Pusca, Bogdan Gherman +4Trajectory Prediction Classical Numerical Solver
Conservation Buys Stability and Factoring Buys Counterfactuals in Physical World Models
Sep 17, 2026Yufeng Wang, Parivesh Priye, Lu Wei +1Counterfactual Reasoning World Models
Timely Activation of Safety Filters via One-Step Reachability Expansion
Sep 15, 2026Javier BorquezSafety Filters Hamilton-Jacobi Reachability
Conditional Flow Matching for ML-Based Inverse Design Problems
Sep 1, 2026Juliana Felder, Milad Habibi, Soheyl Massoudi +1Generative Inverse Design Conditional Flow Matching
Learning PDE Time-Stepping with Neural Cellular Automata
Aug 31, 2026Esha Saha, Hao WangNeural Partial Differential Equation Solvers Partial Differential Equation Benchmarks
A matched-integrator evaluation of Hamiltonian neural networks on pendulum and Kepler dynamics
Aug 10, 2026Lenick Kemunto Nyabuto, Yae Ulrich Gaba, Birahim TeweHamiltonian Physics Hamiltonian
Large language models for partial differential equation workflows
Aug 4, 2026Han Wan, Rui Zhang, Hao SunNeural Partial Differential Equation Solvers Partial Differential Equation Benchmarks
MBO Scheme for Local Chan--Vese Segmentation
Aug 1, 2026Kevin Bui, Adina CiomagaRobust Segmentation Classical Numerical Solver
A Physics-Informed Neural Operator for Thermal Ranking of Low-Cost Wall Materials in Hot-Dry Climates
Jul 28, 2026Muhammad Akbar Khan, Fahim Raees, Ubaida FatimaConventional Physics-Informed Neural Networks Thermal Imaging
Learning Asymptotics with Convergence-Rate Guarantees using Linear Least Squares
Jul 25, 2026Christos N. EfremAsymptotics Convergence Analysis
From Score Learning to Discretized Sampling: An End-to-End Generalization Analysis of Diffusion Models
Jul 25, 2026Jinshu Huang, Yiming Jiang, Chunlin WuScore-Based Diffusion Model Generative
Data-Driven Diffusion Processes on Differential Forms via the Projected Ambient Connection Laplacian
Jul 25, 2026Alvaro Almeida Gomez, Jorge Duque FrancoGraph Laplacians Statistical Manifold
Generalized Neural Operator for Parametric and Boundary-Value Problems
Jul 24, 2026Ruoyan Li, Yizhou Sun, Wei WangNeural Operators Boundary Value Problems
Image Editing Models are Numerical Solvers
Jul 21, 2026Ulysse MizrahiImage Editing Classical Numerical Solver
Spatial Transport of Integration Error in Generative ODEs
Jul 17, 2026Songheng YinTraining-Inference Mismatch Classical Numerical Solver
From Diffusion to Reaction-Diffusion: A Dynamical-Systems View of Oversmoothing in Hypergraph Neural Networks
Jul 17, 2026Zhiheng Zhou, Mengyao Zhou, Yancheng Chen +3Hypergraphs Neural Network
Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin
Jul 16, 2026Yifan Chen, Xiaoou Cheng, Jonathan Niles-Weed +1Hamiltonian Monte Carlo Langevin Dynamics
Adaptive Runge-Kutta Step Control Buys Training Loss, Not Generalization: An Honest Compute-Matched Study of RK-Adam Optimizers
Jul 16, 2026Akhilesh GogikarAdam Learning Rates
Approximation of solutions of parameter-dependent problems by residual neural networks
Jul 15, 2026Ana CarpioNeural-Network Approximation Neural Network
Velocity Scheduled Flow Matching
Jul 13, 2026Vitalii BondarConditional Velocity Classical Numerical Solver
Learning to Discretize: Diffusion-Based Adaptive Mesh with Spectral Guidance
Jul 13, 2026Zixuan Shen, Bingchuan Wang, Zhi Wang +1Neural Partial Differential Equation Solvers Discretization
A Hyperbolic Neural Closure for M1 Radiation Transfer
Jul 11, 2026Bongseok Kim, Jiahao Zhang, Johannes Krotz +3Jacobian Classical Numerical Solver
Score Accuracy Along the Forward Diffusion Does Not Certify Numerical Stability in Diffusion Sampling
Jul 9, 2026Yiwei ZhouDiffusion Sampling Classical Numerical Solver
Generative wave propagator
Jul 5, 2026Shijun Cheng, Tariq AlkhalifahWave Full Waveform Inversion
Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer
Jun 30, 2026Zikang Yan, Xiao Wang, Qingquan Yang +6Plasma Shape Control Neural Operators
MSNN-LINet: Cross-Modal Learning via Continuous Linear Integration
Jun 30, 2026Gabriel ClingerCross-Modal Learning Convolutional
Beyond Trajectory Matching: Reflow with Marginal Distribution Alignment
Jun 28, 2026Chen Wang, Peiran Yun, Pan Xie +1Progressive Distillation Generative Models
Symplectic Neural Networks for learning Generalized Hamiltonians
Jun 25, 2026Harsh Choudhary, Vyacheslav Kungurtsev, Chandan Gupta +2Hamiltonian Neural Ordinary Differential Equations
Accelerated sampling using SamAdams variable timesteps and position-adaptive Langevin dynamics
Jun 25, 2026Benedict Leimkuhler, Peter A. WhalleyLangevin Dynamics Classical Numerical Solver
Deep numerical schemes for systems of Ergodic BSDEs with applications to regime-switching forward utilities
Jun 23, 2026Guillaume Broux-Quemerais, Sarah Kaakai, Anis Matoussi +1Stochastic Differential Equations Classical Numerical Solver
Physics-Informed Neural Operator for Speech Production Analysis
Jun 21, 2026Kazuya Yokota, Xinmeng Luan, Debasish Ray Mohapatra +2Vocalizations Consonants
A fast direct solver based neural network for solving PDEs
Jun 18, 2026Jashwanth Reddy Kadaru, Vaishnavi GujjulaNeural Partial Differential Equation Solvers Partial Differential Equations
The Integrator Advantage: Controlled Agentic AI for Small and Medium-Sized Companies
Jun 15, 2026Christopner Koch, Joshua A. WellbrockAgentic Systems Agentic Tool Use
AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies
Jun 9, 2026Huanshuo Dong, Keyao Zhang, Hong Wang +6Partial Differential Equation Benchmarks Classical Numerical Solver
A Theoretical Analysis of Memory and Overfitting Phenomena in Stochastic Interpolation Models
Jun 7, 2026Yunchen Li, Shaohui Lin, Zhou YuOverfitting Interpolation
Overcoming the Limits of Finite Difference Method; Physics-Informed Neural Network for Noisy High-Dimensional Heat Diffusion
Jun 6, 2026Shreesh Bhattarai, Harish Chandra BhandariConventional Physics-Informed Neural Networks Classical Numerical Solver
DAS-PINNs for high-dimensional partial differential equations: extending deep adaptive sampling to spacetime domains
Jun 4, 2026Anshima Singh, David J. SilvesterPartial Differential Equations Classical Numerical Solver
Error Bounds for a Diffusion Model-Based Drift Estimator
Jun 1, 2026Ioar Casado-Telletxea, Omar RivasplataStochastic Differential Equations Estimators
Scalable Bayesian Inference for Nonlinear Conservation Laws
May 29, 2026Tim Weiland, Philipp HennigReliable Uncertainty Quantification Ill-Posed Inverse Problem
PIDM-DP: Physics-Informed Diffusion with Dormand-Prince Integration for Chaotic System Identification and State Reconstruction across Multiple Dynamical Regimes
May 26, 2026Shailendra DabralOrdinary Differential Equations Classical Numerical Solver
Iterative Refinement Neural Operators are Learned Fixed-Point Solvers: A Principled Approach to Spectral Bias Mitigation
May 21, 2026Xiaotian Liu, Shuyuan Shang, Xiaopeng Wang +2Classical Numerical Solver Turbulence
Beyond Isotropy in JEPAs: Hamiltonian Geometry and Symplectic Prediction
May 19, 2026Robert Jenkinson AlvarezSphere-Jepa Joint-Embedding Predictive Architectures
A numerical study into neural network surrogate model performance for uncertainty propagation
May 15, 2026Noah Wade, Kirubel TeferraSurrogate Models Accurate Surrogate Models
U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics
May 13, 2026Yingzhe Ma, Xiao Yang, Yuxin Xie +2Neural Operators Partial Differential Equations
Improving Diffusion Posterior Samplers with Lagged Temporal Corrections for Image Restoration
May 12, 2026Davide Evangelista, Elena Morotti, Francesco Pivi +1Posterior Sampling Diffusion Sampling
Sharpen Your Flow: Sharpness-Aware Sampling for Flow Matching
May 12, 2026Aditi Gupta, Soon Hoe Lim, Annan Yu +1Velocity Field Sharpness-Aware Minimization
Distributed Pose Graph Optimization via Continuous Riemannian Dynamics
May 11, 2026Jaeho Shin, Maani Ghaffari, Yulun TianRiemannian Optimization Category-Level Object Pose Estimation
Haptic Rendering of Fractional-Order Viscoelasticity: Passivity and Rendering Fidelity
May 11, 2026Gorkem Gemalmaz, Harun Tolasa, Volkan Patoglu6-Dof Viscoelastic Mechanism Haptic Feedback
Multifidelity Gaussian process regression for solving nonlinear partial differential equations
May 11, 2026Fatima-Zahrae El-Boukkouri, Josselin Garnier, Olivier RoustantGaussian Process Classical Numerical Solver
TIDES: Implicit Time-Awareness in Selective State Space Models
May 10, 2026Taylan Soydan, Miguel A. Bessa, Dirk Mohr +1State Space Models Sequence Modeling
Physics-Informed Neural PDE Solvers via Spatio-Temporal MeanFlow
May 9, 2026Hanru Bai, Yuncheng Zhou, Difan ZouNeural Partial Differential Equation Solvers Classical Numerical Solver
Controlling Transient Amplification Improves Long-horizon Rollouts
May 9, 2026Adeel Pervez, Francesco LocatelloLong Rollouts Long-Horizon Forecasting
A meshfree exterior calculus for generalizable and data-efficient learning of physics from point clouds
May 8, 2026Benjamin D. Shaffer, Brooks Kinch, M. Ani Hsieh +1Meshes Partial Differential Equation Benchmarks
Learned Lagrangian Models of PDEs via Euler-Lagrange Residual Minimization
May 8, 2026Lyra Zhornyak, Eric Forgoston, M. Ani HsiehLagrangian Methods Classical Numerical Solver
EULER-ADAS: Energy-Efficient & SIMD-Unified Logarithmic-Posit Engine for Precision-Reconfigurable Approximate ADAS Acceleration
May 7, 2026Mukul Lokhande, Ratko Pilipovic, Omkar Kokane +2Energy-Efficient Acceleration
DBMSolver: A Training-free Diffusion Bridge Sampler for High-Quality Image-to-Image Translation
May 7, 2026Sankarshana Venugopal, Mohammad Mostafavi, Jonghyun ChoiImage-To-Image Translation Future Llm-Assisted Solver Development
Stability of the Monge Map in Semi-Dual Optimal Transport
May 7, 2026Anton Selitskiy, David MillardOptimal Transport Primal-Dual Methods
Hybrid Iterative Neural Low-Regularity Integrator for Nonlinear Dispersive Equations
May 6, 2026Zhangyong Liang, Huanhuan GaoClassical Numerical Solver
Differentiable Multiphysics Co-Optimization via Implicit Neural Representations: A Transient Hamburger-Cooking Benchmark
May 1, 2026Navid ZobeiryInformation-Geometric Optimization Llm-Based Optimization Modeling
Transformer as an Euler Discretization of Score-based Variational Flow
Apr 26, 2026Huadong LiaoTransformer Architectures Representation Learning

Sep 17, 2026 · cs.ROJ/K move · Enter open · S save

Towards AI-enhanced control: a numerical technique for trajectory smoothing of a parallel robot for pancreatic surgery

Iosif Birlescu, Alexandru Pusca, Bogdan Gherman, Calin Vaida+3

LS2N - équipe RoMas, LS2N · CESTER, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania · École Centrale Nantes, Nantes Université, CNRS, LS2N, UMR 6004, F-44000 Nantes, France · CESTER · Technical Sciences Academy of Romania, B-dul Dacia, 26, 030167 Bucharest, Romania

The paper presents a numerical approach for the end-effector trajectory smoothing of a parallel robot designed for minimally invasive pancreatic surgery. The approach is tailored for real-time master-slave control architecture and uses a 3D space mouse for command input for velocity control. The trajectory smoothing is achieved by generating S-curves in the end-effector velocity fields, thus controlling the accelerations, which in turn reduces tissue trauma in the minimally invasive procedures. Real-time control is enabled by segmenting the S-curves based on the command inputs from the 3D space mouse. A special case is considered where the acceleration time is constant for all command inputs. Numeric results demonstrate stable transitions (without abrupt changes) in both the end-effector parameter space and in the active joints parameters, thereby validating the proposed approach. Further work aims to test the approach on an experimental model and integrate it into AI-based training modules.

Trajectory Prediction Classical Numerical Solver

Open paper Ask about it PDF