Revealing Floating-Point Accumulation Orders in Software/Hardware Implementations
Fuente:
arXiv
Saved in:
| Main Authors: | Xie, Peichen, Gao, Yanjie, Wang, Yang, Xue, Jilong |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Evaluating Numerical Accuracy in Mixed-Precision Computing by Dual-Delta Testing
by: Xie, Peichen
Published: (2026)
by: Xie, Peichen
Published: (2026)
TypedMatrices.jl: An Extensible and Type-Based Matrix Collection for Julia
by: Zhang, Anzhi, et al.
Published: (2025)
by: Zhang, Anzhi, et al.
Published: (2025)
PyTracer: Automatically profiling numerical instabilities in Python
by: Chatelain, Yohan, et al.
Published: (2021)
by: Chatelain, Yohan, et al.
Published: (2021)
Accurate Residues for Floating-Point Debugging
by: He, Yumeng, et al.
Published: (2026)
by: He, Yumeng, et al.
Published: (2026)
Centrality Change Proneness: an Early Indicator of Microservice Architectural Degradation
by: Bakhtin, Alexander, et al.
Published: (2025)
by: Bakhtin, Alexander, et al.
Published: (2025)
Implementation of the Emulator-based Component Analysis
by: Vladyka, Anton, et al.
Published: (2023)
by: Vladyka, Anton, et al.
Published: (2023)
A Monadic, Functional Implementation of Real Numbers
by: O'Connor, Russell
Published: (2006)
by: O'Connor, Russell
Published: (2006)
Implementing a Restricted Function Space Class in Firedrake
by: Rothwell, Emma
Published: (2024)
by: Rothwell, Emma
Published: (2024)
PDE-Constrained High-Order Mesh Optimization
by: Kolev, Tzanio, et al.
Published: (2025)
by: Kolev, Tzanio, et al.
Published: (2025)
Implementation of QR factorization of tall and very skinny matrices on current GPUs
by: Thies, Jonas, et al.
Published: (2026)
by: Thies, Jonas, et al.
Published: (2026)
High-Order Lie Derivatives from Taylor Series in the ADTAYL Package
by: Nedialkov, Nedialko S., et al.
Published: (2026)
by: Nedialkov, Nedialko S., et al.
Published: (2026)
Mixed-Order Meshes through rp-adaptivity for Surface Fitting to Implicit Geometries
by: Mittal, Ketan, et al.
Published: (2024)
by: Mittal, Ketan, et al.
Published: (2024)
High-Order Mesh r-Adaptivity with Tangential Relaxation and Guaranteed Mesh Validity
by: Mittal, Ketan, et al.
Published: (2026)
by: Mittal, Ketan, et al.
Published: (2026)
Algorithm xxx: Faster Randomized SVD with Dynamic Shifts
by: Feng, Xu, et al.
Published: (2024)
by: Feng, Xu, et al.
Published: (2024)
Satire: Computing Rigorous Bounds for Floating-Point Rounding Error in Mixed-Precision Loop-Free Programs
by: Tirpankar, Tanmay, et al.
Published: (2025)
by: Tirpankar, Tanmay, et al.
Published: (2025)
A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling
by: Bonneville, Christophe, et al.
Published: (2024)
by: Bonneville, Christophe, et al.
Published: (2024)
Efficient space-time reduced order model for linear dynamical systems in Python using less than 120 lines of code
by: Kim, Youngkyu, et al.
Published: (2020)
by: Kim, Youngkyu, et al.
Published: (2020)
Multigrid methods for the Stokes problem on GPU systems
by: Cui, Cu, et al.
Published: (2024)
by: Cui, Cu, et al.
Published: (2024)
A Fully Adaptive Radau Method for the Efficient Solution of Stiff Ordinary Differential Equations at Low Tolerances
by: Ekanathan, Shreyas, et al.
Published: (2024)
by: Ekanathan, Shreyas, et al.
Published: (2024)
Mixed Precision Block-Jacobi Preconditioner: Algorithms, Performance Evaluation and Feature Analysis
by: Tian, Ningxi, et al.
Published: (2024)
by: Tian, Ningxi, et al.
Published: (2024)
Fast Mixed-Precision Real Evaluation
by: Yadrov, Artem, et al.
Published: (2024)
by: Yadrov, Artem, et al.
Published: (2024)
Differentiating Through Linear Solvers
by: Hovland, Paul, et al.
Published: (2024)
by: Hovland, Paul, et al.
Published: (2024)
High-performance finite elements with MFEM
by: Andrej, Julian, et al.
Published: (2024)
by: Andrej, Julian, et al.
Published: (2024)
Some new techniques to use in serial sparse Cholesky factorization algorithms
by: Karsavuran, M. Ozan, et al.
Published: (2024)
by: Karsavuran, M. Ozan, et al.
Published: (2024)
Approximations of the integral of a class of sinusoidal composite functions
by: Costa, Alberto
Published: (2024)
by: Costa, Alberto
Published: (2024)
Adaptive finite element methods based on flux and stress equilibration using FEniCSx
by: Brodbeck, Maximilian, et al.
Published: (2024)
by: Brodbeck, Maximilian, et al.
Published: (2024)
Transformations of Computational Meshes
by: Knepley, Matthew G.
Published: (2025)
by: Knepley, Matthew G.
Published: (2025)
Performance of linear solvers in tensor-train format on current multicore architectures
by: Röhrig-Zöllner, Melven, et al.
Published: (2023)
by: Röhrig-Zöllner, Melven, et al.
Published: (2023)
An abstraction for solving multi-domain problems using finite element methods
by: Sagiyama, Koki, et al.
Published: (2025)
by: Sagiyama, Koki, et al.
Published: (2025)
Acceleration of multi-component multiple-precision arithmetic with branch-free algorithms and SIMD vectorization
by: Kouya, Tomonori
Published: (2026)
by: Kouya, Tomonori
Published: (2026)
Faster arbitrary-precision dot product and matrix multiplication
by: Johansson, Fredrik
Published: (2019)
by: Johansson, Fredrik
Published: (2019)
Fast Mixed-Precision Real Evaluation
by: Yadrov, Artem, et al.
Published: (2025)
by: Yadrov, Artem, et al.
Published: (2025)
Mean and Variance Estimation by Kriging
by: Suslo, Tomasz
Published: (2004)
by: Suslo, Tomasz
Published: (2004)
Solving Multivariate Polynomial Systems and Rectangular Multiparameter Eigenvalue Problems with MacaulayLab
by: Vermeersch, Christof, et al.
Published: (2026)
by: Vermeersch, Christof, et al.
Published: (2026)
Performance of explicit and IMEX MRI multirate methods on complex reactive flow problems within modern parallel adaptive structured grid frameworks
by: Loffeld, John J., et al.
Published: (2022)
by: Loffeld, John J., et al.
Published: (2022)
BioNetFlux: A Python Framework for Reaction--Diffusion--Chemotaxis Simulations on One-Dimensional Network Geometries
by: Bertoluzza, Silvia
Published: (2026)
by: Bertoluzza, Silvia
Published: (2026)
ODE Test Problems: a MATLAB suite of initial value problems
by: Roberts, Steven, et al.
Published: (2019)
by: Roberts, Steven, et al.
Published: (2019)
MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs
by: Innerberger, Michael, et al.
Published: (2022)
by: Innerberger, Michael, et al.
Published: (2022)
Automated dimensional analysis for PDEs
by: Habera, Michal, et al.
Published: (2026)
by: Habera, Michal, et al.
Published: (2026)
Improving Interoperability in Scientific Computing via MaRDI Open Interfaces
by: Kabanov, Dmitry I., et al.
Published: (2025)
by: Kabanov, Dmitry I., et al.
Published: (2025)
Similar Items
-
Evaluating Numerical Accuracy in Mixed-Precision Computing by Dual-Delta Testing
by: Xie, Peichen
Published: (2026) -
TypedMatrices.jl: An Extensible and Type-Based Matrix Collection for Julia
by: Zhang, Anzhi, et al.
Published: (2025) -
PyTracer: Automatically profiling numerical instabilities in Python
by: Chatelain, Yohan, et al.
Published: (2021) -
Accurate Residues for Floating-Point Debugging
by: He, Yumeng, et al.
Published: (2026) -
Centrality Change Proneness: an Early Indicator of Microservice Architectural Degradation
by: Bakhtin, Alexander, et al.
Published: (2025)