Get started
Keyword

zero stability

Description: A stability property of numerical methods for solving ordinary differential equations, concerning whether small perturbations in starting values remain controlled.
Wikidata ID: wiki/Q111913479
OpenAlex ID: keywords/zero-stability
Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems
2008 · Choice Reviews Online · 969
Zeros of sampled systems
1984 · K.J. Åström, P. Hagander, et al. · Automatica · 895
Block methods for second order odes
1991 · Simeon Ola Fatunla · International Journal of Computer Mathematics · 205
Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems (Classics in Applied Mathematics Classics in Applied Mathemat)
2007 · Randall J. LeVeque · Society for Industrial and Applied Mathematics eBooks · 194
An optimized two-step hybrid block method for solving general second order initial-value problems
2015 · Higinio Ramos, Z. Kalogiratou, et al. · Numerical Algorithms · 156
Zeros of sampled systems
1980 · K. Astrom, P. Hagander, et al. · IEEE Conference on Decision and Control including the Symposium on Adaptive Processes (CDC) · 147
Phase-fitted and amplification-fitted two-step hybrid methods for y″=f(x,y)
2006 · Hans Van de Vyver · Journal of Computational and Applied Mathematics · 127
PDF
An adaptive BDF2 implicit time-stepping method for the phase field crystal model
2020 · Hong-lin Liao, Bingquan Ji, et al. · IMA Journal of Numerical Analysis · 107
PDF
General four-step discrete-time zeroing and derivative dynamics applied to time-varying nonlinear optimization
2018 · Yunong Zhang, Liu He, et al. · Journal of Computational and Applied Mathematics · 97
Novel Discrete-Time Recurrent Neural Networks Handling Discrete-Form Time-Variant Multi-Augmented Sylvester Matrix Problems and Manipulator Application
2020 · Yang Shi, Long Jin, et al. · IEEE Transactions on Neural Networks and Learning Systems · 90
Message Passing Neural PDE Solvers
2022 · Brandstetter, Johannes, Worrall, Daniel, et al. · arXiv (Cornell University) · 78
PDF
Implementation of the One-Step One-Hybrid Block Method on the Nonlinear Equation of a Circular Sector Oscillator
2020 · M. Farhan, Z. Omar, et al. · Computational Mathematics and Modeling · 75
Stability of zeros of sampled systemwith fractional order hold
1996 · M. Ishitobi · IEE Proceedings - Control Theory and Applications · 72
Novel coupling Rosenbrock‐based algorithms for real‐time dynamic substructure testing
2007 · O. S. Bursi, A. Gonzalez‐Buelga, et al. · Earthquake Engineering & Structural Dynamics · 64
Beam Current Transformer with D. C. to 200 MHz Range
1969 · K. Unser · IEEE Transactions on Nuclear Science · 62
PDF
Two new designs of 'field mill' type fieldmeters not requiring earthing of rotating chopper
1990 · J.N. Chubb · IEEE Transactions on Industry Applications · 61
Variable Step-Size Implicit-Explicit Linear Multistep Methods for Time-Dependent Partial Differential Equations
2008 · Dong Wang, Steven J. Ruuth · Journal of Computational Mathematics · 59
PDF
A new adaptive nonlinear numerical method for singular and stiff differential problems
2023 · Sania Qureshi, Moses Adebowale Akanbi, et al. · Alexandria Engineering Journal · 57
Co-simulation for performance prediction of integrated building and HVAC systems – An analysis of solution characteristics using a two-body system
2010 · Marija Trčka, Jan L.M. Hensen, et al. · Simulation Modelling Practice and Theory · 54
General Square-Pattern Discretization Formulas via Second-Order Derivative Elimination for Zeroing Neural Network Illustrated by Future Optimization
2018 · Jian Li, Yunong Zhang, et al. · IEEE Transactions on Neural Networks and Learning Systems · 53
Explicit two-step peer methods
2007 · Rüdiger Weiner, Katja Biermann, et al. · Computers & Mathematics with Applications · 52
On the zero-stability of variable stepsize multistep methods: the spectral radius approach
2001 · N. Guglielmi, M. Zennaro · Numerische Mathematik · 52
An algorithm for finding extremal polytope norms of matrix families
2007 · Nicola Guglielmi, Marino Zennaro · Linear Algebra and its Applications · 51
PDF
Rosenbrock-type ‘Peer’ two-step methods
2004 · H. Podhaisky, R. Weiner, et al. · Applied Numerical Mathematics · 48
Improving the stability properties of the zeros of sampled systems with fractional order hold
2000 · R. Bárcena, M. de la Sen, et al. · IEE Proceedings - Control Theory and Applications · 48
Works count: 853
Citation count: 7,283
Year
Topic
Type