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Keyword

A-stability

Description: A-stability is a stability property of numerical methods for differential equations, requiring stability across the entire left half of the complex plane.
Wikidata ID: wiki/Q65926322
OpenAlex ID: keywords/a-stability
Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
1977 · Roger Alexander · SIAM Journal on Numerical Analysis · 675
Mean-Square and Asymptotic Stability of the Stochastic Theta Method
2000 · Desmond J. Higham · SIAM Journal on Numerical Analysis · 374
On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
1974 · A. Prothero, A. Robinson · Mathematics of Computation · 346
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A NEW DIFFERENCE SCHEME FOR PARABOLIC PROBLEMS**This work was supported by the U. S. Army Research Office, Durham, under Contract DAHC 04-68-C-0006.
1971 · Herbert B. Keller · Elsevier eBooks · 333
Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
1979 · Peter Kaps, Peter Rentrop · Numerische Mathematik · 323
Differential Equations and Dynamical Systems
2002 · Galves, A., Hale, J., et al. · American Mathematical Society eBooks · 306
Stability Criteria for Implicit Runge–Kutta Methods
1979 · Kevin Burrage, J. C. Butcher · SIAM Journal on Numerical Analysis · 295
Implicit single-sequence methods for integrating orbits
1974 · Edgar Everhart · Celestial Mechanics and Dynamical Astronomy · 258
Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
1970 · Werner Liniger, Ralph A. Willoughby · SIAM Journal on Numerical Analysis · 246
Numerical methods for nonlinear stochastic differential equations with jumps
2005 · Desmond J. Higham, Peter.E. Kloeden · Numerische Mathematik · 242
Order stars and stability theorems
1978 · G. Wanner, E. Hairer, et al. · BIT Numerical Mathematics · 241
Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
1985 · Ch. Lubich · Mathematics of Computation · 230
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G-stability is equivalent toA-stability
1978 · Germund Dahlquist · BIT Numerical Mathematics · 221
Implicit Time Integration Schemes for the Unsteady Compressible Navier–Stokes Equations: Laminar Flow
2002 · Hester Bijl, Mark H. Carpenter, et al. · Journal of Computational Physics · 216
A stability property of implicit Runge-Kutta methods
1975 · J. C. Butcher · BIT Numerical Mathematics · 174
One-Step Piecewise Polynomial Galerkin Methods for Initial Value Problems
1972 · Bernie L. Hulme · Mathematics of Computation · 146
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A Fast Spectral Algorithm for Nonlinear Wave Equations with Linear Dispersion
1999 · Bengt Fornberg, Tobin A. Driscoll · Journal of Computational Physics · 136
Special stability problems for functional differential equations
1975 · V. K. Barwell · BIT Numerical Mathematics · 130
Some relationships between implicit Runge-Kutta, collocation and Lanczosτ methods, and their stability properties
1970 · K. Wright · BIT Numerical Mathematics · 119
High order a-stable methods for the numerical solution of systems of D.E.'s
1968 · Byron L. Ehle · BIT Numerical Mathematics · 113
A Quasi-Steady-State Solver for the Stiff Ordinary Differential Equations of Reaction Kinetics
2000 · David R. Mott, Elaine S. Oran, et al. · Journal of Computational Physics · 111
A-stable block implicit one-step methods
1972 · H. A. Watts, L. F. Shampine · BIT Numerical Mathematics · 105
A study of Rosenbrock-type methods of high order
1981 · P. Kaps, G. Wanner · Numerische Mathematik · 95
Second derivative methods with RK stability
2005 · J. C. Butcher, G. Hojjati · Numerical Algorithms · 89
A Stability Analysis of Convolution Quadraturea for Abel-Volterra Integral Equations
1986 · CH. LUBICH · IMA Journal of Numerical Analysis · 89
Works count: 1,159
Citation count: 14,500
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