Results 171 to 180 of about 20,294 (194)

Stability of variable and random stepsize LMS

1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002
The stability of variable stepsize LMS (VSLMS) algorithms with uncorrelated stationary Gaussian data is studied. It is found that when the stepsize is determined by the past data, the boundedness of the step size by the usual stability condition of fixed stepsize LMS is sufficient for the stability of VSLMS.
S.B. Gelfand, null Yongbin Wei, J.V. Krogmeier   +2 more
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Variable-stepsize Runge–Kutta methods for stochastic Schrödinger equations

Physics Letters A, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wilkie, Joshua, Çetinbaş, Murat
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Time-transformations for reversible variable stepsize integration

Numerical Algorithms, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bond, Stephen D., Leimkuhler, Benedict J.   +1 more
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Reversible Long-Term Integration with Variable Stepsizes

SIAM Journal on Scientific Computing, 1997
The problem \(y'=f(y)\), \(y(0)=y_0\) is called \(\rho\)-reversible \((\rho\) is an invertible linear transformation in the phase space) if for all \(y\) the equation \(f(\rho y)= -\rho f(y)\) holds. Some Hamiltonian systems belong to this category.
Hairer, Ernst, Stoffer, Daniel
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Supplement to Construction of Variable-Stepsize Multistep Formulas

Mathematics of Computation, 1986
Supplement to the author's paper in ibid. 47, 503-510 (1986; reviewed above).
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Variable order and stepsize in general linear methods

Numerical Algorithms, 2019
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Ahmad, Saghir, Butcher, J. C., Sweatman, Winston L.   +2 more
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Variable stepsize variable formula methods based on predictor-corrector schemes

Applied Numerical Mathematics, 1985
The use of fairly general predictor-corrector (PC) schemes of linear multistep (LM) formulae in the numerical solution of systems of ODE's is considered. It is assumed that both the stepsize and the PC scheme can be varied during the computational process.
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Zero-stability properties of the three-ordinate variable stepsize variable formula methods

Numerische Mathematik, 1981
Consider the systemy?=f(x,y),y(a)=?,x?[a,b],y?R n wheref is continuous and Lipschitzian with respect to the second argument. Very often linear multistep variable stepsize variable formula methods (LM VSVFM's) are used to computey k?y(xk) on the points of the grid:a=x ...
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Variable Stepsizes in Symmetric Linear Multistep Methods

2001
It is well known the great deal of advantages of integrating reversible systems with symmetric methods. The correct qualitative behaviour is imitated, which leads also to quantitative advantageous properties with respect to the errors and their growth with time.
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Variable stepsize implicit-explicit general linear methods

2019
Many practical problems in science and engineering are modeled by large systems of ordinary differential equations (ODEs) with additive vector field, whose terms have different stiffness properties. Such a systems can often be written in the form y'(t) = f(y(t))+ g(y(t)), t in [t0, T], y(t0) = y0; y0 in Rm, f: Rm in Rm, g: Rm in Rm, where f(y ...
Angelamaria Cardone, Giuseppe Izzo, Zdzislaw Jackiewicz   +2 more
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