Results 291 to 300 of about 733,513 (333)

Numerical solution of singular Lyapunov equations

Numerical Linear Algebra with Applications, 2021
AbstractWe consider the numerical solution of large scale singular (continuous‐time) Lyapunov equations of the formAX + XA⊤ + BB⊤ = 0, whereAis semistable, that is, its spectrum is contained in the left half plane, with the exception of a few semisimple eigenvalues at zero. We also consider the case of a few semisimple eigenvalues on the imaginary axis.
Eric K.‐W. Chu, Daniel B. Szyld, Jieyong Zhou   +2 more
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Solutions with singularities as almost solutions

Doklady Mathematics, 2006
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Singularities in solutions of Burgers' equation

Physics Letters A, 1997
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Kamenshchik, A. Yu., Khalatnikov, I. M., Martellini, M.   +2 more
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Singular Solutions for Shallow Cylindrical Shells

Journal of Applied Mechanics, 1973
Using solutions obtained by separation of variables, the set of singular solutions of the shallow cylindrical shell equation is completed by finding a particular integral of a second-order problem. These new solutions are investigated, and those for concentrated forces and for all displacement dislocations are identified.
Dore, R., Flügge, W.
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Numerical Solutions of Singular Fredholm Equations

Journal of Mathematical Physics, 1966
A singular Fredholm equation of the second kind is solved numerically by a Fourier series analysis in which the singularity is removed naturally, and by a Gaussian quadrature procedure in which the singularity was eliminated by an approximation using the law of the mean.
Ullmann, N., Ullmann, R.
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Singular solutions in elasticity

Acta Mechanica, 1967
General solutions of the time-independent equations of motion for linear elasticity with couplestresses are studied. The completeness of a displacement potential similar to theGalerkin-Somigliana representation is proved. The fundamental singular solution of the field equations is defined with the aid of the reciprocal work theorem.
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Perturbation of Solutions with Moving Singularities

Theoretical and Mathematical Physics, 2001
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Distributional Solutions of Singular Integral Equations

2000
The authors give a detailed and unified treatment of distributional solutions for singular integral equations and related functional equations. Several interesting function spaces are defined including function spaces of mixed types. These mixed type function spaces satisfy the condition that there is one function space at one end point and a different
Estrada, R., Kanwal, R. P.
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Singular Perturbation Solutions of Noisy Systems

SIAM Journal on Applied Mathematics, 1995
Summary: Recent work on singular perturbation solutions that persist in the presence of noise is described. Two different settings are considered: small deviation theory in quasi-static problems, where there are small amplitude but highly irregular perturbations, and averaging problems where there are ergodic stochastic perturbations. In the first case,
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Singular Solutions of Certain Integral Equations

Journal of Mathematical Physics, 1966
A class of integral equations arising in some idealized plasma problems is discussed. While these do not have solutions in the space of square-integrable functions, they do have such in an appropriate space of generalized functions. Explicit solutions are given in some special cases. It is then shown how these solutions can be used to approximate those
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