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Differential/Algebraic Equations As Stiff Ordinary Differential Equations

SIAM Journal on Numerical Analysis, 1992
To a system of differential algebraic equations: \[ \text{(DAE)}\quad y'(t)=f(t,y(t),z(t),0),\quad g(t,y(t),z(t),0)=0, \] a system of singularly perturbed ordinary differential equations: \[ \text{(ODE)}\quad y_ \varepsilon'(t)=f(t,y_ \varepsilon(t),z_ \varepsilon(t),\varepsilon), \varepsilon z_ \varepsilon'(t)=g(t,y_ \varepsilon(t),z_ \varepsilon(t ...
openaire +3 more sources

Oscillation criteria for second order self-adjoint matrix differential equations [PDF]

, 1999
N. Parhi, P. Praharaj
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Dipole Oscillations along Principal Coordinates in a Frozen Channel in the Context of Symmetric Linear Thickness of Porous Ice

Journal of Marine Science and Engineering
The problem of periodic oscillations of a dipole, specifically its strength, along the principal axes in a three-dimensional frozen channel is considered.
Konstantin Shishmarev +3 more
doaj +1 more source

The Global Behavior of Finite Difference-Spatial Spectral Collocation Methods for a Partial Integro-Differential Equation with a Weakly Singular Kernel

, 2013
Jie Xu
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Existence theorems for a nonlinear second-order distributional differential equation