Results 221 to 230 of about 1,675 (248)

Approximation of discontinuous solutions of ordinary differential equations by polynomial splines

USSR Computational Mathematics and Mathematical Physics, 1977
Abstract A LINEAR boundary value problem of arbitrary order with a finite number of points of discontinuity at which certain splicing conditions are specified is considered. An approximate solution is sought by the collocation method in the space of splines with multiple nodes at the points of discontinuity.
Vasil'ev, M. G., Juferev, V. S.
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Efficient automatic integration of ordinary differential equations with discontinuities

Mathematics and Computers in Simulation, 1981
Abstract This paper describes a method of automatically detecting and accurately locating discontinuities which occur in many applications of ordinary differential equations. The integration formula is a Runge-Kutta so chosen that accurate values between integration points can be found by Hermite interpolation.
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An adaptive discontinuous Galerkin method for very stiff systems of ordinary differential equations

Applied Mathematics and Computation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
André Fortin, Driss Yakoubi
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Efficient integration over discontinuities in ordinary differential equation simulations

Mathematics and Computers in Simulation, 1978
Abstract This paper introduces a new method of detecting and handling discontinuities in arbitrary functions which form part of an ordinary differential equation set. The method has been implemented in conjunction with the Gear[6] integration algorithm for stiff equation sets, published by Hindmarsh[9], but the philosophy applies to any predictor ...
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ON THE THEORY OF THE CAUCHY PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION WITH DISCONTINUOUS RIGHT-HAND SIDE

Russian Academy of Sciences. Sbornik Mathematics, 1995
See the review in Zbl 0837.34009.
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Integration across discontinuities in ordinary differential equations using power series

SIMULATION, 1979
Numerical integration of ordinary differential equa tions containing nonanalytical functions is error- prone and time-consuming. Because of this problem, the simulation of the hydraulic servo drive of a machine tool produced unsatisfactory results. How ever, applying power-series expansions provided fast and accurate solutions.
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EXISTENCE RESULTS FOR DISCONTINUOUS ORDINARY DIFFERENTIAL EQUATIONS

EQUADIFF 2003, 2005
J. ÁNGEL CID, RODRIGO L. POUSO
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SINGULAR PERTURBATION FOR DISCONTINUOUS ORDINARY DIFFERENTIAL EQUATIONS

Symmetry and Perturbation Theory, 2007
M. A. TEIXEIRA, P. R. DA SILVA
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The discontinuous Galerkin method for general nonlinear third-order ordinary differential equations

Applied Numerical Mathematics, 2021
Mahboub Baccouch M Baccouch
exaly  

On the Cauchy problem for k-th order discontinuous ordinary differential equations

2016
Given a nonempty set Y ⊆ R n and a function f: [a, b] × (Rn)k × Y - > R, we are interested in the problem of finding u ε Wk,p([a,b],Rn) such that f(t,u(t),u'(t),...,u(k)(t)) = 0 for a.e. t ε [a,b], and u(i)(t0) = u0(i) for a11 i = 0 , . . . ,k - 1, where t0 ε [a, b] and (u0(0) ,u0(1) , . . . ,u0(k-1)) ε (Rn)k are given points.
CUBIOTTI, Paolo, Yao, J. C.
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