Results 21 to 30 of about 17,997 (206)
On numerical integration of implicit ordinary differential equations [PDF]
, 1981 summary:In this paper it is shown how the numerical methods for ordinary differential equations can be adapted to implicit ordinary differential equations. The resulting methods are of the same order as the corresponding methods for ordinary differential
Kwapisz, Marian, Jackiewicz, Zdzisław
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The Lie group Euler methods of multibody system dynamics with holonomic constraints
Advances in Mechanical Engineering, 2018 The Euler methods on Lie group are developed for the differential–algebraic equations of multibody system dynamics with holonomic constraints. The implicit Euler method is used to solve the differential–algebraic equations as Euler–Lagrange equations on ...
Jieyu Ding, Zhenkuan Pan
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Approximate solutions of hybrid stochastic pantograph equations with Levy jumps [PDF]
, 2013 We investigate a class of stochastic pantograph differential equations with Markovian switching and Levy jumps. We prove that the approximate solutions converge to the true solutions in 퐿 2 sense as well as in probability under local Lipschitz condition ...
Mao, Wei +3 more
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On a Riemann–Liouville Type Implicit Coupled System via Generalized Boundary Conditions
Mathematics, 2021 We study a coupled system of implicit differential equations with fractional-order differential boundary conditions and the Riemann–Liouville derivative.
Usman Riaz +5 more
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上海师范大学学报. 自然科学版, 2016 We consider the stability and asymptotic stability of a class of nonlinear delay differential-algebraic equations and of the implicit Euler methods.Some sufficient conditions for the stability and asymptotic stability of the equations are given.These ...
JIANG Lanlan, JIN Xiangying, SUN Leping
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Dichotomic Structure of DAEs Solutions for the Aircraft Control [PDF]
INCAS Bulletin, 2009 The paper has its roots in earlier studies focused on DAEs solutions, for the aircraft flight control and intends to be a synthesis of them. The main goal is to structure the solution for the control laws so as to derive its components, which control any
Sorin Ştefan RADNEF
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High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation
Advances in Mathematical Physics, 2009 A series of compact implicit schemes of fourth and sixth orders are developed for solving differential equations involved in geodynamics simulations. Three illustrative examples are described to demonstrate that high-order convergence rates are achieved ...
Don Liu, Weijia Kuang, Andrew Tangborn
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Strict and non-strict inequalities for implicit first order causal differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, some fundamental differential inequalities for the implicit perturbations of nonlinear first order ordinary causal differential equations have been established.
Bapurao Dhage
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Existence Results for BVP of a Class of Generalized Fractional-Order Implicit Differential Equations
Communications in Advanced Mathematical Sciences, 2022 In this paper, we study the existence of solutions to boundary value problem for implicit differential equations involving generalized fractional derivative via fixed point methods.
Dvivek Vivek +2 more
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Waveform relaxation methods for implicit differential equations [PDF]
Advances in Computational Mathematics, 1997 A Runge-Kutta waveform relaxation method is applied to initial value problems for implicit differential equations. In the phase of application and computational implementation of this method there is the need of the iterative solution of a series of nonlinear systems. For high-order Runge-Kutta methods the linear algebra costs are very large.
van der Houwen, P.J., van der Veen, W.A.
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