Results 21 to 30 of about 91 (67)
The Partition of Unity Method for the Elastically Supported Beam
, 1998 The partition of unity method (PUM) is used to solve the Timoshenko beam with elastic support. Some important features of this new method are addressed, but the main concern is to overcome locking and boundary layer.
Ivo Babuska, Zhimin Zhang
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, 2020 In this paper we considerer singularly perturbed convection-diffusion-reaction problems with a turning point whose solution exhibits an interior layer. We establish bounds on the solution to these problems and their derivatives.
Patidar, Kailash C. +2 more
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Stiff Oscillatory Systems, Delta Jumps and White Noise
, 2001 Two model problems for stiff oscillatory systems are introduced. Both comprise a linear superposition of N AE 1 harmonic oscillators used as a forcing term for a scalar ODE.
E. Suli, Cano Stuart, B. Cano
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A Residual-Certified Product-Integration Method for Nonlinear Caputo–Volterra Equations
We study an implicit product-integration scheme for nonlinear Caputo initial-value problems written as weakly singular Volterra equations. The Abel kernel is integrated exactly against a piecewise-linear interpolant of the nonlinear term, producing a ...
Thokchom Chhatrajit Singh
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Analysis of membrane locking in hp FEM for a cylindrical shell
, 2007 In this paper we analyze the performance of the hp\GammaFinite Element Method for a cylindrical shell problem. Our theoretical investigations show that the hp approximation converges exponentially, provided that boundary layers stemming from the edge ...
A. M. Matache, C. Schwab, K. Gerdes
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An Algorithm For The Numerical Solution Of Differential Equations Of Fractional Order
, 1997 . Differential equations involving derivatives of non-integer order have shown to be adequate models for various physical phenomena in areas like damping laws, diffusion processes, etc.
Kai Diethelm
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Exponential Integrators For Quantum-Classical Molecular Dynamics
, 1999 . We study time integration methods for equations of mixed quantum-classical molecular dynamics in which Newtonian equations of motion and Schrodinger equations are nonlinearly coupled. Such systems exhibit different time scales in the classical and the
Marlis Hochbruck, Christian Lubich
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On Taylor model based integration of ODEs
, 2008 . Interval methods for verified integration of initial value problems (IVPs) for ODEs have been used for more than 40 years. For many classes of IVPs, these methods are able to compute guaranteed error bounds for the flow of an ODE, where traditional ...
M. Neher, K. R. Jackson, N. S. Nedialkov
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Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
BMC Res Notes, 2023 Wondimu GM +3 more
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Low-rank Parareal: a low-rank parallel-in-time integrator. [PDF]
BIT Numer Math, 2023 Carrel B, Gander MJ, Vandereycken B.
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