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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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
europepmc +1 more source
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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F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors. [PDF]
J Math Biol, 2022 Tam AKY, Mogilner A, Oelz DB.
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Hemodynamic Assessment of a Vascular Diseased Model with Therapeutic Nanoparticles
, 2023 D. Srik, Surabhi Rathore
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A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay. [PDF]
J Sci Comput, 2020 Wang W, Yi L, Xiao A.
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