Results 1 to 10 of about 110,535 (165)
AcousticsThis study delves into the effectiveness of two time integration techniques, namely the adaptive implicit–explicit (imp–exp) and explicit–explicit (exp–exp) methods, which stand as efficient formulations for tackling intricate systems characterized by ...
Delfim Soares +3 more
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An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics
Computer Methods in Applied Mechanics and Engineering, 2019 We propose a new explicit pseudo-energy and momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is based on two key ideas: the integration during the time-steps of forces between free-flight particles and the use of momentum jumps at the discrete time nodes leading to a two ...
Frédéric Marazzato, Laurent Monasse
exaly +4 more sources
Semi-explicit Unconditionally Stable Time Integration method based on Generalized-α technique [PDF]
مهندسی عمران شریف, 2022 In structural dynamic analysis, various time integration techniques have been proposed. Generally, these algorithms discretize the time domain into a finite number of intervals and approximate the displacements, velocities, and accelerations via ...
A.H namadchi +2 more
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An Efficient Implementation of Phase Field Method with Explicit Time Integration [PDF]
Journal of Applied and Computational Mechanics, 2020 The phase field method integrates the Griffith theory and damage mechanics approach to predict crack initiation, propagation, and branching within one framework.
Wenlong Zhang, Ala Tabiei
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Stable, Explicit, Leapfrog-Hopscotch Algorithms for the Diffusion Equation
Computation, 2021 In this paper, we construct novel numerical algorithms to solve the heat or diffusion equation. We start with 105 different leapfrog-hopscotch algorithm combinations and narrow this selection down to five during subsequent tests.
Ádám Nagy +5 more
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Buildings, 2022 Calculating heat transfer in building components is an important and nontrivial task. Thus, in this work, we extensively examined 13 numerical methods to solve the linear heat conduction equation in building walls.
Humam Kareem Jalghaf +2 more
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Mathematics, 2022 We examine the one-dimensional transient diffusion equation with a space-dependent diffusion coefficient. Such equations can be derived from the Fokker–Planck equation and are essential for understanding the diffusion mechanisms, e.g., in carbon ...
Mahmoud Saleh +3 more
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Explicit time integration of transient eddy current problems [PDF]
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2017 SummaryFor time integration of transient eddy current problems, commonly implicit time integration methods are used, where in every time, step 1 or several nonlinear systems of equations have to be linearized with the Newton‐Raphson method because of ferromagnetic materials involved.
J. Dutiné +3 more
openaire +2 more sources
A Set of New Stable, Explicit, Second Order Schemes for the Non-Stationary Heat Conduction Equation
Mathematics, 2021 This paper introduces a set of new fully explicit numerical algorithms to solve the spatially discretized heat or diffusion equation. After discretizing the space and the time variables according to conventional finite difference methods, these new ...
Endre Kovács +2 more
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Explicit Stable Finite Difference Methods for Diffusion-Reaction Type Equations
Mathematics, 2021 By the iteration of the theta-formula and treating the neighbors explicitly such as the unconditionally positive finite difference (UPFD) methods, we construct a new 2-stage explicit algorithm to solve partial differential equations containing a ...
Humam Kareem Jalghaf +4 more
doaj +1 more source