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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]

Int J Numer Method Biomed Eng
Afas KC, Goldman D.
europepmc   +1 more source

Parameter uniform finite difference formulation with oscillation free for solving singularly perturbed delay parabolic differential equation via exponential spline. [PDF]

BMC Res Notes
Hassen ZI, Duressa GF.
europepmc   +1 more source

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Two-Point Implicit Scheme for Euler Equations

Journal of the Physical Society of Japan, 1983
A new two-point implicit scheme for solving the Euler equations was developed, which is second-order accurate in space and time. This is an extension of the MacCormack implicit scheme, and is taking account of the following points; 1. to solve for the physical quantity itself at a new time-step, not for change of the physical quantity in time, 2.
Shigeru Obayashi, Kunio Kuwahara
exaly   +2 more sources

Semi‐implicit Euler Scheme for Generalized Newtonian Fluids

SIAM Journal on Numerical Analysis, 2006
Rheological behavior of certain non-Newtonian fluids in engineering sciences is often modeled by power law ansatzes with p \leq 2. So far, existing numerical analysis for local strong solutions studies a fully implicit time discretization and find only restricted ranges of admissible p's for corresponding error estimates [A. Prohl and M.
Diening, Lars, Prohl, Andreas, Růžička, Michael   +2 more
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Dissipativity of the linearly implicit Euler scheme for Navier‐Stokes equations with delay

Numerical Methods for Partial Differential Equations, 2017
In this article, we study the dissipativity of the linearly implicit Euler scheme for the 2D Navier‐Stokes equations with time delay volume forces (NSD). This scheme can be viewed as an application of the implicit Euler scheme to linearized NSD. Therefore, only a linear system is needed to solve at each time step.
Wansheng Wang
exaly   +3 more sources

Implicit and explicit Euler schemes

2021
The goal is now to discretize in time the space semi-discrete parabolic problem considered in the previous chapter. Since this problem is a system of coupled (linear) ODEs, its time discretization can be done by using one of the numerous time-stepping techniques available from the literature.
Alexandre Ern, Jean-Luc Guermond
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Implicit conservative schemes for the Euler equations

AIAA Journal, 1986
Summary: A new approach to a characteristic modeling scheme is presented that does not require the governing equations to be written in characteristic variables or the flux terms to be split into positive and negative parts. The method is based on the observation that, for certain finite volume schemes, the upwind influence can be accounted for through
Wornom, Stephen F., Hafez, Mahamed M.
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Implicit kinetic schemes for the Euler equations

International Journal for Numerical Methods in Fluids, 2003
AbstractRecently, the kinetic schemes, namely the kinetic flux‐vector split (KFVS) scheme and kinetic wave/ particle split (KWPS) scheme, for Euler flows have gained wide recognition for their efficiency and robustness. However, to date, all computations performed with these schemes have employed a time‐explicit formulation.
Reksoprodjo, H. S. R., Agarwal, R. K.
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Implicit Euler scheme for an abstract evolution inequality

Differential Equations, 2011
For a triple {V, H, V*} of Hilbert spaces, we consider an evolution inclusion of the form u′(t)+A(t)u(t)+δφ{symbol}(t, u(t)) ∋f(t), u(0) = u0, t ∈ (0, T ], where A(t) and φ{symbol}(t, ·), t ∈ [0, T], are a family of nonlinear operators from V to V * and a family of convex lower semicontinuous functionals with common effective domain D(φ{symbol}) ⊂ V ...
Dautov R., Mikheeva A.
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Euler equations - Implicit schemes and boundary conditions

AIAA Journal, 1983
Implicit boundary condition procedures are presented for use with implicit finite difference schemes for the unsteady Euler equations. This new boundary point treatment is based on the mathematical theory of characteristics for hyperbolic systems of equations.
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