Results 21 to 30 of about 2,297,727 (227)
Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems
Applied Sciences, 2022 Integration of a larger stiff system of initial value problems emerging from chemical kinetics models requires a method that is both efficient and accurate, with a large absolute stability region. To determine the solutions of the stiff chemical kinetics
Hira Soomro +7 more
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Differential/Algebraic Equations As Stiff Ordinary Differential Equations
SIAM Journal on Numerical Analysis, 1992 To a system of differential algebraic equations: \[ \text{(DAE)}\quad y'(t)=f(t,y(t),z(t),0),\quad g(t,y(t),z(t),0)=0, \] a system of singularly perturbed ordinary differential equations: \[ \text{(ODE)}\quad y_ \varepsilon'(t)=f(t,y_ \varepsilon(t),z_ \varepsilon(t),\varepsilon), \varepsilon z_ \varepsilon'(t)=g(t,y_ \varepsilon(t),z_ \varepsilon(t ...
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Mathematics, 2020 Recently, block backward differentiation formulas (BBDFs) are used successfully for solving stiff differential equations. In this article, a class of hybrid block backward differentiation formulas (HBBDFs) methods that possessed A –stability are ...
Zarina Bibi Ibrahim +1 more
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Investigation of rigid dynamic systems on the example of modelling a tape drive mechanism [PDF]
MATEC Web of Conferences, 2020 The features of modeling the dynamics of mechanical systems on the example of the operation of the tape drive mechanism related to real technological processes are stated.
Nigay Ruslan +2 more
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The numerical solution of stiff differential equations [PDF]
FEBS Letters, 1969 The separate problem of stability and accuracy in numerical methods of approximating the solution of systems of non‐linear equations is then treated. Stress is laid on the consistently unsatisfactory results given by explicit methods for systems containing “stiff” equations, and implicit multistep methods are particularly recommended for this class of ...
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A test of numerical instability and stiffness in the parametrizations of the ARPÉGE and ALADIN models [PDF]
Geoscientific Model Development, 2013 Meteorological numerical weather prediction (NWP) models solve a system of partial differential equations in time and space. Semi-lagrangian advection schemes allow for long time steps. These longer time steps can result in instabilities occurring in the
M. Tudor
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Relativistic resistive magneto-hydrodynamics code for high-energy heavy-ion collisions
European Physical Journal C: Particles and Fields, 2023 We construct a relativistic resistive magneto-hydrodynamic (RRMHD) numerical simulation code for high-energy heavy-ion collisions as a first designed code in the Milne coordinates. We split the system of differential equations into two parts, a non-stiff
Kouki Nakamura +3 more
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Solving Stiff Differential Equations with the Method of Patches [PDF]
Journal of Computational Physics, 1998 A new approach for solving stiff systems of nonlinear ordinary differential equations is presented. In the case of an autonomous scalar differential equation \( \dot x (t) = f (x(t)) \), the authors propose to define a suitable grid in the \(x\)-variable \( x_0 < x_1 < \ldots x_N\) replacing the original system by \( \dot y (t) = f_L ( y(t))\) where \(
Brydon, David +2 more
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Explicit stabilized multirate method for stiff differential equations
Mathematics of Computation, 2022 Stabilized Runge–Kutta methods are especially efficient for the numerical solution of large systems of stiff nonlinear differential equations because they are fully explicit. For semi-discrete parabolic problems, for instance, stabilized Runge–Kutta methods overcome the stringent stability condition of standard methods without sacrificing explicitness.
Abdulle, Assyr +2 more
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Survey of Parallel Block Methods [PDF]
مجلة التربية والعلم, 2010 The main purpose of this research is the survey of the development Block parallel numerical algorithms for solute stiff ordinary differential equations which are suitable for running on MIMD (Multiple instruction streams with multiple data streams ...
Bashir M. Khalaf +2 more
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