Multiphysics pharmacokinetic model for targeted nanoparticles
Frontiers in Medical Technology, 2022 Nanoparticles (NP) are being increasingly explored as vehicles for targeted drug delivery because they can overcome free therapeutic limitations by drug encapsulation, thereby increasing solubility and transport across cell membranes.
Emma M. Glass +7 more
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Optimization of one-parameter family of integration formulae for solving stiff chemical-kinetic ODEs
Scientific Reports, 2020 A fast and robust Jacobian-free time-integration method—called Minimum-error Adaptation of a Chemical-Kinetic ODE Solver (MACKS)—for solving stiff ODEs pertaining to chemical-kinetics is proposed herein.
Youhi Morii, Eiji Shima
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High order second derivative methods with Runge--Kutta stability for the numerical solution of stiff ODEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 We describe the construction of second derivative general linear methods (SGLMs) of orders five and six. We will aim for methods which are A--stable and have Runge--Kutta stability property. Some numerical results are given to show the efficiency of
Ali Abdi, Gholamreza Hojjati
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Recent Advances in Natural SciencesThis study introduces a novel one-step hybrid block method for solving both stiff and non-stiff second-order ordinary differential equations (ODEs).
Saidu Daudu Yakubu, Precious Sibanda
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Training stiff neural ordinary differential equations with implicit single-step methods. [PDF]
ChaosStiff systems of ordinary differential equations (ODEs) are pervasive in many science and engineering fields, yet standard neural ODE approaches struggle to learn them. This limitation is the main barrier to the widespread adoption of neural ODEs.
Fronk C, Petzold L.
europepmc +3 more sources
Solving Stiff Systems of ODEs by Explicit Methods with Conformed Stability Domains [PDF]
, 2020 The Cauchy problem for a stiff system of ODEs is considered. The explicit m-stage first order methods of the Runge-Kutta type are designed with stability domains of intermediate numerical schemes conformed with the stability domain of the basic scheme ...
Novikov, A. E. +3 more
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Investigating the Surrogate Modeling Capabilities of Continuous Time Echo State Networks
Mathematical and Computational ApplicationsContinuous Time Echo State Networks (CTESNs) are a promising yet under-explored surrogate modeling technique for dynamical systems, particularly those governed by stiff Ordinary Differential Equations (ODEs).
Saakaar Bhatnagar
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High order second derivative multistep collocation methods for ordinary differential equations [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this paper, we introduce second derivative multistep collocation meth-ods for the numerical integration of ordinary differential equations (ODEs).
S. Fazeli
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Adaptive order of block backward differentiation formulas for stiff ODEs [PDF]
, 2017 In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The
Zainuddin, Nooraini +3 more
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High order boundary value linear multistep method for the numerical solution of IVPs in ODEs
Journal of Nigerian Society of Physical SciencesIn this paper, we introduce High order boundary value linear multistep method (HOBVLMM) for the numerical solution of stiff systems of initial value problems (IVPs).
Seun Ogunfeyitimi +2 more
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