Construction of extrapolation tables by systolic arrays for solving ordinary differential equations
, 1987 We consider here the systolic array constuction of extrapolation tables us sed in the solution of Ordinary Differential Equations (ODE's) associated with initial value type problems. The technique is examined first for a low order formula, i.e.
Megson, G.M., Evans, D.J.
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FEBS Open Bio, EarlyView.Bioscience students were asked for their opinions on the value and teaching of skills. 204 responded that teamwork, time management and study skills are necessary to reach University, that scientific writing, research, laboratory and presentation skills are taught effectively during their studies, while other skills are gained inherently through study ...
Janella Borrell, Susan Crennell
wiley +1 more source
Protein folding with neural ordinary differential equations
Machine Learning: Science and TechnologyRecent advances in protein structure prediction, such as AlphaFold, have demonstrated the power of deep neural architectures like the Evoformer for capturing complex spatial and evolutionary constraints on protein conformation.
Arielle Sanford +2 more
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Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems
Advances in Mathematical Physics, 2013 We investigate the applicability of the compact finite difference relaxation method (CFDRM) in solving unsteady boundary layer flow problems modelled by nonlinear partial differential equations.
P. G. Dlamini, S. S. Motsa, M. Khumalo
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Quantum simulation for time-dependent Hamiltonians -- with applications to non-autonomous ordinary and partial differential equations [PDF]
, 2023 Yu Cao, Shi Jin, Nana Liu
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Volterra integral and differential equations /
, 2005 Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork ...
Burton, T. A.(Theodore Allen),
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Continuity equations and ODE flows with non-smooth velocity [PDF]
, 2014 In this paper we review many aspects of the well-posedness theory for the Cauchy problem for the continuity and transport equations and for the ordinary differential equation (ODE). In this framework, we deal with velocity fields that are not smooth, but
Crippa, Gianluca, Ambrosio, Luigi
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Derivation and characterization of retinal pigment epithelium from urine‐derived iPSCs
FEBS Open Bio, EarlyView.Age‐related macular degeneration causes vision loss via RPE dysfunction and loss. Traditional iPSC therapies rely on invasive biopsies, limiting scalability. Here, we utilize urine‐derived stem cells as an accessible source to generate u‐iPSCs, successfully differentiated into pigmented RPE. This “Urine‐to‐Retina” platform provides a promising path for
Daniella Beiner +7 more
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simode: R Package for Statistical Inference of Ordinary Differential Equations using Separable Integral-Matching [PDF]
, 2019 Rami Yaari, Itai Dattner
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Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Guo, Li +5 more
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