Results 101 to 110 of about 10,752 (262)
Rosenbrock methods for Differential Algebraic Equations
Numerische Mathematik, 1987 This paper deals with the numerical solution of differential algebraic equations (DAE) of index one. It begins with the development of a general theory on the Taylor expansion for the exact solutions of these problems, which extends the well known theory of Butcher for first order ordinary differential equations to DAE's of index one. As an application,
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Driven by the energy crisis and carbon neutrality goals, high‐efficiency heat exchange equipment has become a core demand in the industrial sector. The spiral grooved double‐pipe heat exchanger exhibits significant heat transfer enhancement advantages, yet it requires balancing heat transfer efficiency and pressure loss.
Yueyun Yang, Wei Li, Xiuzhi Xi, Neng Gao
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Differential-algebraic equations
Scholarpedia, 2008 Stephen L. Campbell +2 more
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT This study carries significant consequences in various engineering applications, such as cooling rotating disk surfaces, improving chemical reactor performance, and designing filtration systems. Considering these main applications in view, the aim of this study is to investigate time‐dependent Casson hybrid nanofluid flow on a permeable ...
Ebrahem A. Algehyne +6 more
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Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
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On structural controllability in complex networks with periodic switching topologies
Asian Journal of Control, EarlyView.Abstract This paper investigates the structural controllability of complex networks with periodic switching topologies. First, several graph transformations that preserve structural controllability are demonstrated. Based on the n‐walk theory, a criterion is derived that determines structural controllability by analyzing only the joint graph within a ...
Jingrui Hou +3 more
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Controllability and Observability Conditions for Impulsive DAEs on Time Scales
Asian Journal of Control, EarlyView.ABSTRACT This paper establishes criteria for controllability and observability in a class of linear time‐invariant impulsive differential‐algebraic equations (DAEs) defined on a time scale. Controllability is defined as the ability to transfer the system state from any initial condition to any desired state within a finite time interval using an ...
Awais Younus +3 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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British Educational Research Journal, EarlyView.Abstract This paper presents an exploratory analysis of contemporary curricular and professional qualification policies in the Scottish education system, focusing on minimum qualification thresholds for mathematics teaching. The study examines how veteran secondary mathematics practitioners perceive the structural and pedagogical implications of using ...
Paul Argyle McDonald
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Automated Data‐Efficient Symbolic Regression for Interpretable Bioprocess Model Development
Biotechnology and Bioengineering, EarlyView.ABSTRACT Bioprocessing is central to the sustainable manufacture of pharmaceuticals, food products, and renewable chemicals. Consequently, developing high‐fidelity kinetic models to facilitate accurate process prediction, optimisation, and scale‐up is a top research priority.
Luca Riezzo +3 more
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