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Checks and Balances on Executive Compensation  [PDF]
Mai Iskandar-Datta
Open Journal of Business and Management (OJBM) , 2014, DOI: 10.4236/ojbm.2014.21003
Abstract: Checks and Balances on Executive Compensation
Kaedah Min Geometri Runge Kutta Peringkat Kedua
Mohd Idris Jayes
Matematika , 1997,
Abstract: In Mohd Idris [4], the geometric mean approach of deriving the numerical solution for the ordinary differential equations is shown. In this paper, we extend the approach to derive the Runge-Kutta geometric mean method of order 2. Numerical results obtained form selected problems show that the Runge-Kutta geometric mean method is very competitive. However, the Runge-Kutta geometric mean is computationally expensive compared to the standard Runge-Kutta method.
Numerical solution of coupled mass and energy balances during osmotic microwave dehydration  [cached]
Javier R Arballo,Laura A Campa?one,Rodolfo H Mascheroni
Computational and Applied Mathematics , 2012, DOI: 10.1590/s1807-03022012000300006
Abstract: The mass and energy transfer during osmotic microwave drying (OD-MWD) process was studied theoretically by modeling and numerical simulation. With the aim to describe the transport phenomena that occurs during the combined dehydration process, the mass and energy microscopic balances were solved. An osmotic-diffusional model was used for osmotic dehydration (OD). On the other hand, the microwave drying (MWD) was modeled solving the mass and heat balances, using properties as function of temperature, moisture and soluble solids content. The obtained balances form highly coupled non-linear differential equations that were solved applying numerical methods. For osmotic dehydration, the mass balances formed coupled ordinary differential equations that were solved using the Fourth-order Runge Kutta method. In the case of microwave drying, the balances constituted partial differential equations, which were solved through Crank-Nicolson implicit finite differences method. The numerical methods were coded in Matlab 7.2 (Mathworks, Natick, MA). The developed mathematical model allows predict the temperature and moisture evolution through the combined dehydration process. Mathematical subject classification: Primary: 06B10; Secondary: 06D05.
Nonlinear Plates Interacting with A Subsonic, Inviscid Flow via Kutta-Joukowski Interface Conditions  [PDF]
Irena Lasiecka,Justin T. Webster
Mathematics , 2013,
Abstract: We analyze the well-posedness of a flow-plate interaction considered in [22, 24]. Specifically, we consider the Kutta-Joukowski boundary conditions for the flow [20, 28, 26], which ultimately give rise to a hyperbolic equation in the half-space (for the flow) with mixed boundary conditions. This boundary condition has been considered previously in the lower-dimensional interactions [1, 2], and dramatically changes the properties of the flow-plate interaction and requisite analytical techniques. We present results on well-posedness of the fluid-structure interaction with the Kutta-Joukowsky flow conditions in force. The semigroup approach to the proof utilizes an abstract setup related to that in [16] but requires (1) the use of a Neumann-flow map to address a Zaremba type elliptic problem and (2) a trace regularity assumption on the acceleration potential of the flow. This assumption is linked to invertibility of singular integral operators which are analogous to the finite Hilbert transform in two dimensions. (We show the validity of this assumption when the model is reduced to a two dimensional flow interacting with a one dimensional structure; this requires microlocal techniques.) Our results link the analysis in [16] to that in [1, 2].
Bigeometric Calculus and Runge Kutta Method  [PDF]
Mustafa Riza,Bu??E Emina?A
Mathematics , 2014,
Abstract: The properties of the Bigeometric or proportional derivative are presented and discussed explicitly. Based on this derivative, the Bigeometric Taylor theorem is worked out. As an application of this calculus, the Bigeometric Runge-Kutta method is derived and is applied to academic examples, with known closed form solutions, and a sample problem from mathematical modelling in biology. The comparison of the results of the Bigeometric Runge-Kutta method with the ordinary Runge-Kutta method shows that the Bigeometric Runge-Kutta method is at least for a particular set of initial value problems superior with respect to accuracy and computation time to the ordinary Runge-Kutta method.
Five Balances in the Management of Rheumatoid Arthritis  [PDF]
Shengrong Zou
Journal of Biosciences and Medicines (JBM) , 2017, DOI: 10.4236/jbm.2017.59002
Abstract: Rheumatoid arthritis (RA) is the most common chronic autoimmune joint disease. The etiology of RA is complex, and then it is impossible to cure completely today and it should be individualized treatment. Immune system is complex. Existing statistical techniques based on reductionism cannot discover many relevant disease risk factors and complex interaction relationship. The disease network model based on complex network is important for the analysis and treatment of RA disease. In this Review, we have found five important layers of RA complex network and presented five balances regulating strategy in the management of RA. We have followed up one RA patient (wife of the author) for one year using this strategy, and the management effect is good. This Review argues RA is self-limiting to some extent, and good management with five balances regulating strategy would have positive significance, among which the balance between neuroendocrine system and immune system is the most important. During the day, glucocorticoid plays an important role in con-trolling inflammation, and human growth hormone plays an important role in eliminating inflammation during the slow-wave sleep at night. Five balances core concepts can shed light on the management of other causes of arthritis.
Earning Power Analysis on The Basis of the Intermediary Balances of Administration
Neculina Chebac,Carmen Cre?u
Acta Universitatis Danubius : Oeconomica , 2008,
Abstract: The profit and loss account, within the basic (developed – version) system, allows the establishment of the intermediary results account orof the intermediary balances of administration. Indices involved in the case of the intermediary balances of administration are necessary in makingdecisions both at the firm level and at that of third parties that are economically and financially related to the firm.
Accelerated Runge-Kutta Methods  [PDF]
Firdaus E. Udwadia,Artin Farahani
Discrete Dynamics in Nature and Society , 2008, DOI: 10.1155/2008/790619
Abstract: Standard Runge-Kutta methods are explicit, one-step, and generally constant step-size numerical integrators for the solution of initial value problems. Such integration schemes of orders 3, 4, and 5 require 3, 4, and 6 function evaluations per time step of integration, respectively. In this paper, we propose a set of simple, explicit, and constant step-size Accerelated-Runge-Kutta methods that are two-step in nature. For orders 3, 4, and 5, they require only 2, 3, and 5 function evaluations per time step, respectively. Therefore, they are more computationally efficient at achieving the same order of local accuracy. We present here the derivation and optimization of these accelerated integration methods. We include the proof of convergence and stability under certain conditions as well as stability regions for finite step sizes. Several numerical examples are provided to illustrate the accuracy, stability, and efficiency of the proposed methods in comparison with standard Runge-Kutta methods.
On solutions of a Heavenly equations and their generalizations  [PDF]
Valerii Dryuma
Physics , 2006,
Abstract: Some solutions of the Heavenly equations and their generalizations are considered
Runge-Kutta methods and renormalization  [PDF]
Christian Brouder
Physics , 1999, DOI: 10.1007/s100529900235
Abstract: A connection between the algebra of rooted trees used in renormalization theory and Runge-Kutta methods is pointed out. Butcher's group and B-series are shown to provide a suitable framework for renormalizing a toy model of field the ory, following Kreimer's approach. Finally B-series are used to solve a class of non-linear partial differential equations.
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