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numerical methods for ODE's

A CellML simulation compiler and code generator using ODE solving schemes

A CellML simulation compiler and code generator using ODE solving schemes

... implicit numerical methods. The handling of implicit methods is available in the inputs but not in the cur- rent implementation of our ...other ODE numerical solutions library like ...

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A Comparative Study on Numerical Solutions of [IVP] for[ODE] with Cubic Spline Interpolation and Modified Euler Method

A Comparative Study on Numerical Solutions of [IVP] for[ODE] with Cubic Spline Interpolation and Modified Euler Method

... for numerical integration of ordinary differential ...first numerical method for solving IVP and serves to illustrate the concepts involved in the advanced ...

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A way for constructing hybrid methods with high order of accuracy and their application to solving of ode of first order

A way for constructing hybrid methods with high order of accuracy and their application to solving of ode of first order

... of numerical methods for solving ordinary differential equation of first ...these methods, connected to Clairaut, used the indirect-numerical bit of the comet Galileo in ...since ...

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Solving Large Scale Unconstrained Minimization Problems by a New ODE Numerical Integration Method

Solving Large Scale Unconstrained Minimization Problems by a New ODE Numerical Integration Method

... [7] A. R. Conn, N. I. M. Gould and P. L. Toint, “Testing Class of Methods for Solving Minimization Problems with Simple Bounds on the Variables,” Mathematics of Computation, Vol. 50, No. 182, 1988, pp. 399-430. ...

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Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method

Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method

... We now present numerical results for five examples. Some of them have already had results in literature. So we can compare our results with theirs. We also compare the results of fixed point iteration (explicit ...

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Two reduction methods to simplify complex ODE mathematical models of biological networks and a case study: The G1/S checkpoint/DNA-damage signal transduction pathways

Two reduction methods to simplify complex ODE mathematical models of biological networks and a case study: The G1/S checkpoint/DNA-damage signal transduction pathways

... This thesis proposes two reduction methods. Firstly, a reduction method is proposed to produce a model of biological networks that simplifies cell signalling pathways into differint level of abstraction (zoom in, ...

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A Comparative Study on Numerical Solutions of Initial Value Problems (IVP) for Ordinary Differential Equations (ODE) with Euler and Runge Kutta Methods

A Comparative Study on Numerical Solutions of Initial Value Problems (IVP) for Ordinary Differential Equations (ODE) with Euler and Runge Kutta Methods

... There are two types of errors in numerical solution of ordinary differential equations. Round-off errors and Truncation errors occur when ordinary differential equations are solved numerically. Rounding errors ...

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Stability of Numerical Schemes for the Delay Blowflies Equation

Stability of Numerical Schemes for the Delay Blowflies Equation

... for numerical methods for DDEs, only a few dealt specifically with the θ-method for ...the numerical stability and the long-term behaviour of the numerical solutions of the θ-method for ...the ...

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Effectiveness of motivational interviewing, health education and brief advice in a population of smokers who are not ready to quit

Effectiveness of motivational interviewing, health education and brief advice in a population of smokers who are not ready to quit

... the ODE model (4) and the set of data points [26, ...the ODE model (4) for each group of BA, HE and MI ...specified ODE model was used to predict the dynamics of quit progression over 2 ...

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Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces

Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces

... show that the convergence of Picard iteration schemes is equivalent to the convergence of the Mann iteration for Zamfirescu operators in normed spaces. The result improves ones announced by S¸oltuz [1, Theorem 2]. ...

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Control Chaos in System with Fractional Order

Control Chaos in System with Fractional Order

... in ODE systems to fractional order systems, in order to eliminate the chaotic ...Moreover numerical simulations are shown to verify the effectiveness of the proposed control ...

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Simple computational methods for the analysis of (s, s) type inventory models

Simple computational methods for the analysis of (s, s) type inventory models

... (s, S) type inventory problem is developed. Under this (s, S) policy, (i) the number of units demanded where d = 1, 2… a ( s) at successive demand epochs form a Markov chain (MC) with ...

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Effects of nonlocal stress on the determination of shear banding flow

Effects of nonlocal stress on the determination of shear banding flow

... flow with a smooth interface separating a single re- gion of material in the high shear rate phase from a single region of material in the low shear rate phase. Mathematically, the elementary shear band is a so- lution ...

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On Ode for St. Cecilia's Day?

On Ode for St. Cecilia's Day?

... In prefacing my reading of Ed's own last work-the autobiographical essay "Waves," in which he speaks of his mother's death from breast cancer from the perspective ofhis knowledge[r] ...

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Shiftiness in Keats's ‘Ode on Indolence’

Shiftiness in Keats's ‘Ode on Indolence’

... conspiratorial fellowship: ‘with bowed necks, and joined hands, side-faced’. The last, unusual compound-adjective suggests the simultaneity of at once showing the side of the face, and facing the side. Perhaps it also ...

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Numerical ODE solvers that preserve first integrals

Numerical ODE solvers that preserve first integrals

... For rheonomic Hamiltonian may have numerical always give arbitrary more solutions exist know that problem by we only if we constraint forces may be adjoining equations of motion Lagrange[r] ...

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Mesoporous TiO2 Nanofiber as Highly Efficient Sulfur Host for Advanced Lithium–Sulfur Batteries

Mesoporous TiO2 Nanofiber as Highly Efficient Sulfur Host for Advanced Lithium–Sulfur Batteries

... Currently, lithium–sulfur batteries suffer from several critical limitations that hinder their practical application, such as the large volumetric expansion of electrode, poor conductivity and lower sulfur utilization. ...

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Numerical Simulation of Maxwell's Equations

Numerical Simulation of Maxwell's Equations

... Abstract:- In this paper, we propose the finite-difference time-domain (FDTD) scheme based on the Yee algorithm to solve the time dependent Maxwell's equations. Where the volume domain has been discretized with a ...

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Boundedness in a quasilinear chemotaxis–haptotaxis model of parabolic–parabolic–ODE type

Boundedness in a quasilinear chemotaxis–haptotaxis model of parabolic–parabolic–ODE type

... with healthy tissue. The enzyme is produced by cancer cells and it is supposed to be in- fluenced by diffusion and degradation. The tissue, also named extracellular matrix, can be degraded by enzyme upon contact; on the ...

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A stochastic differential equation analysis of cerebrospinal fluid dynamics

A stochastic differential equation analysis of cerebrospinal fluid dynamics

... for s is ...which s was fixed, not just at s = 0.5 mL/ min, but also at values of s lower as well as higher than ...for s = 0.5 mL/ min and for s = ...of s , so that, even ...

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