Journal: Applied Mathematics and Computation

Found 679 papers in total
The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity
The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity
2012,
When numerically integrating canonical Hamiltonian systems, the long‐term...
Computational complexity and applications of quantum algorithm
Computational complexity and applications of quantum algorithm
2012,
We have studied on quantum algorithm several years, and introduced a mathematical...
Is there a universal image generator?
Is there a universal image generator?
2012,
Synthetic pattern generation procedures have various applications, and a number of...
From classical infinite space‐time CA to a hybrid CA model for natural sciences modeling
From classical infinite space‐time CA to a hybrid CA model for natural sciences modeling
2012,
Complex phenomena occurring in natural sciences are usually characterized by a non...
The use of grossone in Mathematical Programming and Operations Research
The use of grossone in Mathematical Programming and Operations Research
2012,
The concepts of infinity and infinitesimal in mathematics date back to ancients Greek...
On strong homogeneity of two global optimization algorithms based on statistical models of multimodal objective functions
On strong homogeneity of two global optimization algorithms based on statistical models of multimodal objective functions
2012,
The implementation of global optimization algorithms, using the arithmetic of...
Defaults and infinite prices in a stochastic pure exchange model
Defaults and infinite prices in a stochastic pure exchange model
2012,
A stochastic pure exchange model with perfect foresight is considered. Real...
A method of formalizing computer operations for solving nonlinear differential equations
A method of formalizing computer operations for solving nonlinear differential equations
2012,
A new mathematical formalization of the computation process in a classical computer is...
Cellular automata using infinite computations
Cellular automata using infinite computations
2012,
This paper presents an application of the Infinite Unit Axiom, introduced by Yaroslav...
Modeling of complex systems II: A minimalist and unified semantics for heterogeneous integrated systems
Modeling of complex systems II: A minimalist and unified semantics for heterogeneous integrated systems
2012,
The purpose of this paper is to contribute to a unified formal framework for complex...
Model checking time-dependent system specifications using Time Stream Petri Nets and Uppaal
Model checking time-dependent system specifications using Time Stream Petri Nets and Uppaal
2012,
This paper describes an approach to modeling and analysis of time‐dependent...
Stability and Hopf bifurcation of a mathematical model describing bacteria‐fish interaction in marine environment
Stability and Hopf bifurcation of a mathematical model describing bacteria‐fish interaction in marine environment
2012,
In this work, we present and study a model of a host‐parasite system in marine...
A sequential niching memetic algorithm for continuous multimodal function optimization
A sequential niching memetic algorithm for continuous multimodal function optimization
2012,
This work discusses a sequential niching algorithm for multiple optimal determination....
Relativistic modeling of charged super-dense star with Einstein‐Maxwell equations in general relativity
Relativistic modeling of charged super-dense star with Einstein‐Maxwell equations in general relativity
2012,
We have obtained a variety of well behaved classes of Charge Analogues of...
Numerical treatment of a nonlocal model for phytoplankton aggregation
Numerical treatment of a nonlocal model for phytoplankton aggregation
2012,
In this paper, we are interested in the numerical treatment of a nonlinear model...
An EOQ model with delay in payments and stock dependent demand in the presence of imperfect production
An EOQ model with delay in payments and stock dependent demand in the presence of imperfect production
2012,
In real life situation, supplier generally offers a delay period to the retailer to...
Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions
Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions
2012,
The aim of this paper is to establish the oscillation theorems, Rayleigh principle,...
A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains
A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains
2012,
In this paper, a homotopy perturbation technique is proposed to solve a class of...
An R package for an efficient approximation of first-passage-time densities for diffusion processes based on the FPTL function
An R package for an efficient approximation of first-passage-time densities for diffusion processes based on the FPTL function
2012,
This article presents an R package that implements a general heuristic strategy for...
Modeling and simulation of three-dimensional planar contraction flow of viscoelastic fluids with PTT, Giesekus and FENE-P constitutive models
Modeling and simulation of three-dimensional planar contraction flow of viscoelastic fluids with PTT, Giesekus and FENE-P constitutive models
2012,
The planar contraction flow is a representative benchmark problem that is often used...
Impulsive control of single-input nonlinear systems with application to HIV dynamics
Impulsive control of single-input nonlinear systems with application to HIV dynamics
2012,
In this paper, some fundamental analysis and results are introduced for the...
Overtaking optimal control problem for an age-dependent competition system of n species
Overtaking optimal control problem for an age-dependent competition system of n species
2012,
In this paper, the overtaking optimal control problem for an age‐dependent...
A continuously differentiable upwinding scheme for the simulation of fluid flow problems
A continuously differentiable upwinding scheme for the simulation of fluid flow problems
2012,
This paper deals with the numerical solution of complex fluid dynamics problems using...
An efficient mixed asymptotic-numerical scheme for singularly perturbed convection diffusion problems
An efficient mixed asymptotic-numerical scheme for singularly perturbed convection diffusion problems
2012,
In this paper, we present and analyze a mixed asymptotic‐numerical method for...
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