Research ArticleOpen accessIn the abstractStatistical Inference on a Black-Scholes Model with Jumps. Application in HydrologyJ. Cesars, S.P. Nuiro, J. VaillantWe consider a Stochastic Differential Equation (SDE) driven by a Wiener process and a Poisson measure. This latter measure is associated with a sequence of identically distributed jump amplitudes. Properties of the SDE solution are presented with respect to the associated Wiener and Poisson processes. An algorithm is provided allowing exact numerical simulations of such SDE and implementable within R … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 24 Jul 2019 · 7,502 accessesView PDFCite
Research ArticleOpen accessIn the abstractAccelerators in Macroeconomics: Comparison of Discrete and Continuous ApproachesVasily E. Tarasov, Valentina V. TarasovaWe prove that the standard discrete-time accelerator equation cannot be considered as an exact discrete analog of the continuous-time accelerator equation. This leads to fact that the standard discrete-time macroeconomic models cannot be considered as exact discretization of the corresponding continuous-time models. As a result, the equations of the continuous and standard discrete models have different solutions and can predict … …American Journal of Economics and Business Administration, Vol. 9, Issue 3 · 10 Nov 2017 · 8,633 accessesView PDFCite
Research ArticleOpen accessIn the abstractPerturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model EquationsGrace O. Akinlabi, Sunday O. EdekiIn this study, a computational method referred to as Perturbation Iteration Transform Method (PITM), which is a combination of the conventional Laplace Transform Method (LTM) and the Perturbation Iteration Algorithm (PIA) is applied for the solution of Newell-Whitehead-Segel Equations (NWSEs). Three unique examples are considered and the results obtained are compared with their exact solutions graphically. Also, the results agree … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 20 Feb 2017 · 6,987 accessesView PDFCite
Technical ReportOpen accessIn the abstractDesign of an 8-bit Incremental ADCXinlong Cai, Ze Chen, Zehong CaoThis technical report demonstrated a design an 8-bit switched-capacitor incremental ADC in UMC 0.13 μm CMOS. The design requirements are Supply voltage: 1.2V, Reference voltage (Vref): 1V, Resolution: 8 bits, Output data rate: 100 samples per second and Input voltage range: 0V to 1V. Furthermore, the determine the architecture of incremental A/D converter involved in fuzzy theory. The output waveforms … …American Journal of Engineering and Applied Sciences, Vol. 11, Issue 2 · 1 Jun 2018 · 8,163 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the General Solution of First-Kind Hypersingular Integral EquationsSuzan J. Obaiys, Z. Abbas, N. M.A. Nik Long et al.A new algorithm is presented to provide a general solution for a first type Hyper singular Integral Equation (HSIE). The singular integral has been converted into a regular form by cancelling the singularity and then transforming it into a system of algebraic equation based orthogonal poly- nomials. We applied the convergence method presented by (Obaiys, 2013) to conform the numerical … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 2 · 28 Jan 2016 · 8,699 accessesView PDFCite
Research ArticleOpen accessIn the abstractAN EFFICIENT CELL PLACEMENT USING GRAVITATIONAL SEARCH ALGORITHMSRose Al Qasem, Taisir EldosIn modern chip design, cell placement is a stage in which cells representing well-defined functions are assigned physical locations, in a way that optimizes the total area and routing length. Cell placement is an NP-complete problem and the exact solution is generally far from reach for a practically sized instance. Hence, diversified heuristic algorithms are used to solve this problem. … …Journal of Computer Science, Vol. 9, Issue 8 · 25 Jun 2013 · 7,371 accessesView PDFCite
Research ArticleOpen accessIn the abstractDynamics of Coherent Structures in the Coupled Complex Ginzburg-Landau EquationsTat-Leung YeeProblem statement: In this study, we study the analytical construction of some exact solutions of a system of coupled physical differential equations, namely, the Complex Ginzburg-Landau Equations (CGLEs). CGLEs are intensively studied models of pattern formation in nonlinear dissipative media, with applications to biology, hydrodynamics, nonlinear optics, plasma physics, reaction-diffusion systems and many other fields. Approach: A system of two … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 6 Nov 2012 · 6,990 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimization of Capacitated Vehicle Routing Problem by Nested Particle Swarm OptimizationKaruppusamy Kanthavel, Paruchuri PrasadProblem statement: Vehicle routing problem determines the optimum route for each vehicle as a sequence of visiting cities. The problem has been defined as NP-hard and exact solution is relatively difficult to achieve for real time large scale models. Though several attempts to solve the problem were made in the literature, new approaches may be tried to solve the problem … …American Journal of Applied Sciences, Vol. 8, Issue 2 · 28 Feb 2011 · 7,978 accessesView PDFCite
Research ArticleOpen accessIn the abstractObject Identity, Apparent Motion, Transformation GeometryFelice L. Bedford, Birgitta E. ManssonProblem statement: A classic question in cognition was addressed on how two glimpses separated in time are determined to refer either to the same object or to two different objects, without which coherent perception of the world is not possible. Approach: A general solution was offered in which observers exploit an entire family of geometries. It was argued that a … …Current Research in Psychology, Vol. 1, Issue 1 · 30 Jun 2010 · 9,618 accessesView PDFCite