Results 91 to 100 of about 250,497 (280)
Competitive Equilibria in Semi-Algebraic Economies [PDF]
This paper examines the equilibrium correspondence in Arrow-Debreu exchange economies with semi-algebraic preferences. We show that a generic semi-algebraic exchange economy gives rise to a square system of polynomial equations with finitely many ...
Felix Kuber, Karl Schmedders
core
Interpolation by algebraic and trigonometric polynomials [PDF]
Mathematics of Computation, 1966 The problem to be examined here is that of determining an algebraic or trigonometric polynomial of minimal degree exactly satisfying given constraints. The constraints to be considered are of the following forms: (A) Ordinates are specified at given distinct abscissas, (B) Slopes are specified at some or all of the points where the ordinates are ...
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
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Ain Shams Engineering Journal, 2018 In this paper, we present the Taylor polynomial solutions of system of higher order linear integro-differential Volterra-Fredholm equations (IDVFE). This method transforms IDVFE into the matrix equations which correspond to a system of linear algebraic ...
Yousef Jafarzadeh, Bagher Keramati
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Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
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On the degree of the polynomial defining a planar algebraic curves of constant width
, 2013 In this paper, we consider a family of closed planar algebraic curves $\mathcal{C}$ which are given in parametrization form via a trigonometric polynomial $p$.
Bardet, Magali, Bayen, Térence
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Algebraic methods for chromatic polynomials
European Journal of Combinatorics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Norman L. Biggs +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source