Results 81 to 90 of about 248,977 (280)
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
wiley +1 more source
Normal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systems
Electronic Journal of Differential Equations, 2018 We study the normal forms of polynomial systems having a set of invariant algebraic curves with singular points. We provide sufficient conditions for the existence of hyperbolic algebraic limit cycles.
Jaume Llibre, Claudia Valls
doaj
Convergence of the Lasserre Hierarchy of SDP Relaxations for Convex Polynomial Programs without Compactness [PDF]
, 2013 The Lasserre hierarchy of semidefinite programming (SDP) relaxations is an effective scheme for finding computationally feasible SDP approximations of polynomial optimization over compact semi-algebraic sets.
Jeyakumar, V., Li, G., Pham, T. S.
core
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Interpolation Polynomials and Linear Algebra
, 2022 15 ...
Askold, Khovanskii +2 more
openaire +3 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Some Algebra of Newton Polynomials
Rocky Mountain Journal of Mathematics, 1998 For each positive integer \(k\), let \(N_k\) be the Newton symmetric polynomial in two variables \(x^k+y^k\). Let \(S\) be the subfield of \({\mathbb{Q}}(x,y)\) consisting of the symmetric rational functions. For \(a\neq b\), the authors determine the degree \([S:{\mathbb{Q}}(N_a,N_b)]\).
Mead, D.G., Stein, S.K.
openaire +2 more sources
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas +1 more
wiley +1 more source
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
doaj +1 more source
Recognizing Graph Theoretic Properties with Polynomial Ideals [PDF]
, 2010 Many hard combinatorial problems can be modeled by a system of polynomial equations. N. Alon coined the term polynomial method to describe the use of nonlinear polynomials when solving combinatorial problems. We continue the exploration of the polynomial
De Loera, J. A. +3 more
core +5 more sources