Let f be a function from Zq to Zq. Such a function f is bent if all values of its Fourier transform have absolute value 1. Bent functions are known to exist for all pairs (m, q) except when m is odd and q ≡ 2 (mod 4) and there is overwhelming evidence that no bent function exists in the latter case. In this paper the following problem is studied: how closely can the largest absolute value of th...

This paper studies the generalized nonlinear Klein-Gordon equations in 1+2 dimensions. There are five forms of nonlinearity that are considered in this paper. The solitary wave ansatz is used to carry out the integration of these five forms. Both topological and non-topological soliton solutions are obtained depending on the nonlinear form. AMS Codes: 37K10; 35Q51, 35Q55 PACS Codes: 02.30.Ik, 0...

In this paper, a method for obtaining nonlinear sti ness coe cients in modal coordinates for geometrically nonlinear nite-element models is developed. The method requires application of a nite-element program with a geometrically nonlinear static capability. The MSC/NASTRAN code is employed for this purpose. The equations of motion of a MDOF system are formulated in modal coordinates. A set of ...

Sequential (or Successive) Quadratic Programming (SQP) is a technique for the solution of Nonlinear Programming (NLP) problems. It is, as we shall see, an idealized concept, permitting and indeed necessitating many variations and modifications before becoming available as part of a reliable and efficient production computer code. In this monograph we trace the evolution of the SQP method throug...

This paper generalizes Elkies’ construction of error-correcting nonlinear codes found in [N. Elkies, Excellent nonlinear codes from modular curves, in: Proceedings of the 33rd Annual ACM Symposium on the Theory of Computing, STOC’01, Hersonissos, Crete, Greece, 2001, pp. 200–208]. The generalization produces a precise average code size over codes in the new construction. The result is a larger ...

|Based on a simpliied nonlinear lumped element model of the electrodynamic loudspeaker, three nonlinear controllers are derived, simulated and implemented on a DSP. First the Volterra series expansion, a well known functional expansion to model nonlinear systems, is used to derive an open-loop controller to cancel out nonlinearities. Second method is based on direct inversion of the nonlinear p...

The polarization magnetization effects associated with the dynamical reduction leading to the nonlinear gyrokinetic Vlasov–Maxwell equations are shown to introduce nonlinear finite-Larmor-radius FLR effects into a set of nonlinear reduced-fluid equations previously derived by the Lagrangian variational method A. J. Brizard, Phys. Plasmas 12, 092302 2005 . These intrinsically nonlinear FLR effec...

We present an algorithm to solve multistage stochastic convex problems, whose objective function and constraints are nonlinear. It is based on the twin-node-family concept involved in the Branch-and-Fix Coordination method. These problems have 0–1 mixed-integer and continuous variables in all the stages. The non-anticipativity constraints are satisfied bymeans of the twin-nodefamily strategy. I...

Finding an appropriate turbulence model for a given flow case usually calls for extensive experimentation with both models and numerical solution methods. This work presents the design and implementation of a flexible, programmable software framework for assisting with numerical experiments in computational turbulence. The framework targets Reynolds-averaged Navier-Stokes models, discretized by...