Results 41 to 50 of about 240,101 (314)

Analytical wave solutions of the (2 + 1)-dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by using modified mathematical methods

open access: yesResults in Physics, 2019
In our research, we ascertain abundant novel exact traveling wave solutions of (2 + 1)-dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by two new modified mathematical methods namely called generalized direct algebraic ...
Aly R. Seadawy   +2 more
doaj   +1 more source

Taylor collocation method for systems of high-order linear differential–difference equations with variable coefficients

open access: yesAin Shams Engineering Journal, 2013
A Taylor collocation method has been developed to solve the systems of high-order linear differential–difference equations in terms of the Taylor polynomials.
Elçin Gökmen, Mehmet Sezer
doaj   +1 more source

Quasi-modular forms attached to elliptic curves, I [PDF]

open access: yes, 2011
In the present text we give a geometric interpretation of quasi-modular forms using moduli of elliptic curves with marked elements in their de Rham cohomologies.
Movasati, Hossein
core   +2 more sources

Self-adjoint differential-algebraic equations [PDF]

open access: yesMathematics of Control, Signals, and Systems, 2013
Oberwolfach Preprints;2011 ...
Kunkel, Peter   +2 more
openaire   +3 more sources

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez   +2 more
wiley   +1 more source

A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems

open access: yesJournal of Applied Mathematics, 2013
In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals. In the proposed method, we first extend the Legendre wavelet suitable for large intervals, and then the Legendre-Guass ...
A. Karimi Dizicheh   +3 more
doaj   +1 more source

Algebraic treatment of the Pais-Uhlenbeck oscillator and its PT-variant

open access: yes, 2019
The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian through the mathematical properties of a matrix representation called regular or adjoint.
Fernández, Francisco M.
core   +1 more source

On the History of Differential-Algebraic Equations [PDF]

open access: yes, 2017
The present article takes an off-the-wall approach to the history of Differential-Algebraic Equations and uses personal side trips and memories of conferences, workshops, and summer schools to highlight some of the milestones in the field. Emphasis is in particular placed on the application fields that set the ball rolling and on the development of ...
openaire   +4 more sources

LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS [PDF]

open access: yesModern Physics Letters A, 1995
A certain representation for the Heisenberg algebra in finite difference operators is established. The Lie algebraic procedure of discretization of differential equations with isospectral property is proposed. Using sl 2-algebra based approach, (quasi)-exactly-solvable finite difference equations are described.
Yuri F. Smirnov, Alexander V. Turbiner
openaire   +3 more sources

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

open access: yesInternational Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam   +2 more
wiley   +1 more source

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