... convolution quadrature approach, is independent of the number of internal states or relaxation times, and can be ... Methods for Transient Wave Equations (Springer, Berlin, 2002) 4. P. Debye, Polar Molecules (Chemical Catalogue ...

... Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems. J. Comput. Appl. Math. 387, 14, Article ID: 112618 (2021) 19. Erbay, H.A., Erbay, S., Erkip, A.: A semi-discrete numerical method for convolution ...

... methods of modeling technical systems in MATLAB. Model Optim Inf Technol 7(3):12 23. Bebikhov YV, Semenov AS ... quadrature framework for solving Lyapunov and Sylvester equations. Linear Algebra Appl 622:66–103 27. Hidayat MIP ...

Time domain boundary integral operators for wave propagation problems have Laplace transforms that satisfy bounds of the above type.

... methods for nonlocal models . SIAM J. Appl . Dyn . Syst . , 2 ( 3 ) : 487-516 , 2003 . [ LT13 ] E. Lee and D. Terman . Stable antiphase oscillations in a network of electrically coupled model neurons . SIAM J. Appl . Dyn . Syst . , 12 ...

The main purpose of the book is to introduce the readers to the numerical integration of the Cauchy problem for delay differential equations (DDEs).

A step-by-step treatment of differential equations and their solution via numerical methods.

The book's approach not only explains the presented mathematics, but also helps readers understand how these numerical methods are used to solve real-world problems.

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order.