In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques in…
Uniqueness and non-uniqueness in the Cauchy problem
This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the hel…
This text provides numerical algorithms and associated software for solving a spectrum on problems of ordinary differential equations (ODEs), differential algebraic equations (DAEs) and partial differential equations (PDES) that occur in science and engineering. Detailed example…