Modified Equation

This book offers a comprehensive approach to the numerical modeling of open channel flow, based on the author’s own research in this field, as well as his experience as a lecturer.

This book offers a comprehensive approach to the numerical modeling of open channel flow, based on the author’s own research in this field, as well as his experience as a lecturer.

This second edition of a highly successful graduate text presents a complete introduction to partial differential equations and numerical analysis.

Quantum Decoherence, Entropy, and Gravity from Entropic Principles: From Density Matrices to Modified Einstein Equations

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler–Maruyama and strong-order Taylor numerical methods. The book also shows how to arrive at new, exact solutions to various fractional differential equations, such as the time-fractional Burgers–Hopf equation, the (3+1)-dimensional time-fractional Khokhlov–Zabolotskaya–Kuznetsov equation, (3+1)-dimensional time-fractional KdV–Khokhlov–Zabolotskaya–Kuznetsov equation, fractional (2+1)-dimensional Davey–Stewartson equation, and integrable Davey–Stewartson-type equation.

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler–Maruyama and strong-order Taylor numerical methods.