Clean Numerical Simulation
Delay Partial Differential Equations
Advanced Engineering Mathematics with MATLAB
Handbook of Differential Equations
Observability and Mathematics Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling
By Svetlin Georgiev, Khaled Zennir
October 30, 2023
This book presents an introduction to the theory of multiplicative partial differential equations (MPDEs). It is suitable for all types of basic courses on MPDEs. The author’s aim is to present a clear and well-organized treatment of the concept behind the development of mathematics and solution ...
By Shijun Liao
September 26, 2023
This book describes the basic principles of the Clean Numerical Simulation (CNS), proposed by the author in 2009, and several of its applications. Unlike conventional algorithms, CNS can give convergent chaotic trajectory in a sufficiently long interval of time, whose numerical noise is much lower ...
By Andrei D. Polyanin, Vsevolod Sorokin, Alexei I. Zhurov
August 28, 2023
The book is devoted to linear and nonlinear ordinary and partial differential equations with constant and variable delay. It considers qualitative features of delay differential equations and formulates typical problem statements. Exact, approximate analytical and numerical methods for solving such...
By Dimitrios Mitsotakis
June 19, 2023
This textbook is a comprehensive introduction to computational mathematics and scientific computing suitable for undergraduate and postgraduate courses. It presents both practical and theoretical aspects of the subject, as well as advantages and pitfalls of classical numerical methods alongside ...
By Helmut Bez, Tony Croft
February 23, 2023
Quantum Computation presents the mathematics of quantum computation. The purpose is to introduce the topic of quantum computing to students in computer science, physics and mathematics who have no prior knowledge of this field. The book is written in two parts. The primary mathematical topics ...
By Dean G. Duffy
March 23, 2022
Through four previous editions of Advanced Engineering Mathematics with MATLAB, the author presented a wide variety of topics needed by today's engineers. The fifth edition of that book, available now, has been broken into two parts: topics currently needed in mathematics courses and a new ...
By Harendra Singh, H M Srivastava, Juan J. Nieto
February 17, 2022
Fractional calculus is used to model many real-life situations from science and engineering. The book includes different topics associated with such equations and their relevance and significance in various scientific areas of study and research. In this book readers will find several important and...
By Dean G. Duffy
December 31, 2021
In the four previous editions the author presented a text firmly grounded in the mathematics that engineers and scientists must understand and know how to use. Tapping into decades of teaching at the US Navy Academy and the US Military Academy and serving for twenty-five years at (NASA) Goddard ...
By Daniel Zwillinger, Vladimir Dobrushkin
December 31, 2021
Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers. The book is a compilation of methods for solving and approximating ...
By James A. Middleton
November 24, 2021
This book develops foundational concepts in probability and statistics with primary applications in mechanical and aerospace engineering. It develops the mindset a data analyst must have to interpret an ill-defined problem, operationalize it, collect or interpret data, and use this evidence to make...
By Boris Khots
November 18, 2021
The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations. The main objective is to model and derive of equation of continuity, Euler equation of fluid motion, energy flux equation, Navier-Stokes equations from the observer point of view and solve classic ...
By Andrei D. Polyanin, Alexei I. Zhurov
November 11, 2021
Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs). It also presents the direct method of symmetry ...