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Advances in Applied Mathematics


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Multiplicative Partial Differential Equations

Multiplicative Partial Differential Equations

1st Edition

Forthcoming

By Svetlin G. Georgiev, Khaled Zennir
October 30, 2023

Multiplicative Partial Differential Equations presents an introduction to the theory of multiplicative partial differential equations (MPDEs). It is suitable for all types of basic courses on MPDEs. The authors' aim is to present a clear and well-organized treatment of the concepts behind the ...

Clean Numerical Simulation

Clean Numerical Simulation

1st Edition

By Shijun Liao
October 25, 2023

This book describes the basic principles of Clean Numerical Simulation (CNS) proposed by the author in 2009, as well as several of its applications. Unlike conventional algorithms, CNS gives in a sufficiently long interval of time a convergent chaotic trajectory whose numerical noise is much lower ...

Delay Ordinary and Partial Differential Equations

Delay Ordinary and Partial Differential Equations

1st Edition

By Andrei D. Polyanin, Vsevolod G. Sorokin, Alexei I. Zhurov
August 28, 2023

Delay Ordinary and Partial Differential Equations 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 ...

Computational Mathematics An introduction to Numerical Analysis and Scientific Computing with Python

Computational Mathematics: An introduction to Numerical Analysis and Scientific Computing with Python

1st Edition

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 ...

Quantum Computation

Quantum Computation

1st Edition

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 ...

Advanced Engineering Mathematics A Second Course with MatLab

Advanced Engineering Mathematics: A Second Course with MatLab

1st Edition

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 ...

Handbook of Fractional Calculus for Engineering and Science

Handbook of Fractional Calculus for Engineering and Science

1st Edition

Edited 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...

Advanced Engineering Mathematics with MATLAB

Advanced Engineering Mathematics with MATLAB

5th Edition

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 ...

Handbook of Differential Equations

Handbook of Differential Equations

4th Edition

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 ...

Experimental Statistics and Data Analysis for Mechanical and Aerospace Engineers

Experimental Statistics and Data Analysis for Mechanical and Aerospace Engineers

1st Edition

By James A. Middleton
December 03, 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...

Observability and Mathematics Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling

Observability and Mathematics: Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling

1st Edition

By Boris Khots
November 22, 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 ...

Separation of Variables and Exact Solutions to Nonlinear PDEs

Separation of Variables and Exact Solutions to Nonlinear PDEs

1st Edition

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 ...

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