Differential calculus and equations

The sequential quadratic hamiltonian (SQH) method is a novel numerical optimization procedure for solving optimal control problems governed by differential models.

This newly updated volume of the  Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons.

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces.

This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach.

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Die Wellengleichung besitzt vielseitige Anwendungen und reichhaltige Facetten.

This book is aimed to undergraduate STEM majors and to researchers using ordinary differential equations.

This book convenes peer-reviewed, selected papers presented at the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Sozopol, Bulgaria, June 17-20, 2022.

This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and anyone wanting to improve their mathematical knowledge by a clear, live, self-contained and motivated text.

The use of difference matrices and high-level MATLAB(R) commands to implement finite difference algorithms is pedagogically novel.

This textbook is an introduction to the methods needed to solve partial differential equations (PDEs).

This book provides a modern perspective on the analytic structure of scattering amplitudes in quantum field theory, with the goal of understanding and exploiting consequences of unitarity, causality, and locality.

This brief research monograph uses modern mathematical methods to investigate partial differential equations with nonlinear convolution terms, enabling readers to understand the concept of a solution and its asymptotic behavior.

This textbook introduces the study of partial differential equations using both analytical and numerical methods.

This monograph explores the design of controllers that suppress oscillations and instabilities in congested traffic flow using PDE backstepping methods.

This book contains the revised selected papers of the International Conference on Dynamic Monitoring and Optimization, DCO 2021, held in Aveiro, Portugal, February 3-5, 2021.

This brief book introduces the Poisson-Boltzmann equation in three chapters that build upon one another, offering a systematic entry to advanced students and researchers.

This book discusses numerical methods for solving time-fractional evolution equations.

The Special Issues of Tbilisi Mathematical Journal are fully refereed international publications, publishing original research papers in all areas of pure and applied mathematics.

With the aim to better understand nature, mathematical tools are being used nowadays in many different fields.

With the aim to better understand nature, mathematical tools are being used nowadays in many different fields.

This brief book introduces the Poisson-Boltzmann equation in three chapters that build upon one another, offering a systematic entry to advanced students and researchers.

The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media.

Inverse Scattering Problems and Their Applications to Nonlinear Integrable Equations, Second Edition is devoted to inverse scattering problems (ISPs) for differential equations and their applications to nonlinear evolution equations (NLEEs).

This proceedings volume convenes selected, peer-reviewed papers presented at the 3rd International Conference on Mathematics and its Applications in Science and Engineering - ICMASE 2022, which was held on July 4-7, 2022 by the Technical University of Civil Engineering of Bucharest, Romania.

This book collects papers related to the session "e;Harmonic Analysis and Partial Differential Equations"e; held at the 13th International ISAAC Congress in Ghent and provides an overview on recent trends and advances in the interplay between harmonic analysis and partial differential equations.

Perturbed functional iterations (PFI) is a large scale nonlinear system solver.

As a very important part of nonlinear analysis, fixed point theory plays a key role in solvability of many complex systems from mathematics applied to chemical reactors, neutron transport, population biology, infectious diseases, economics, applied mechanics, and more.

As a very important part of nonlinear analysis, fixed point theory plays a key role in solvability of many complex systems from mathematics applied to chemical reactors, neutron transport, population biology, infectious diseases, economics, applied mechanics, and more.

Stochastic Differential Equations for Science and Engineering is aimed at students at the M.

Stochastic Differential Equations for Science and Engineering is aimed at students at the M.

A differential equations study guide contains all of the formulas students taking calculus or a differential equations class would need to complete specific problems, so students in these classes can use it as a reference when completing homework or studying for an exam.

A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations.

This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations.

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations.

This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience.

The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains.

Boundary Value Problems, Sixth Edition, is the leading text on boundary value problems and Fourier series for professionals and students in engineering, science, and mathematics who work with partial differential equations.

Tough Test Questions?

Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems.

Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds.

A step-by-step illustrated introduction to the astounding mathematics of symmetryThis lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry.

This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces.

This book develops a full theory for hinged beams and degenerate plates with multiple intermediate piers with the final purpose of understanding the stability of suspension bridges.

These proceedings are based on the international conference Approximation Theory XVI held on May 19-22, 2019 in Nashville, Tennessee.

This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019.

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE.

The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology.

This Festschrift contains five research surveys and thirty-four shorter contributions by participants of the conference 'Stochastic Partial Differential Equations and Related Fields' hosted by the Faculty of Mathematics at Bielefeld University, October 10-14, 2016.