Computational Differential Equations

Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics (Repost)

Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics by Yurii N. Grigoriev , Nail H. Ibragimov , Vladimir F. Kovalev , Sergey V. Meleshko
English | PDF | 2010 | 318 Pages | ISBN : 9048137969 | 2.5 MB

This book aims to coherently present applications of group analysis to integro-differential equations in an accessible way. The book will be useful to both physicists and mathematicians interested in general methods to investigate nonlinear problems using symmetries.

Differential Equations, Mathematical Modeling and Computational Algorithms  eBooks & eLearning

Posted by AvaxGenius at June 9, 2023
Differential Equations, Mathematical Modeling and Computational Algorithms

Differential Equations, Mathematical Modeling and Computational Algorithms: DEMMCA 2021, Belgorod, Russia, October 25–29 by Vladimir Vasilyev
English | EPUB (True) | 2023 | 294 Pages | ISBN : 3031285042 | 26.4 MB

This book contains reports made at the International Conference on Differential Equations, Mathematical Modeling and Computational Algorithms, held in Belgorod, Russia, in October 2021 and is devoted to various aspects of the theory of differential equations and their applications in various branches of science. Theoretical papers devoted to the qualitative analysis of emerging mathematical objects, theorems of the existence and uniqueness of solutions to the boundary value problems under study are presented, and numerical algorithms for their solution are described. Some issues of mathematical modeling are also covered; in particular, in problems of economics, computational aspects of the theory of differential equations and boundary value problems are studied. The articles are written by well-known experts and are interesting and useful to a wide audience: mathematicians, representatives of applied sciences and students and postgraduates of universities engaged in applied mathematics.

Differential Equations, Mathematical Modeling and Computational Algorithms  eBooks & eLearning

Posted by AvaxGenius at June 9, 2023
Differential Equations, Mathematical Modeling and Computational Algorithms

Differential Equations, Mathematical Modeling and Computational Algorithms: DEMMCA 2021, Belgorod, Russia, October 25–29 by Vladimir Vasilyev
English | PDF (True) | 2023 | 294 Pages | ISBN : 3031285042 | 3.8 MB

This book contains reports made at the International Conference on Differential Equations, Mathematical Modeling and Computational Algorithms, held in Belgorod, Russia, in October 2021 and is devoted to various aspects of the theory of differential equations and their applications in various branches of science. Theoretical papers devoted to the qualitative analysis of emerging mathematical objects, theorems of the existence and uniqueness of solutions to the boundary value problems under study are presented, and numerical algorithms for their solution are described. Some issues of mathematical modeling are also covered; in particular, in problems of economics, computational aspects of the theory of differential equations and boundary value problems are studied. The articles are written by well-known experts and are interesting and useful to a wide audience: mathematicians, representatives of applied sciences and students and postgraduates of universities engaged in applied mathematics.

Differential Equations for Studies in Computational Electrophysiology  eBooks & eLearning

Posted by AvaxGenius at May 28, 2023
Differential Equations for Studies in Computational Electrophysiology

Differential Equations for Studies in Computational Electrophysiology by Karoline Horgmo Jæger , Aslak Tveito
English | PDF (True) | 2023 | 134 Pages | ISBN : 3031308514 | 4.4 MB

This text aims at giving you the simplest possible introduction to differential equations that are used in models of electrophysiology. It covers models at several spatial and temporal scales with associated numerical methods. The text demonstrates that a very limited number of fundamental techniques can be used to define numerical methods for equations ranging from ridiculously simple to extremely complex systems of partial differential equations. Every method is implemented in Matlab and the codes are freely available online. By using these codes, the reader becomes familiar with classical models of electrophysiology, like the cable equation, the monodomain model, and the bidomain model. But modern models that have just started to gain attention in the field of computational electrophysiology are also presented. If you just want to read one book, it should probably not be this one, but if you want a simple introduction to a complex field, it is worth considering the present text.

Numerical Solution of Partial Differential Equations on Parallel Computers (Repost)  eBooks & eLearning

Posted by AvaxGenius at June 10, 2022
Numerical Solution of Partial Differential Equations on Parallel Computers (Repost)

Numerical Solution of Partial Differential Equations on Parallel Computers by Are Magnus Bruaset
English | PDF | 2006 | 491 Pages | ISBN : 3540290761 | 7.2 MB

Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs).
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations (Repost)

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations by Tarek Poonithara Abraham Mathew
English | PDF | 2008 | 774 Pages | ISBN : 3540772057 | 5.8 MB

Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations.
Computational Partial Differential Equations: Numerical Methods and Diffpack Programming

Computational Partial Differential Equations: Numerical Methods and Diffpack Programming by Hans Petter Langtangen
English | PDF | 1999 | 704 Pages | ISBN : N/A | 65 MB

During the last decades there has been a tremendous advancement of com­ puter hardware, numerical algorithms, and scientific software. Engineers and scientists are now equipped with tools that make it possible to explore real­ world applications of high complexity by means of mathematical models and computer simulation. Experimentation based on numerical simulation has become fundamental in engineering and many of the traditional sciences. A common feature of mathematical models in physics, geology, astrophysics, mechanics, geophysics, as weH as in most engineering disciplines, is the ap­ pearance of systems of partial differential equations (PDEs). This text aims at equipping the reader with tools and skills for formulating solution methods for PDEs and producing associated running code. Successful problem solving by means of mathematical models inscience and engineering often demands a synthesis of knowledge from several fields.

Computational Optimization of Systems Governed by Partial Differential Equations  eBooks & eLearning

Posted by arundhati at May 19, 2020
Computational Optimization of Systems Governed by Partial Differential Equations

Alfio Borzì, "Computational Optimization of Systems Governed by Partial Differential Equations "
English | ISBN: 1611972043 | 2012 | 306 pages | PDF | 7 MB

Symmetry Analysis of Differential Equations with Mathematica®  eBooks & eLearning

Posted by AvaxGenius at Feb. 21, 2022
Symmetry Analysis of Differential Equations with Mathematica®

Symmetry Analysis of Differential Equations with Mathematica® by Gerd Baumann
English | PDF | 2000 | 532 Pages | ISBN : 0387985522 | 61.5 MB

The purpose of this book is to provide the reader with a comprehensive introduction to the applications of symmetry analysis to ordinary and partial differential equations. The theoretical background of physics is illustrated by modem methods of computer algebra. The presentation of the material in the book is based on Mathematica 3.0 note­ books. The entire printed version of this book is available on the accompanying CD.

Meshfree Methods for Partial Differential Equations IV  eBooks & eLearning

Posted by AvaxGenius at June 10, 2022
Meshfree Methods for Partial Differential Equations IV

Meshfree Methods for Partial Differential Equations IV by Michael Griebel
English | PDF | 2008 | 404 Pages | ISBN : 3540799931 | 23.9 MB

The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models.