Tools for PDE - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tools for PDE write by Michael E. Taylor. This book was released on 2000. Tools for PDE available in PDF, EPUB and Kindle. Developing three related tools that are useful in the analysis of partial differential equations (PDEs) arising from the classical study of singular integral operators, this text considers pseudodifferential operators, paradifferential operators, and layer potentials.
Tools and Problems in Partial Differential Equations
Tools and Problems in Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tools and Problems in Partial Differential Equations write by Thomas Alazard. This book was released on 2020-10-19. Tools and Problems in Partial Differential Equations available in PDF, EPUB and Kindle. This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations. Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier-Stokes equations. Essentially self-contained, the book begins with problems on the necessary tools from functional analysis, distributions, and the theory of functional spaces, and in each chapter the problems are preceded by a summary of the relevant results of the theory. Informed by the authors' extensive research experience and years of teaching, this book is for graduate students and researchers who wish to gain real working knowledge of the subject.
New Tools for Nonlinear PDEs and Application
New Tools for Nonlinear PDEs and Application - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Tools for Nonlinear PDEs and Application write by Marcello D'Abbicco. This book was released on 2019-05-07. New Tools for Nonlinear PDEs and Application available in PDF, EPUB and Kindle. This book features a collection of papers devoted to recent results in nonlinear partial differential equations and applications. It presents an excellent source of information on the state-of-the-art, new methods, and trends in this topic and related areas. Most of the contributors presented their work during the sessions "Recent progress in evolution equations" and "Nonlinear PDEs" at the 12th ISAAC congress held in 2017 in Växjö, Sweden. Even if inspired by this event, this book is not merely a collection of proceedings, but a stand-alone project gathering original contributions from active researchers on the latest trends in nonlinear evolution PDEs.
Principles of Partial Differential Equations
Principles of Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Principles of Partial Differential Equations write by Alexander Komech. This book was released on 2009-10-05. Principles of Partial Differential Equations available in PDF, EPUB and Kindle. This concise book covers the classical tools of Partial Differential Equations Theory in today’s science and engineering. The rigorous theoretical presentation includes many hints, and the book contains many illustrative applications from physics.
PETSc for Partial Differential Equations: Numerical Solutions in C and Python
PETSc for Partial Differential Equations: Numerical Solutions in C and Python - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook PETSc for Partial Differential Equations: Numerical Solutions in C and Python write by Ed Bueler. This book was released on 2020-10-22. PETSc for Partial Differential Equations: Numerical Solutions in C and Python available in PDF, EPUB and Kindle. The Portable, Extensible Toolkit for Scientific Computation (PETSc) is an open-source library of advanced data structures and methods for solving linear and nonlinear equations and for managing discretizations. This book uses these modern numerical tools to demonstrate how to solve nonlinear partial differential equations (PDEs) in parallel. It starts from key mathematical concepts, such as Krylov space methods, preconditioning, multigrid, and Newton’s method. In PETSc these components are composed at run time into fast solvers. Discretizations are introduced from the beginning, with an emphasis on finite difference and finite element methodologies. The example C programs of the first 12 chapters, listed on the inside front cover, solve (mostly) elliptic and parabolic PDE problems. Discretization leads to large, sparse, and generally nonlinear systems of algebraic equations. For such problems, mathematical solver concepts are explained and illustrated through the examples, with sufficient context to speed further development. PETSc for Partial Differential Equations addresses both discretizations and fast solvers for PDEs, emphasizing practice more than theory. Well-structured examples lead to run-time choices that result in high solver performance and parallel scalability. The last two chapters build on the reader’s understanding of fast solver concepts when applying the Firedrake Python finite element solver library. This textbook, the first to cover PETSc programming for nonlinear PDEs, provides an on-ramp for graduate students and researchers to a major area of high-performance computing for science and engineering. It is suitable as a supplement for courses in scientific computing or numerical methods for differential equations.
