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Principles of Partial Differential Equations (Problem Books in Mathematics)
Principles of Partial Differential Equations (Problem Books in Mathematics)

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The...

An Introduction to Fronts in Random Media (Surveys and Tutorials in the Applied Mathematical Sciences)
An Introduction to Fronts in Random Media (Surveys and Tutorials in the Applied Mathematical Sciences)
The aim of this book is to give a user friendly tutorial of an interdisciplinary research topic (fronts in random media) to senior undergraduates and beginning graduate students with basic knowledge of partial differential equations (PDE) and probability. The approach taken is semi-formal, using elementary methods to introduce ideas and motivate...
Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics (Theoretical and Mathematical Physics)
Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics (Theoretical and Mathematical Physics)
Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists and philosophers. Modern technologies have made the question more actual and concrete with recent, remarkable progresses also...
Mathematical Methods: For Students of Physics and Related Fields (Lecture Notes in Physics)
Mathematical Methods: For Students of Physics and Related Fields (Lecture Notes in Physics)
Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important...
Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB
Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB
Initial value ordinary differential equations (ODEs) and partial differential equations (PDEs) are among the most widely used forms of mathematics in science and engineering. However, insights from ODE/PDE-based models are realized only when solutions to the equations are produced with acceptable accuracy and with reasonable effort.

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Solving PDEs in C++ (Computational Science and Engineering)
Solving PDEs in C++ (Computational Science and Engineering)
This comprehensive book not only introduces the C and C++ programming languages but also shows how to use them in the numerical solution of partial differential equations (PDEs). It leads the reader through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic...
Computer Algebra Recipes: An Advanced Guide to Scientific Modeling
Computer Algebra Recipes: An Advanced Guide to Scientific Modeling
A computer algebra system (CAS) not only has the number \crunching" and plotting capability of traditional computing languages such as Fortran and C, but also allows one to perform the symbolic manipulations and derivations required in most mathematically based science and engineering courses. To introduce students in these disciplines to...
A Compendium of Partial Differential Equation Models: Method of Lines Analysis with Matlab
A Compendium of Partial Differential Equation Models: Method of Lines Analysis with Matlab
A Compendium of Partial Differential Equation Models presents numerical methods and associated computer codes in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs), one of the mostly widely used forms of mathematics in science and engineering. The authors focus on the method of lines (MOL), a...
Oral Pharmacotherapy for Male Sexual Dysfunction: A Guide to Clinical Management (Current Clinical Urology)
Oral Pharmacotherapy for Male Sexual Dysfunction: A Guide to Clinical Management (Current Clinical Urology)

For the generation that reached sexual maturity in the 1960s, the “pill” became synonymous with sexual freedom and started a sexual revolution. For women it meant freedom from the fear of pregnancy, and for men enhanced sexual opportunity. The new era of the pill has nothing to do with fertility, but everything to do with sex. The...

Constrained Optimization and Optimal Control for Partial Differential Equations (International Series of Numerical Mathematics)
Constrained Optimization and Optimal Control for Partial Differential Equations (International Series of Numerical Mathematics)

This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in...

Advanced Topics in Computational Partial Differential Equations: Numerical Methods and Diffpack Programming
Advanced Topics in Computational Partial Differential Equations: Numerical Methods and Diffpack Programming

This book is about solving partial differential equations (PDEs) . Such equations are used to model a wide range of phenomena in virtually all fields of science and technology. In the last decade, the general availability of extremely powerful computers has shifted the focus in computational mathematics from simplified model problems...

Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course
Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course

This book concerns the practical solution of Partial Differential Equations (PDE). It reflects an interdisciplinary approach to problems occurring in natural Environmental Phenomena: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It assumes the reader has gained some intuitive knowledge of their solution...

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