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Schrödinger equation --- Numerical grid generation (Numerical analysis) --- Congresses. --- Schrödinger equation - Congresses. --- Numerical grid generation (Numerical analysis) - Congresses.

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The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject.

Mathematical analysis. --- Mathematics. --- Numerical grid generation (Numerical analysis) -- Congresses. --- Fluid mechanics --- Navier-Stokes equations --- Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Civil Engineering --- Mathematical Theory --- Calculus --- Mathematical models --- Navier-Stokes equations. --- Equations, Navier-Stokes --- Partial differential equations. --- Fluids. --- Fluid mechanics. --- Partial Differential Equations. --- Engineering Fluid Dynamics. --- Fluid- and Aerodynamics. --- Hydromechanics --- Continuum mechanics --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Partial differential equations --- Math --- Science --- Differential equations, Partial --- Fluid dynamics --- Viscous flow

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Meshfree methods, particle methods, and generalized finite element methods have witnessed substantial development since the mid 1990s. The growing interest in these methods is due in part to the fact that they are extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods offer a number of advantageous features which are especially attractive when dealing with multiscale phenomena: a priori knowledge about particular local behavior of the solution can easily be introduced in the meshfree approximation space, and coarse-scale approximations can be seamlessly refined with fine-scale information. This volume collects selected papers presented at the Seventh International Workshop on Meshfree Methods, held in Bonn, Germany in September 2013. They address various aspects of this highly dynamic research field and cover topics from applied mathematics, physics and engineering.

Mathematics. --- Computational Mathematics and Numerical Analysis. --- Appl.Mathematics/Computational Methods of Engineering. --- Numeric Computing. --- Electronic data processing. --- Computer science --- Engineering mathematics. --- Mathématiques --- Informatique --- Mathématiques de l'ingénieur --- Differential equations, Partial -- Numerical solutions -- Congresses. --- Meshfree methods (Numerical analysis) -- Congresses. --- Numerical grid generation (Numerical analysis) -- Congresses. --- Mathematics --- Physical Sciences & Mathematics --- Mathematics - General --- Differential equations, Partial --- Meshfree methods (Numerical analysis) --- Gridless methods (Numerical analysis) --- Meshfree discretization techniques (Numerical analysis) --- Meshless methods (Numerical analysis) --- Numerical analysis --- Numerical solutions --- Conferences - Meetings --- Differential equations, Partial. --- Partial differential equations --- Numerical analysis. --- Computer mathematics. --- Applied mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Mathematical and Computational Engineering. --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Automation

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This volume contains the articles presented at the 18th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held October 25-28, 2009 in Salt Lake City, Utah, USA. The first IMR was held in 1992, and the conference has been held annually since. Each year the IMR brings together researchers, developers, and application experts, from a variety of disciplines, to present and discuss ideas on mesh generation and related topics. The topics covered by the IMR have applications in numerical analysis, computational geometry, computer graphics, as well as other areas, and the presentations describe novel work ranging from theory to application.

Numerical grid generation (Numerical analysis) --Congresses. --- Numerical grid generation (Numerical analysis) --- Engineering & Applied Sciences --- Mathematics --- Calculus --- Computer Science --- Physical Sciences & Mathematics --- Differential equations, Partial --- Numerical solutions --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Engineering. --- Computer simulation. --- Computer graphics. --- Applied mathematics. --- Engineering mathematics. --- Computational intelligence. --- Mechanics. --- Mechanics, Applied. --- Computational Intelligence. --- Applications of Mathematics. --- Simulation and Modeling. --- Theoretical and Applied Mechanics. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Engineering --- Engineering analysis --- Mathematical analysis --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Construction --- Industrial arts --- Technology --- Digital techniques --- Boundary value problems --- Nets (Mathematics) --- Numerical analysis --- Mathematics. --- Mechanics, applied. --- Computer vision. --- Machine vision --- Vision, Computer --- Pattern recognition systems --- Math --- Science --- Optical data processing. --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment