Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional an

Partial differential equations --- Numerical solutions of differential equations --- Mathematical physics --- Navier-Stokes equations. --- Navier-Stokes equations --- Navier-Stokes, Equations de --- ELSEVIER-B EPUB-LIV-FT --- Equations, Navier-Stokes --- Differential equations, Partial --- Fluid dynamics --- Viscous flow --- 519.6 --- 681.3 *G18 --- Fluides, Dynamique des --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Equations de navier-stokes --- Traitement numerique

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Efficient numerical solution of realistic and, therefore, complex equation systems occupies many researchers in many disciplines. For various reasons, but mainly in order to approximate reality, a very large number of unknowns are needed. Using classical techniques, the solution of such a system of equations would take too long, and so sometimes MultiLevel techniques are used to accelerate convergence. Over the last one and a half decades, the authors have studied the problem of Elastohydrodynamic Lubrication, governed by a complex integro-differential equation. Their work has resulted in a very efficient and stable solver. In this book they describe the different intermediate problems analyzed and solved, and how those ingredients finally come together in the EHL solver. A number of these intermediate problems, such as Hydrodynamic Lubrication and Dry Contact, are useful in their own right. In the Appendix the full codes of the Poisson problem, the Hydrodynamic Lubrication problem, the dry contact solver and the EHL solver are given. These codes are all written in 'C' language, based on the 'ANSI-C' version.

Lubrication and lubricants. --- Lubrifiants --- Lubrication and lubricants --- 519.6 --- 681.3 *G18 --- Grease --- Lubricants --- Tribology --- Bearings (Machinery) --- Lubrication systems --- Oils and fats --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Mechanical Engineering - General --- Mechanical Engineering --- Engineering & Applied Sciences --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Tribology. --- Friction --- Surfaces (Technology) --- Lubrification

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This latest volume in the Wavelets Analysis and Its Applications Series provides significant and up-to-date insights into recent developments in the field of wavelet constructions in connection with partial differential equations. Specialists in numerical applications and engineers in a variety of fields will find Multiscale Wavelet for Partial Differential Equations to be a valuable resource.Key Features* Covers important areas of computational mechanics such as elasticity and computational fluid dynamics* Includes a clear study of turbulence modeling* Contains rece

Numerical solutions of differential equations --- Differential equations, Partial --- Wavelets (Mathematics) --- 517.518.8 --- 681.3 *G18 --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Approximation of functions by polynomials and their generalizations --- Wavelet analysis --- Harmonic analysis --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Numerical analysis --- Numerical solutions --- Numerical solutions.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Construction Of Integration Formulas For Initial Value Problems

Mathematical physics --- Electromagnetism. Ferromagnetism --- Differential equations --- Initial value problems --- Équations différentielles. --- Problèmes aux valeurs initiales. --- Développements asymptotiques --- Col, Méthode du --- Asymptotic expansions --- Method of steepest descent (Numerical analysis) --- Numerical integration --- Problèmes aux valeurs initiales --- Intégration numérique --- Wave-motion, Theory of. --- Wave equation. --- Asymptotic expansions. --- Initial value problems. --- Numerical integration. --- Wave equations --- Asymptotic theory. --- Asymptotic developments --- Asymptotes --- Convergence --- Difference equations --- Divergent series --- Functions --- Numerical analysis --- Differential equations, Partial --- Wave-motion, Theory of --- Undulatory theory --- Mechanics --- 519.6 --- 681.3*G17 --- 681.3 *G18 --- 532 --- 532 Fluid mechanics in general. Mechanics of liquids (hydromechanics) --- Fluid mechanics in general. Mechanics of liquids (hydromechanics) --- Développements asymptotiques --- Col, Méthode du --- Ondes --- Propagation --- Differential equations. --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Problems, Initial value --- Boundary value problems --- Analyse numerique --- Equations differentielles ordinaires --- Equations differentielles --- Methodes numeriques --- Equations aux derivees partielles hyperboliques --- Transformation de laplace --- Geophysique --- Geodynamique --- Seismologie