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Numerical Methods For Elliptic Problems With Singularities

This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities. Part I gives the;

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Optimization in Solving Elliptic Problems

- the optimization of numerical algorithms for solving elliptic problems. It presents detailed discussions of how asymptotically optimal;

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Elliptic Theory on Singular Manifolds

of Atiyah-Bott-Lefschetz type, and proofs of index formulas for elliptic operators and problems on manifolds with singularities, including the;

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Elliptic Theory on Singular Manifolds

of Atiyah-Bott-Lefschetz type, and proofs of index formulas for elliptic operators and problems on manifolds with singularities, including the;

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Numerical Methods and Applications (1994)

elliptic problems encountered in problems of composite material mechanics, Navier-Stokes systems, and nonstationary problems with discontinuous;

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Singular Solutions of Nonlinear Elliptic and Parabolic Equations

equations with L1-data and questions on the removability of singularities of solutions to elliptic and parabolic second-order equations;

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Difference Methods for Singular Perturbation Problems

in numerical methods. The first part of the book explores boundary value problems for elliptic and parabolic reaction-diffusion and convection;

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Numerical Methods for Elliptic and Parabolic Partial Differential Equations

This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite;

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Robust Computational Techniques for Boundary Layers

solutions with singularities related to boundary layers. They present a new numerical technique that provides precise results in the boundary layer;

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Robust Computational Techniques for Boundary Layers

solutions with singularities related to boundary layers. They present a new numerical technique that provides precise results in the boundary layer;

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Introduction To Computation & Modeling F

methods for parabolic, elliptic, and hyperbolic PDEs; mathematical modeling with differential equations; numerical solutions; and finite;

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Elliptic Differential Equations

This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the;

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Numerical Solution of Elliptic Problems

A study of the art and science of solving elliptic problems numerically, with an emphasis on problems that have important scientific and;

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Numerical Methods For Engineering Applications

State-of-the-art numerical methods for solving complex engineering problems Great strides in computer technology have been made in the;

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DirichletDirichlet Domain Decomposition Methods for Elliptic Problems

Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems;

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Mesh Enhancement

This book focuses on mesh (grid) enhancement techniques - specifically, the use of selected elliptic methods for both structured and;

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Computational Methods for Integral Equations

. This textbook provides a readable account of techniques for their numerical solution. The authors devote their attention primarily to efficient;

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Numerical Analysis And Optimization

numerical simulation. Covering the finite difference method; variational formulation of elliptic problems; Sobolev spaces; elliptical problems; the;

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Boundary Element Methods With Applications To Nonlinear Problems (2nd Edition)

, physical scientists and engineers at graduate and research level. It will be an invaluable sourcebook for all concerned with numerical modeling and;

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Finite Difference Methods in Heat Transfer

techniques to elliptic, parabolic, and hyperbolic problems Includes hybrid analytical-numerical approaches;

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Lectures on Elliptic and Parabolic Equations in Holder Spaces

simple computations. The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines;

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A Survey of Numerical Mathematics

Designed as a text for a three-semester course in numerical analysis, this highly regarded work presents a broad overview of computer;

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Exact Finite-Difference Schemes

. Construction of exact difference schemes for various parabolic and elliptic partial differential equations are discussed, including vibrations and;

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

Methods for Solving Elliptic and Parabolic Equation is divided into three parts: Part I focuses on the application of DG methods to second order;

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Exponentially Convergent Algorithms for Abstract Differential Equations

example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation;

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Optimal Control of Partial Differential Equations

Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential;

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Optimal Shape Design for Elliptic Systems

The study of optimal shape design can be arrived at by asking the following question: What is the best shape for a physical system? This;

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