Numerical Models for Differential Problems

Name: Numerical Models for Differential Problems
Brand: SPRINGER-VERLAG GmbH
SKU: 402352
Price: 44.64 EUR
Availability: InStock

A. M. QUARTERONI

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ISBN

9788847010703

Mladinska knjiga ID

402352

Leto izida

2009

Datum izida

28.02.2009

Status dobavljivosti

Na zalogi pri dobavitelju

Jezik

ANG

Založnik

SPRINGER-VERLAG GmbH

Avtor

A. M. QUARTERONI

Opis

PdeIntroduces the basic concepts for the numerical modelling of partial differential equations. This work considers the classical elliptic, parabolic and hyperbolic linear equations, and also the diffusion, transport, and Navier-Stokes equations. It covers equations representing conservation laws, saddle-point problems and optimal control problems.Introduction.- 1 A brief survey on partial differential equations.- 2 Elliptic equations.- 3 The Galerkin finite element method for elliptic problems.- 4 Spectral methods.- 5 Diffusion-transport-reaction equations.- 6 Parabolic equations.- 7 Finite differences for hyperbolic equations.- 8 Finite elements and spectral methods for hyperbolic equations.- 9 Nonlinear hyperbolic problems.- 10 The Navier-Stokes equations.- 11 Finite element programming.- 12 Generation of 1D and 2D grids.- 13 The finite volume method.- 14 Domain decomposition method.- 15 Optimal control problems for partial differential equations.- 16 Reduced basis methods.- 17 Appendix A: Elements of functional analysis.- 18 Appendix B: Solution of algebraic systems.