TY - BOOK AU - Larsson,S. AU - Thomée,Vidar TI - Partial differential equations with numerical methods T2 - Texts in applied mathematics, SN - 3540017720 AV - QA374 .L337 2005 PY - 2005/// CY - Berlin, New York PB - Springer KW - Differential equations, Partial KW - Numerical solutions N1 - Includes bibliographical references (pages [253]-255) and index; Introduction; -- A two-point boundary value problem; -- Elliptic equations; -- Finite difference methods for elliptic equations; -- Finite element methods for elliptic equations; -- The elliptic eigenvalue problem; -- Initial-value problems for ODEs; -- Parabolic equations; -- Finite difference methods for parabolic problems; -- The finite element method for a parabolic problem; -- Hyperbolic equations; -- Finite difference methods for hyperbolic equations; -- The finite element method for hyerbolic equations; -- Some other classes of numerical methods; -- Some tools from mathematical analysis; -- Orientation on numerical linear algebra ER -