TY - BOOK AU - Larsson, Stig AU - Thomee, Vidar TI - Partial differential equations with numerical methods SN - 3540017720 U1 - 515.353 PY - 2003/// CY - Berlin PB - Springer KW - Differential equations KW - Finite differences KW - Finite element method KW - Numerical analysis KW - Mathematics N1 - 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 -