Partial differential equations with numerical methods/
Stig Larsson and Vidar Thomee
- Berlin: Springer, c2003.
- ix, 259 p. : ill. ; 24 cm.
- (Texts in applied mathematics), 43 .
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.
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Differential equations Finite differences Finite element method Numerical analysis Mathematics