The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the...

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Partial Differential Equations with Numerical Methods (Texts in Applied Mathematics, 45)

Larsson, Stig; Thomee, Vidar

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