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This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.
Numerical Solution of Differential Equations
Numerical Methods for Partial Differential Equations
Numerical Differential Equations: Theory And Technique, Ode Methods, Finite Differences, Finite Elements And Collocation
Numerical Methods for Elliptic and Parabolic Partial Differential Equations
Numerical Solution of Partial Differential Equations
Computational Partial Differential Equations Using MATLAB(R)
Finite Volume Methods for Hyperbolic Problems
Finite Element Methods
Handbook of Numerical Methods for Hyperbolic Problems
Group Explicit Methods for the Numerical Solution of Partial Differential Equations
Time-Dependent Problems and Difference Methods
Numerical Analysis of Partial Differential Equations