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Numerical Methods for Partial Differential Equations

The Mathematical Gazette, 2000
1. Background Mathematics.- 1.1 Introduction.- 1.2 Vector and Matrix Norms.- 1.3 Gerschgorin's Theorems.- 1.4 Iterative Solution of Linear Algebraic Equations.- 1.5 Further Results on Eigenvalues and Eigenvectors.- 1.6 Classification of Second Order Partial Differential Equations.- 2.
Gwynne A. Evans   +2 more
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Numerical Solution of Sobolev Partial Differential Equations

SIAM Journal on Numerical Analysis, 1975
Finite difference techniques can be applied to the numerical solution of the initial-boundary value problem in S for the semilinear Sobolev or pseudo-parabolic equation \[ \sum\limits_{i = 1}^n {\left[ {\frac{\partial } {{\partial x_i }}\left( {a_i \frac{\partial } {{\partial x_i }}u_t } \right) + \frac{\partial } {{\partial x_i }}\left( {b_i \frac ...
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Numerical Solution of Partial Differential Equations.

1981
Abstract : Several problems relevant in the application of mechanics to real-world problems were treated. The work included theoretical analysis of solutions of partial differential equations, detailed studies of numerical techniques for approximately solving differential equations arising in mechanics, as well as actual numerical computations using ...
Theodor Meis, Ulrich Marcowitz
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Numerical Examples: Partial Differential Equations

1977
In this chapter, we will first show the numerical solution of the Dirichlet problem for a second order equation with nonconstant coefficients by the Ritz method. Then we give the solution of several modifications of this problem (the case of constant coefficients, the Neumann problem, the mixed problem).
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Numerical Solution of Partial Differential Equations

2005
This is the 2005 second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic ...
K. W. Morton, D. F. Mayers
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Numerical Methods for Partial Differential Equations

2020
These lecture notes are devoted to the numerical solution of partial differential equations (PDEs). PDEs arise in many fields and are extremely important in modeling of technical processes with applications in physics, biology, chemisty, economics, mechanical engineering, and so forth.
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Numerical Analysis and Partial Differential Equations

Physics Bulletin, 1959
By G. Forsythe and P. Rosenbloom London : Chapman & Hall Ltd. Pp. x + 204. Price 60s These two books are numbers II and V in a series forming a joint project of the (U.S.) Office of Naval Research and Applied Mechanics Reviews. A preface common to both volumes, by the Director of the Mathematical Sciences Division, O.N.R., includes the following ...
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Numerical Methods for Partial Differential Equations

Numerical Methods for Partial Differential Equations, 1992
Lungan Ying, Benyu Guo
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