In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems.
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. 82 pp. Englisch. Bestandsnummer des Verkäufers 9783764361259
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Zustand: New. Studies time-dependent partial differential equations and their numerical solution, developing the analytic and the numerical theory in parallel, and placing emphasis on the discretization of boundary conditions. This work applies theoretical results to Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. Series: Lectures in Mathematics. ETH Zurich. Num Pages: 82 pages, biography. BIC Classification: PBKJ; PBKS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 4. Weight in Grams: 159. . 2001. Paperback. . . . . Bestandsnummer des Verkäufers V9783764361259
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