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Time-Dependent Partial Differential Equations and Their Numerical Solution
Kreiss, H.; Busenhart, Hedwig Ulmer
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Description for Time-Dependent Partial Differential Equations and Their Numerical Solution
Paperback. 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.
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.
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.
Product Details
Format
Paperback
Publication date
2001
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
82
Condition
New
Series
Lectures in Mathematics. ETH Zurich
Number of Pages
82
Place of Publication
Basel, Switzerland
ISBN
9783764361259
SKU
V9783764361259
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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