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2 Table of Contents: “... of nonlinear systems of equations -- Numerical integration with regorous error estimation -- Additional notes...”

3 Table of Contents: “... of Runge-Kutta methods for index 2 systems -- Convergence for index 3 problems -- Solution of nonlinear...”

4 Table of Contents: “... Nonlinear Systems and Least-Squares Problems -- 4.1 Fixed-Point Iterations -- 4.2 Newton Methods...”

5 Table of Contents: “... -- Solution of Linear Systems of Equations -- Solution of Nonlinear Systems of Equations -- Element Types...”

6 Table of Contents: “... Conservation Laws -- 4 Some Scalar Examples -- 5 Some Nonlinear Systems -- 6 Linear Hyperbolic Systems 58 -- 7...”

7 Table of Contents: “... Arithmetic -- Interval Methods for Nonlinear Systems -- Algorithms for Multiplication with Given Precision...”

8 Table of Contents: “... -- 13 Nonlinear Systems of Equations -- 14 Global Optimization -- A Utility Modules -- A.l Module b_util...”

9 Table of Contents: “... of Large Linear and Nonlinear Systems -- The Accuracy of Numerical Models for Continuum Problems -- Domain...”

10 Table of Contents: “... Optimization -- 12 Automatic Differentiation for Gradients, Jacobians, and Hessians -- 13 Nonlinear Systems...”

11 Table of Contents: “...Parametric Analysis for a Nonlinear System -- Extended Splicing System and Semigroup of Dominoes...”

12 Table of Contents: “... algorithm for coupled nonlinear systems -- Optimization of multistage processes described by differential...”

13 Table of Contents: “... of Nonlinear Systems in the Analysis of Chemical Processes -- Verified Numerical Analysis of the Performance...”

14 Table of Contents: “... study of the stability of the interface between two inmiscible viscous fluids -- Solving Large nonlinear...”

15 Table of Contents: “... of MACSYMA to nonlinear systems decoupling...”

16 Table of Contents: “... Decomposition -- 5.3 Tikhonov Regularization -- Problems -- 6 Iterative Methods for Nonlinear Systems -- 6.1...”

17 Table of Contents: “... for Underdetermined Nonlinear Systems -- 3.4 Convergence Properties of Newton’s Method -- 4 Solving the Linear Systems...”

18 “... of nonlinear systems, least squares prob­ lems, interpolation by polynomials, numerical quadrature...”

19 “.... Applications will be considered especially in the case where nonlinear systems of partial differential...”

20 “... extremely large, nonlinear systems of equations, whose numerical solution is prohibitively costly in terms...”