The material in this book is illustrated both with simple examples and with more complex results of numerical experiments. So, the authors of the monograph try to attract the attention of a more or less wide circle of researchers to new approaches which can result in some impulse to the creation of new technologies of planning the experiments, and the investigation of complex systems while solving applied problems.

Marchuk, Guri I. | Agoshkov, Valeri I. | Shutyaev, Victor P.

Principles of Construction of Adjoint Operators in Non-Linear Problems. Properties of Adjoint Operators Constructed on the Basis of Various Principles. Solvability of Main and Adjoint Equations in Non-Linear Problems. Transformation Groups, Conservation Laws and Construction of the Adjoint Operators in Non-Linear Problems. Perturbation Algorithms in Non-Linear Problems. Adjoint Equations and the N-th Order Perturbation Algorithms in Non-Linear Problems of Transport Theory. Adjoint Equations and Perturbation Algorithms for a Quasilinear Equation of Motion. Adjoint Equations and Perturbation Algorithms for a Non-Linear Mathematical Model of Mass Transfer in Soil. Applications of Adjoint Equations in Science and Technology.
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