Numerical Methods and Optimization [electronic resource] : A Consumer Guide /
Walter, Éric.author.
Initial training in pure and applied sciences tends to present problem-solving as the process of elaborating explicit closed-form solutions from basic principles, and then using these solutions in numerical applications. This approach is only applicable to very limited classes of problems that are simple enough for such closed-form solutions to exist. Unfortunately, most real-life problems are too complex to be amenable to this type of treatment. Numerical Methods and Optimization – A Consumer Guide presents methods for dealing with them. Shifting the paradigm from formal calculus to numerical computation, the text makes it possible for the reader to ·         discover how to escape the dictatorship of those particular cases that are simple enough to receive a closed-form solution, and thus gain the ability to solve complex, real-life problems; ·         understand the principles behind recognized algorithms used in state-of-the-art numerical software; Description based upon print version of record.
Includes bibliographical references at the end of each chapters and index.
From Calculus to Computation -- Notation and Norms -- Solving Systems of Linear Equations -- Solving Other Problems in Linear Algebra -- Interpolation and Extrapolation -- Integrating and Differentiating Functions -- Solving Systems of Nonlinear Equations -- Introduction to Optimization -- Optimizing Without Constraint -- Optimizing Under Constraints -- Combinatorial Optimization -- Solving Ordinary Differential Equations -- Solving Partial Differential Equations -- Assessing Numerical Errors -- WEB Resources to go Further -- Problems.
Initial training in pure and applied sciences tends to present problem-solving as the process of elaborating explicit closed-form solutions from basic principles, and then using these solutions in numerical applications. This approach is only applicable to very limited classes of problems that are simple enough for such closed-form solutions to exist. Unfortunately, most real-life problems are too complex to be amenable to this type of treatment. Numerical Methods and Optimization – A Consumer Guide presents methods for dealing with them. Shifting the paradigm from formal calculus to numerical computation, the text makes it possible for the reader to ·         discover how to escape the dictatorship of those particular cases that are simple enough to receive a closed-form solution, and thus gain the ability to solve complex, real-life problems; ·         understand the principles behind recognized algorithms used in state-of-the-art numerical software; Applied mathematics.
Engineering mathematics.
Computer science—Mathematics.
Calculus of variations.
Numerical analysis.
Mathematical and Computational Engineering.
Math Applications in Computer Science.
Calculus of Variations and Optimal Control; Optimization.
Numerical Analysis.