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The world of laser matter interaction has known great and rapid advancements in the last few years, with a considerable increase in the number of both experimental and theoretical studies. The classical paradigm used to describe the dynamics of laser produced plasmas has been challenged by new peculiar phenomena observed experimentally, like plasma particles’ oscillations, plume splitting and self-structuring behavior during the expansion of the ejected particles. The use of multiple complementary techniques has become a requirement nowadays, as different aspects can be showcased by specific experimental approaches. To balance these non-linear effects and still remain tributary to the classical theoretical, views on laser produced plasma dynamics novel theoretical models that cover the two sides of the ablation plasma (differentiability and non-differentiability) still need to be developed. Plasma is a strongly nonlinear dynamic system, with many degrees of freedom and other symmetries, favorable for the development of ordered structures, instabilities and transitions (from ordered to chaotic states). In such contexts, we showcased research based on global and local symmetries, complexity and invariance. This special number highlighted exciting new phenomena related to laser produced plasma dynamics with the implementation of theoretical models, towards understanding the complex reality of laser matter interaction.

Lorenz system --- fractal analysis --- laser produced plasmas --- plasma structuring --- ionic oscillations --- optical emission spectroscopy --- laser ablation --- petrographic analysis --- fractal model --- group invariance --- nitinol --- pulsed laser deposition --- in situ plasma monitoring --- thin films --- fractal modelling --- SL(2R) invariance --- homographic transformations --- Riccati equation --- plasma diagnostic --- hydroxyapatite thin film --- charged particle oscillations --- Langmuir probe --- Lie groups --- joint invariant functions

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This book is a comprehensive set of articles reflecting on the application of symbolic and/or numerical computation in a range of scientific areas within the fields of engineering and science. These articles constitute extended versions of communications presented at the 4th International Conference on Numerical and Symbolic Computation—SYMCOMP 2019—that took place in Porto, Portugal, from 11 to 12 April 2019 The different chapters present diverse perspectives on the existing effective connections between mathematical methods and procedures and other knowledge areas. The intrinsic multidisciplinary character is visible throughout the whole book as a result of the applicability of the scope and the applications considered. The reader will find this book to be a useful resource for identifying problems of interest in different engineering and science areas, and in the development of mathematical models and procedures used in the context of prediction or verification computational tools as well as in the aided-learning/teaching context. This book is a must-read for anyone interested in the recent developments and applications of symbolic and numerical computation for a number of multidisciplinary engineering and science problems.

History of engineering & technology --- symbolic computation --- dynamic and interactive tool --- socio-economic sciences --- F-Tool concept --- PES(Linear)-Tool --- Wolfram Mathematica --- computable document format --- invariant functions --- contractions of algebras --- Lie algebras --- Malcev algebras --- Heisenberg algebras --- Tau method --- nonholonomic systems --- eigenvalue differential problems --- spectral methods --- Sturm–Liouville problems --- marketing innovation --- CIS 2014 --- multiple linear regression --- discriminant analysis --- numerical algorithms --- optimal control --- HIV/AIDS model --- GNU Octave --- open source code for optimal control through Pontryagin Maximum Principle --- Darcy --- Brinkman --- incompressible --- isogeometric analysis --- shear stress --- interstitial flow --- cancer --- NURBS --- n/a --- Sturm-Liouville problems

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is a comprehensive set of articles reflecting on the application of symbolic and/or numerical computation in a range of scientific areas within the fields of engineering and science. These articles constitute extended versions of communications presented at the 4th International Conference on Numerical and Symbolic Computation—SYMCOMP 2019—that took place in Porto, Portugal, from 11 to 12 April 2019 The different chapters present diverse perspectives on the existing effective connections between mathematical methods and procedures and other knowledge areas. The intrinsic multidisciplinary character is visible throughout the whole book as a result of the applicability of the scope and the applications considered. The reader will find this book to be a useful resource for identifying problems of interest in different engineering and science areas, and in the development of mathematical models and procedures used in the context of prediction or verification computational tools as well as in the aided-learning/teaching context. This book is a must-read for anyone interested in the recent developments and applications of symbolic and numerical computation for a number of multidisciplinary engineering and science problems.

History of engineering & technology --- symbolic computation --- dynamic and interactive tool --- socio-economic sciences --- F-Tool concept --- PES(Linear)-Tool --- Wolfram Mathematica --- computable document format --- invariant functions --- contractions of algebras --- Lie algebras --- Malcev algebras --- Heisenberg algebras --- Tau method --- nonholonomic systems --- eigenvalue differential problems --- spectral methods --- Sturm-Liouville problems --- marketing innovation --- CIS 2014 --- multiple linear regression --- discriminant analysis --- numerical algorithms --- optimal control --- HIV/AIDS model --- GNU Octave --- open source code for optimal control through Pontryagin Maximum Principle --- Darcy --- Brinkman --- incompressible --- isogeometric analysis --- shear stress --- interstitial flow --- cancer --- NURBS