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This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact

Civil engineering, surveying & building --- Environmental science, engineering & technology --- Structural analysis --- Computational mechanics --- Numerical algorithms --- Finite Element Method (FEM) --- Boundary Element Method (BEM)

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Numerical analysis --- FORTRAN (Computer program language) --- -519.6 --- Mathematical analysis --- Formula Translation (Computer program language) --- Programming languages (Electronic computers) --- Data processing --- Computational mathematics. Numerical analysis. Computer programming --- Data processing. --- FORTRAN (Computer program language). --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 519.6 --- NAG library. --- Subroutines (Computer programs) --- NAG Library (Computer programs) --- Numerical algorithms group library --- Algorithmes --- Analyse numérique. --- Algorithms

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Harmonic analysis. Fourier analysis --- FFT (fast Fourier transformatie) --- Discrete mathematics --- Fourier Analysis --- Fourier transformations --- Transformations de Fourier --- Fourier Analysis. --- 517.44 --- 681.3*F21 --- Fouriertransformatie --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Analysis, Cyclic --- Analysis, Fourier --- Cyclic Analysis --- Fourier Series --- Fourier Transform --- Analyses, Cyclic --- Cyclic Analyses --- Series, Fourier --- Transform, Fourier --- Wavelet Analysis --- Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- Numerical algorithms and problems: computation of transforms; computations infinite fields; computations on matrices; computations on polynomials; numer-theoretic computations--See also {681.3*G1}; {681.3*G4}; {681.3*I1} --- Fourier transformations. --- Fouriertransformaties --- Snelle fouriertransformatie --- Fouriertransformaties. --- Snelle fouriertransformatie. --- 681.3*F21 Numerical algorithms and problems: computation of transforms; computations infinite fields; computations on matrices; computations on polynomials; numer-theoretic computations--See also {681.3*G1}; {681.3*G4}; {681.3*I1} --- 517.44 Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- Fourier, Transformations de --- Analyse de fourier --- Fast fourier transform = fft

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Programming --- Numerical analysis --- Computer science --- NAG Library (Computer programs) --- FORTRAN (Computer program language) --- Subroutines (Computer programs) --- Analyse numérique --- FORTRAN (Langage de programmation) --- Sous-programmes (Logiciels) --- Computer programs --- Logiciels --- NAG library --- 519.68 --- -Subroutines (Computer programs) --- 519.6 --- 681.3*F21 --- 681.3*G --- Functions (Computer programs) --- Methods (Computer programs) --- Procedures (Computer programs) --- Routines (Computer programs) --- Subprograms (Computer programs) --- Mathematical analysis --- Formula Translation (Computer program language) --- Programming languages (Electronic computers) --- Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Numerical algorithms and problems: computation of transforms; computations infinite fields; computations on matrices; computations on polynomials; numer-theoretic computations--See also {681.3*G1}; {681.3*G4}; {681.3*I1} --- Mathematics of computing --- 681.3*G Mathematics of computing --- 681.3*F21 Numerical algorithms and problems: computation of transforms; computations infinite fields; computations on matrices; computations on polynomials; numer-theoretic computations--See also {681.3*G1}; {681.3*G4}; {681.3*I1} --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 519.68 Computer programming --- Analyse numérique --- NAG library. --- Numerical algorithms group library --- Algorithmes --- Analyse numérique. --- Algorithms --- Numerical analysis - Computer programs

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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