An Introduction to the Numerical Analysis of Spectral Methods
Mercier, Bertrand.
An Introduction to the Numerical Analysis of Spectral Methods [electronic resource] / by Bertrand Mercier. - V, 154 p. 1 illus. online resource. - Lecture Notes in Physics, 318 0075-8450 ; . - Lecture Notes in Physics, 318 .
This is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences. The first part is a fairly complete introduction to Fourier series while the second emphasizes polynomial expansion methods like Chebyshev's. The author gives rigorous proofs of fundamental results related to one-dimensional advection and diffusions equations. The book addresses students as well as practitioners of numerical analysis.
9783540461586
10.1007/BFb0020591 doi
Mathematical physics.
Engineering mathematics.
Numerical analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Fluid- and Aerodynamics.
Mathematical and Computational Engineering.
Numerical Analysis.
QC5.53
530.15
An Introduction to the Numerical Analysis of Spectral Methods [electronic resource] / by Bertrand Mercier. - V, 154 p. 1 illus. online resource. - Lecture Notes in Physics, 318 0075-8450 ; . - Lecture Notes in Physics, 318 .
This is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences. The first part is a fairly complete introduction to Fourier series while the second emphasizes polynomial expansion methods like Chebyshev's. The author gives rigorous proofs of fundamental results related to one-dimensional advection and diffusions equations. The book addresses students as well as practitioners of numerical analysis.
9783540461586
10.1007/BFb0020591 doi
Mathematical physics.
Engineering mathematics.
Numerical analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Fluid- and Aerodynamics.
Mathematical and Computational Engineering.
Numerical Analysis.
QC5.53
530.15