Partial Differential Equations An Introduction
By A. Choudary, S. Parveen, C. Varsan. 2010
446 citations recorded by the source corpus.
This book encompasses both traditional and modern methods treating partial differential equation (PDE) of first order and second order. There is a balance in making a selfcontained mathematical text and introducing new subjects. The Lie algebras of vector fields and their algebraic-geometric representations are involved in solving overdetermined of PDE and getting integral representation of stochastic differential equations (SDE). It is addressing to all scientists using PDE in treating mathematical methods.
Subfields: Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/9cbafdca8ef8b01ae0c9a8344162c5ce3fdd1c6b
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Citations in the corpus
- Spherical Harmonics in p Dimensions (2012, background): “If the reader is interested in studying the usual spherical harmonics of R3 in depth, there are a multitude of sources we can recommend, including [1], [2], [3] and [13].”
- Classes of Hardy spaces associated with operators, duality theorem and applications (2008, unknown): “See page 57 of [31].”
- The Stefan problem (2015, background): “The study of the invariant transformations and the derivation of the fundamental solution of heat equation can be found in both [11], pages 34-38 and [14], pages 46-52.”