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Differential and Integral Equations and Their Applications


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Applications of Lie Groups to Difference Equations

Applications of Lie Groups to Difference Equations

1st Edition

Vladimir Dorodnitsyn
June 16, 2017

Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for...

Elliptic Theory on Singular Manifolds

Elliptic Theory on Singular Manifolds

1st Edition

Vladimir E. Nazaikinskii, Anton Yu. Savin, Bert-Wolfgang Schulze, Boris Yu. Sternin
August 12, 2005

The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and require completely new mathematical notions and theories. While there has recently been much progress in the field, many of these results have remained scattered in...

Equations of Mathematical Diffraction Theory

Equations of Mathematical Diffraction Theory

1st Edition

Mezhlum A. Sumbatyan, Antonio Scalia
September 29, 2004

Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the...

Group-Theoretic Methods in Mechanics and Applied Mathematics

Group-Theoretic Methods in Mechanics and Applied Mathematics

1st Edition

D.M. Klimov, V. Ph. Zhuravlev
August 15, 2002

Group analysis of differential equations has applications to various problems in nonlinear mechanics and physics. For the first time, this book gives the systematic group analysis of main postulates of classical and relativistic mechanics. The consistent presentation of Lie group theory is...

Quantization Methods in the Theory of Differential Equations

Quantization Methods in the Theory of Differential Equations

1st Edition

Vladimir E. Nazaikinskii, B.-W. Schulze, Boris Yu. Sternin
May 16, 2002

This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types...

Handbook of First-Order Partial Differential Equations

Handbook of First-Order Partial Differential Equations

1st Edition

Andrei D. Polyanin, Valentin F. Zaitsev, Alain Moussiaux
November 15, 2001

This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. At the beginning of each...

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