Preface -- Gröbner Bases in Algebraic Analysis: New Perspectives for Applications -- Solving Systems of Linear Partial Difference and Differential Equations with Constant Coefficients Using Gröbner Bases -- Computation of the Strength of Systems of Difference Equations via Generalized Gröbner Bases -- Editors' Note in Memory of Giuseppa Carra Ferro -- A Survey on Differential Gröbner Bases -- Differential Elimination and Biological Modelling -- Janet Bases and Applications -- Spencer Cohomology, Differential Equations, and Pommaret Bases -- Differential Invariants for Lie Pseudo-groups -- Invariant Theory and Differential Operators -- Compatibility Complexes for Overdetermined Boundary Problems -- On Initial Value Problems for Ordinary Differential-Algebraic Equations -- Index.