SUNDIALS: Suite of Nonlinear and Differential/Algebraic Equation Solvers ALAN C. HINDMARSH, PETER N. BROWN, KEITH E. GRANT, STEVEN L. LEE, RADU SERBAN, DAN E. SHUMAKER, and CAROL S. WOODWARD Lawrence Livermore National L

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Register Date Title Regularity of fractional maximal functions and extremal timpa Acfunctions of exponential type

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• Mathematics
• Calculus
• Algebra
• Dynamical systems
• Multivariable calculus
• Partial differential equation
• Algebraic geometry
• Complex number
• Integrable system
• Abstract algebra
• Nonlinear system
• Representation theory

COMPUTING COMPLEX SINGULARITIES OF DIFFERENTIAL EQUATIONS WITH CHEBFUN AUTHOR: MARCUS WEBB∗ AND ADVISOR: LLOYD N. TREFETHEN† Abstract. Given a solution to an ordinary differential equation (ODE) on a time interval, t

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• Mathematical analysis
• Mathematics
• Analysis
• Interpolation
• Meromorphic functions
• Polynomials
• Algebraic varieties
• Complex analysis
• Chebyshev polynomials
• Chebfun
• Rational function
• Taylor series

An Algebraic Method for Analyzing Open-Loop Dynamic Systems W. Zhou, D.J. Jeffrey, and G.J. Reid Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7

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• Mathematics
• Physics
• Elementary algebra
• Differential equations
• Mathematical analysis
• Multivariable calculus
• Equations
• Partial differential equation
• Nonlinear system
• Linear equation
• Equations of motion

Singular Elliptic Partial Differential Equations Daniel Grieser (Carl von Ossietzky Universit¨ at Oldenburg) September 19, 2012

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• Mathematical analysis
• Calculus
• Mathematics
• Differential operators
• Elliptic operator
• Partial differential equation
• Vector field
• Differential equation
• Ordinary differential equation
• Singular point of an algebraic variety
• Pseudo-differential operator

EQUATION-SOLVING WITH A SPECIAL FOCUS ON THE LINEAR CASE: A PRIMER MATH 196, SECTION 57 (VIPUL NAIK) Executive summary Words ...

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• Mathematics
• Equations
• Algebra
• Logical truth
• System of linear equations
• Equation solving
• Equation
• Algebraic equation
• Recurrence relation
• Linear equation
• Differential equation
• Elementary algebra

Analysis of operator differential-algebraic equations arising in fluid dynamics. Part I. The finite dimensional case Etienne Emmrich∗ Volker Mehrmann‡

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• Numerical analysis
• Matrix theory
• Differential equations
• E11
• Differential algebraic equation
• Discretization
• Jordan normal form

Analysis of operator differential-algebraic equations arising in fluid dynamics. Part II. The infinite dimensional case ∗ Volker Mehrmann‡ Etienne Emmrich

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• Linear algebra
• Matrix theory
• Numerical analysis
• Differential equations
• Schur complement
• Differential algebraic equation
• Discretization
• Jordan normal form
• Eigenvalues and eigenvectors
• Matrix exponential

A THEORY OF ORDINARY P-ADIC CURVES A Theory of Ordinary p-adic Curves By Shinichi MOCHIZUKI*

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• Algebraic geometry
• Complex analysis
• Riemann surfaces
• Vector bundles
• Algebraic varieties
• Canonical bundle
• Beltrami equation
• Indigenous bundle
• Ample line bundle
• Supersingular elliptic curve
• Differential geometry of surfaces
• Chern class

New Publications Offered by the AMS Algebra and Algebraic Geometry Analysis

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• Guggenheim Fellows
• Harmonic analysis
• Real analysis
• Antoni Zygmund
• Singular integral
• Elias M. Stein
• Charles Fefferman
• variste Galois
• Roger Jones
• Galois theory
• Differential equation
• Equation