Sökning: "Differential algebraic equations"

Visar resultat 6 - 10 av 56 avhandlingar innehållade orden Differential algebraic equations.

  1. 6. Systems of Linear First Order Partial Differential Equations Admitting a Bilinear Multiplication of Solutions

    Författare :Jens Jonasson; Stefan Rauch; Sergio Benenti; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Cauchy–Riemann equations; holomorphic functions; algebra; MATHEMATICS; MATEMATIK;

    Sammanfattning : The Cauchy–Riemann equations admit a bilinear multiplication of solutions, since the product of two holomorphic functions is again holomorphic. This multiplication plays the role of a nonlinear superposition principle for solutions, allowing for construction of new solutions from already known ones, and it leads to the exceptional property of the Cauchy–Riemann equations that all solutions can locally be built from power series of a single solution z = x + iy ∈ C. LÄS MER

  3. 7. Construction of Adaptive Multistep Methods for Problems with Discontinuities, Invariants, and Constraints

    Författare :Fatemeh Mohammadi; Numerisk analys; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; multistep methods; Initialization; beta-blocking; Discontinuity; Time adaptivity; Strong stability preserving; Differential algebraic equations;

    Sammanfattning : Adaptive multistep methods have been widely used to solve initial value problems. These ordinary differential equations (ODEs) may arise from semi-discretization of time-dependent partial differential equations(PDEs) or may combine with some algebraic equations to represent a differential algebraic equations (DAEs). LÄS MER

  4. 8. Group classification of linear Schrödinger equations by the algebraic method

    Författare :Célestin Kurujyibwami; Peter Basarab-Horwath; Roman Popovych; Rita Tracinà; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis is devoted to the group classification of linear Schrödinger equations. The study of Lie symmetries of such equations was initiated more than 40 years ago using the classical Lie infinitesimal method for specific types of real-valued potentials. LÄS MER

  5. 9. Tools for Structured Matrix Computations : Stratifications and Coupled Sylvester Equations

    Författare :Andrii Dmytryshyn; Bo Kågström; Volker Mehrmann; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : Developing theory, algorithms, and software tools for analyzing matrix pencils whose matrices have various structures are contemporary research problems. Such matrices are often coming from discretizations of systems of differential-algebraic equations. LÄS MER

  7. 10. Parameter Estimation in Linear Descriptor Systems

    Författare :Markus Gerdin; Linköpings universitet; []
    Nyckelord :differential-algebraic equations; descriptor systems; identification; TECHNOLOGY; TEKNIKVETENSKAP;

    Sammanfattning : Linear descriptor systems form the natural way in which linear models of physical systems are delivered from an object-oriented modeling tool like Modelica. Linear descriptor systems are also known as linear differential-algebraic equations in the continuous-time case. LÄS MER