Sökning: "integral equations"

Visar resultat 1 - 5 av 98 avhandlingar innehållade orden integral equations.

1. 1. Approximations of Integral Equations for WaveScattering

   Författare :Andreas Atle; Björn Engquist; Richard Tsai; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Integral equations; Marching on in time; On surface radiation condition; Physical Optics; Numerical analysis; Numerisk analys;

   Sammanfattning : Wave scattering is the phenomenon in which a wave field interacts with physical objects. An incoming wave is scattered at the surface of the object and a scattered wave is produced. Common practical cases are acoustic, electromagnetic and elastic wave scattering. LÄS MER

3. 2. Fast Algorithms for Integral Equations and Least Squares Identification Problems

   Författare :Stefan Ljung; Linköpings universitet; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Fast algorithms; Integral equations; Least squares; Identification;

   Sammanfattning : This work is concerned with fast algorithms for integral equations and least squares identification problems.The presentation is divided into three parts. In the first part a fast algorithm for solving systems oflinear equations with a matrix that is alm ost Toeplitz is derived and applied to Fredholm integral equations with stationary kernels. LÄS MER

4. 3. Regularity of multilinear oscillatory integral operators and nonlinear dispersive partial differential equations

   Författare :Aksel Bergfeldt; Wolfgang Staubach; Dorothee Frey; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; oscillatory integral operators; partial differential equations; Mathematics; Matematik;

   Sammanfattning : We show regularity of multilinear Schrödinger integral operators as well as multilinear oscillatory integrals with connection to dispersive partial differential equations. These results are used to show regularity of a system of nonlinear dispersive partial differential equations... LÄS MER

5. 4. Counting solutions to Diophantine equations

   Författare :Oscar Marmon; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Integral points; rational points; counting function; exponential sums; Weyl differencing; van der Corput s method; determinant method; sum of k-th powers; counting function;

   Sammanfattning : This thesis presents various results concerning the density of rational and integral points on algebraic varieties. These results are proven with methods from analytic number theory as well as algebraic geometry. LÄS MER

7. 5. Singular Integral Equations: Applications to Elasticity and Numerical Solution

   Författare :Jonas Englund; Matematik LTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Datalogi; numerisk analys; system; kontroll; fracture mechanics; second kind integral equation; Nyström scheme; Computer science; control; systems; numerical analysis;

   Sammanfattning : The purpose of this thesis is to develop stable, accurate, and efficient numerical algorithms for the solution of certain problems in materials science using integral equations. All the appearing integral equations are of the second kind. Such equations are typically well suited for numerical solution. LÄS MER