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1

Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations

Eugene Allgower and Kurt Georg

Journal:

Year:

1980

Language:

english

File:

PDF, 4.83 MB

english, 1980

2

[Springer Series in Computational Mathematics] Numerical Continuation Methods Volume 13 ||

Allgower, Eugene L., Georg, Kurt

Year:

1990

Language:

english

File:

PDF, 31.76 MB

english, 1990

3

Introduction to Numerical Continuation Methods || Front Matter

Allgower, Eugene L., Georg, Kurt

Year:

2003

Language:

english

File:

PDF, 880 KB

english, 2003

4

Numerical exploitation of symmetry in integral equations

Eugene L. Allgower, Kurt Georg

Journal:

Advances in Computational Mathematics

Year:

1998

Language:

english

File:

PDF, 150 KB

english, 1998

5

Bifurcation and Symmetry || Hopf bifurcation at non-semisimple eigenvalues: a singularity theory approach

Allgower, Eugene L., Böhmer, Klaus, Golubitsky, Martin

Year:

1992

Language:

english

File:

PDF, 1.08 MB

english, 1992

6

Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations

Allgower, Eugene, Georg, Kurt

Journal:

Year:

1980

Language:

english

File:

PDF, 7.22 MB

english, 1980

7

[Handbook of Numerical Analysis] Techniques of Scientific Computing (Part 2) Volume 5 || Numerical path following

Allgower, Eugene L.

Year:

1997

Language:

english

File:

PDF, 8.73 MB

english, 1997

8

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || A survey of homotopy methods for smooth mappings

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 772 KB

english, 1981

9

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || Chaotic mappings on S1 periods one, two, three imply chaos on S1

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 445 KB

english, 1981

10

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || Labelling rules and orientation: On Sperner's lemma and brouwer degree

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 592 KB

english, 1981

11

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || An introduction to variable dimension algorithms for solving systems of equations

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 1.52 MB

english, 1981

12

Numerical Exploitation of Equivariance

Eugene L. Allgower, Kurt Georg, Rick Miranda, Johannes Tausch

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

1998

Language:

english

File:

PDF, 236 KB

english, 1998

13

An extended equivariant branching theory

Eugene L. Allgower, Klaus Böhmer, Mei Zhen

Journal:

Mathematical Methods in the Applied Sciences

Year:

1992

Language:

english

File:

PDF, 895 KB

english, 1992

14

On the Complexity of Exclusion Algorithms for Optimization

Eugene Allgower, Melissa Erdmann, Kurt Georg

Journal:

Journal of Complexity

Year:

2002

Language:

english

File:

PDF, 133 KB

english, 2002

15

Piecewise Linear Approximation of Smooth Compact Fibers

Eugene L. Allgower, Andrew J. Sommese

Journal:

Journal of Complexity

Year:

2002

Language:

english

File:

PDF, 116 KB

english, 2002

16

Joint AMS–SIAM Conference

Eugene Allgower, Kurt Georg, Christopher Sikorski

Journal:

Journal of Complexity

Year:

2002

Language:

english

File:

PDF, 39 KB

english, 2002

17

Volume integrals for boundary element methods

Eugene L. Allgower, Kurt Georg, Ralf Widmann

Journal:

Journal of Computational and Applied Mathematics

Year:

1991

Language:

english

File:

PDF, 923 KB

english, 1991

18

Estimates for piecewise linear approximations of implicitly defined manifolds

Eugene L. Allgower, Kurt Georg

Journal:

Applied Mathematics Letters

Year:

1989

Language:

english

File:

PDF, 377 KB

english, 1989

19

Piecewise linear methods for nonlinear equations and optimization

Eugene L. Allgower, Kurt Georg

Journal:

Journal of Computational and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 133 KB

english, 2000

20

Functional derivatives

Eugene Allgower

Journal:

Rendiconti del Circolo Matematico di Palermo (1952 -)

Year:

1965

Language:

english

File:

PDF, 428 KB

english, 1965

21

Continuation and path following

Allgower, Eugene L., Georg, Kurt

Journal:

Year:

1993

Language:

english

File:

PDF, 3.87 MB

english, 1993

22

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || On the numerical approximation of secondary bifurcation problems

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 475 KB

english, 1981

23

An Algorithm for Piecewise-Linear Approximation of an Implicitly Defined Manifold

Allgower, Eugene L., Schmidt, Phillip H.

Journal:

SIAM Journal on Numerical Analysis

Year:

1985

Language:

english

File:

PDF, 2.42 MB

english, 1985

24

An Algorithm for Piecewise Linear Approximation of Implicitly Defined Two-Dimensional Surfaces

Allgower, Eugene L., Gnutzmann, Stefan

Journal:

SIAM Journal on Numerical Analysis

Year:

1987

Language:

english

File:

PDF, 1.95 MB

english, 1987

25

Exploiting Symmetry in Boundary Element Methods

Allgower, Eugene L., Böhmer, Klaus, Georg, Kurt, Miranda, Rick

Journal:

SIAM Journal on Numerical Analysis

Year:

1992

Language:

english

File:

PDF, 1.87 MB

english, 1992

26

Foreword

Allgower, Eugene, Liu, James

Journal:

Journal of Computational and Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 116 KB

english, 2013

27

Numerical Analysis: A Mathematical Introductionby Michelle Schatzman

Review by: Eugene L. Allgower

Journal:

Year:

2004

Language:

english

File:

PDF, 368 KB

english, 2004

28

Exploiting Symmetry in Boundary Element Methods

Eugene L. Allgower, Klaus Böhmer, Kurt Georg and Rick Miranda

Journal:

SIAM Journal on Numerical Analysis

Year:

1992

Language:

english

File:

PDF, 425 KB

english, 1992

29

The Method of Resultants for Computing Real Solutions of Polynomial Systems

Eugene L. Allgower, Kurt Georg and Rick Miranda

Journal:

SIAM Journal on Numerical Analysis

Year:

1992

Language:

english

File:

PDF, 348 KB

english, 1992

30

An Introduction to Numerical Analysisby E. Süli; D. Mayers

Review by: Eugene L. Allgower

Journal:

Year:

2004

Language:

english

File:

PDF, 350 KB

english, 2004

31

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || Positive and spurious solutions of nonlinear eigenvalue problems

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 1.40 MB

english, 1981

32

The Method of Resultants for Computing Real Solutions of Polynomial Systems

Allgower, Eugene L., Georg, Kurt, Miranda, Rick

Journal:

SIAM Journal on Numerical Analysis

Year:

1992

Language:

english

File:

PDF, 1.59 MB

english, 1992

33

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || Some improvements of classical iterative methods for the solution of nonlinear equations

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 359 KB

english, 1981

34

Branch switching at a corank-4 bifurcation point of semi-linear elliptic problems with symmetry

ALLGOWER, EUGENE, BÖHMER, KLAUS, ZHEN, MEI

Journal:

IMA Journal of Numerical Analysis

Year:

1994

Language:

english

File:

PDF, 817 KB

english, 1994

35

Application of numerical continuation to compute all solutions of semilinear elliptic equations

Allgower, Eugene, Cruceanu, Stefan-Gicu, Tavener, Simon

Journal:

Advances in Geometry

Year:

2009

Language:

english

File:

PDF, 414 KB

english, 2009

36

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || An algorithm for ultrasonic tomography based on inversion of the Helmholtz equation

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 647 KB

english, 1981

37

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || Numerical integration of the Davidenko equation

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 806 KB

english, 1981

38

An Algorithm for Piecewise Linear Approximation of Implicitly Defined Two- Dimensional Surfaces

Eugene L. Allgower and Stefan Gnutzmann

Journal:

SIAM Journal on Numerical Analysis

Year:

1987

Language:

english

File:

PDF, 2.10 MB

english, 1987

39

Computing Volumes of Polyhedra

Eugene L. Allgower and Phillip H. Schmidt

Journal:

Mathematics of Computation

Year:

1986

Language:

english

File:

PDF, 457 KB

english, 1986

40

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || Change of structure and chaos for solutions of $$\dot x$$ (t) = −f(x(t−1))

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 603 KB

english, 1981

41

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || On the numerical solution of contact problems

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 448 KB

english, 1981

42

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || Fixpunktprinzipien und Freie Randwertaufgaben

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

File:

PDF, 556 KB

1981

43

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || A derivative-free arc continuation method and a bifurcation technique

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 523 KB

english, 1981

44

[Lecture Notes in Mathematics] Numerical Solution of Nonlinear Equations Volume 878 || A duffing equation with more than 20 branch points

Allgower, Eugene L., Glashoff, Klaus, Peitgen, Heinz-Otto

Year:

1981

Language:

english

File:

PDF, 251 KB

english, 1981

45

Computing volumes of polyhedra

Allgower, Eugene L., Schmidt, Phillip H.

Journal:

Mathematics of Computation

Year:

1986

Language:

english

File:

PDF, 388 KB

english, 1986

46

Introduction to Numerical Continuation Methods || 2. The Basic Principles of Continuation Methods

Allgower, Eugene L., Georg, Kurt

Year:

2003

Language:

english

File:

PDF, 592 KB

english, 2003

47

Introduction to Numerical Continuation Methods || 10. Large Scale Problems

Allgower, Eugene L., Georg, Kurt

Year:

2003

Language:

english

File:

PDF, 800 KB

english, 2003

48

Introduction to Numerical Continuation Methods || 8. Detection of Bifurcation Points along a Curve

Allgower, Eugene L., Georg, Kurt

Year:

2003

Language:

english

File:

PDF, 930 KB

english, 2003

49

Introduction to Numerical Continuation Methods || Appendix B: Program 2. A PL Homotopy Method

Allgower, Eugene L., Georg, Kurt

Year:

2003

Language:

english

File:

PDF, 503 KB

english, 2003

50

Introduction to Numerical Continuation Methods || 16. Update Methods and Their Numerical Stability

Allgower, Eugene L., Georg, Kurt

Year:

2003

Language:

english

File:

PDF, 721 KB

english, 2003